The given Commutative Property is 8y - 0.2y + 0.5y + 2.2 + 1.3 - 0.4 by solving this property we get the answer as (8.3y + 3.1).
What is a commutative property?The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
What is associative property?According to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped. According to the question,
Steps involved are:-
ReorderingGroupingFactorizingSimplifyingSo,
8y - 0.2y + 0.5y + 2.2 + 1.3 - 0.4
= (8 - 0.2 + 0.5) y + (2.2 + 1.3 - 0.4)
= (8 + 0.5 - 0.2) y + (2.2 + 1.3 - 0.4)
= (8.5 - 0.2) y + (3.5 - 0.4)
= (8.3) y + 3.1
= (8.3y + 3.1)
Thus , by following all the steps and properties we get the obtained result.
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Given: Angle 1 and angle 3 are vertical angles. Prove: angle 1 = angle 3
Choices:
(May be used more that once)
A) Definition of Supplementary
B) Definition of Linear Pair
C) Angle Congruence Postulate
D) Linear Pair Postulate
E) Substitution Property of Equality
F) Given
G) Subtraction Property of Equality
The correct choice to prove that angle 1 is equal to angle 3 is C) Angle Congruence Postulate.
To prove that angle 1 is equal to angle 3, we can use the Angle Congruence Postulate.
This postulate states that if two angles have the same measure, then they are congruent.
In this case, angle 1 and angle 3 are vertical angles.
Vertical angles are formed by two intersecting lines and are opposite each other.
Since they are opposite angles, they have the same measure.
Therefore, we can conclude that angle 1 is congruent to angle 3 based on the Angle Congruence Postulate.
In summary, the correct choice to prove that angle 1 is equal to angle 3 is C) Angle Congruence Postulate.
Using the Angle Congruence Postulate, we can show that angle 1 and angle 3 have the same measure.
This is because they are vertical angles, which are opposite angles formed when two lines intersect.
Vertical angles are congruent, meaning they have equal measures.
Please note that there may be other ways to prove that angle 1 is equal to angle 3, but in this case, the Angle Congruence Postulate is the most appropriate choice.
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Alice gardener wants to build a rectangular enclosure with a dividing fence in the middle of the rectangle. On one side, she plans to put some goats, on the other side she wants to raise some vegetables. The fence along the outside of the rectangle costs $3 per foot, but the dividing fence costs $12 per foot.
(a) Alice decides to spend $240 on the fencing, what is the maximum area she can enclose? Justify your answer.
(b) If Alice decided she wants to enclose 300 square feet, what is the minimum cost?
Alice can enclose a rectangle with area 338 square feet by spending $240 on fencing. The minimum cost to enclose 300 square feet is $476.64.
Let's suppose that the rectangle is x feet wide, so its length is 2x. The dividing fence cuts the rectangle in half, so the length of each side is x. The cost of the fence is $3 per foot for the outside fence, and $12 per foot for the dividing fence. Alice has $240 to spend, so
$3(2x) + $12(x) = $240
Solving for x, we get
6x + 12x = 240
18x = 240
x = 13.33
Since x has to be a whole number, we can use 13 as the width. The length is 2x, or 26 feet. The area of the rectangle is
13 x 26 = 338 square feet
If Alice wants to enclose 300 square feet, we know that the area of the rectangle is
Area = width x length
Since the rectangle is divided in half by the dividing fence, the length of each side is half the total length, or x. So
Area = x²
We can rearrange this to solve for x
x² = 300
x = √(300) = 17.32 (rounded to two decimal places)
Since the width of the rectangle is half the length, the width is:
Width = 17.32 / 2 = 8.66 (rounded to two decimal places)
The total length is twice the width, or 17.32. The perimeter of the rectangle is
2(8.66 + 17.32) = 52.96 feet
The cost of the outside fence is $3 per foot, so the cost of the outside fence is
$3(52.96) = $158.88
The dividing fence is in the middle of the rectangle, so the length is half the perimeter, or 26.48 feet. The cost of the dividing fence is $12 per foot, so the cost is
$12(26.48) = $317.76
The total cost is the sum of the cost of the outside fence and the dividing fence
$158.88 + $317.76 = $476.64.
Therefore, the minimum cost to enclose 300 square feet is $476.64.
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camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her
Answer:
59 years and younger
Step-by-step explanation:
A bag is filled with red marbles and blue marbles. There are 54 total marbles in the bag and 1/3 of the marbles are blue. Choose the correct option for each
main khud dhoond rha tha asignment ke waqt
Danny draws a triangle using three angles each measuring 60°. Which statement can be made about Danny's triangle?
Responses
The statement that can be made about Danny's triangle is D. Danny's triangle could be any equilateral triangle
What is an equilateral triangle?An equilateral triangle, which is also referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle.
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
In conclusion, the correct option is D.
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What is a place value chart in maths?
In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.
The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.
A place value chart can be used to understand the value of a digit in a number.
Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.
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The probability of the simultaneous occurrence of two events A and B is equal to the probability of A multiplied by the conditional probability of B giten that A has occurred (it is also equal to the probability of B multiplied by the conditional probability of A given that B has occurred).
When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.
The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.
Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.
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The vertex is always the highest point of a function.
True false question.
True
False
Answer:
False!
Step-by-step explanation:
See picture for examples.
Compare the coefficient of determination and coefficient of
correlation true or false
If a variable x does not depend on a variable y, both
coefficients are equal to zero.
The determination coeffici
False. the statement "If a variable x does not depend on a variable y, both coefficients are equal to zero" is false.
The coefficient of determination (R-squared) and the coefficient of correlation (Pearson's correlation coefficient) are related but distinct measures.
The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable (y) that can be explained by the independent variable(s) (x). It ranges from 0 to 1, where a value of 0 indicates that the independent variable(s) do not explain any of the variance in the dependent variable, and a value of 1 indicates that the independent variable(s) completely explain the variance in the dependent variable.
On the other hand, the coefficient of correlation, denoted as r, measures the strength and direction of the linear relationship between two variables (x and y). It also ranges from -1 to 1, where a value of -1 indicates a perfect negative linear relationship, a value of 0 indicates no linear relationship, and a value of 1 indicates a perfect positive linear relationship.
If a variable x does not depend on variable y, it means there is no linear relationship between the two variables. In this case, the coefficient of correlation (r) would be 0, indicating no linear relationship. However, the coefficient of determination (R²) could still be non-zero if there are other independent variables that explain the variance in the dependent variable y.
Therefore, the statement "If a variable x does not depend on a variable y, both coefficients are equal to zero" is false.
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a farmer wants to build a rectangular enclosure, using the side wall of his barn and the other 3 sides created by fencing. he has 70 meters of fencing. what is the largest area he can fence in?
The largest area a farmer can fence in is 612.5 m².
The given question is based on finding the largest area a farmer can fence in for building a rectangular enclosure.
The farmer is given with 70 meters of fencing for fencing 3 sides of a rectangular enclosure.
The enclosure's fourth side is the wall of the farmer's barn.
To find the largest area fenced in, the farmer must try to use all 70 meters of fencing to enclose as large an area as possible.
First, let's assume that the rectangular enclosure's width is x.
So, we can find the length by dividing the remaining length of fencing after subtracting the width of the fence from the total length of fencing.
The remaining length of fencing is 70 - 2x.
After calculating the length, the area of the rectangular enclosure can be calculated by multiplying length and width.
The formula for calculating the area of the rectangle is A = l x w.
A = (70 - 2x)x
= 70x - 2x²
To find the maximum area fenced in, differentiate A with respect to x and equate it to zero.
dA/dx = 70 - 4x
=0x = 17.5 meters.
After finding x, the length of the enclosure can be calculated by subtracting the width from the total length of fencing.
l = 70 - 2x = 70 - 2(17.5) = 35 meters.
Therefore, the largest area fenced in will be A = l x
w = 35 x 17.5 = 612.5 m².
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En el bar de Marta tienen empanadas de carne y empanadas de cebolla. La cantidad de empanadas de carne es un cuarto de la cantidad de empanadas de cebolla y en total tienen 85 empanadas.
¿Cuántas empanadas de cebolla tienen?
Answer:a. 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes
b. 16 empanadas
Step-by-step explanation:Since each of these ingredients is needed and the recipe is for a single empanada, each ingredient in the recipe must be multiplied by 6 since they are 6 empanadas, like this:
1/4 kg tuna * 6 = 6/4 = 3/2 kg tuna
1/6 kg of onion * 6 = 6/6 = 1 kg of onion
1/8 kg of red pepper * 6 = 6/8 = 3/4 kg of red pepper
2/5 kg of tomatoes * 6 = 12/5 kg of tomatoes
Therefore 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes need it.
Now, with 2 kg of red pepper, what we should do is divide this quantity by the quantity for a recipe, like this:
2 / (1/8) = 16
that is to say that with 2 kg of red pepper, a total of 16 empanadas would be made
Find the probability of the indicated event if P(E)=0.20 and P(F)=0.45. Find P(E or F) i PE and F)=0.10. P(E or F)-
The probability of event E is 0.20, the probability of event F is 0.45, and the probability of both E and F occurring is 0.10. Therefore, the probability of either event E or event F occurring, denoted as P(E or F), is 0.65.
Given that P(E) = 0.20 and P(F) = 0.45, we also know that P(E and F) = 0.10. Using the formula P(E or F) = P(E) + P(F) - P(E and F), we can substitute the values and calculate the probability of either event E or event F occurring.
P(E or F) = P(E) + P(F) - P(E and F)
P(E or F) = 0.20 + 0.45 - 0.10
P(E or F) = 0.65
Therefore, the probability of either event E or event F occurring, denoted as P(E or F), is 0.65.
The concept behind this formula is that when we add the individual probabilities of E and F, we count their intersection (P(E and F)) twice. Since we want to avoid double-counting the intersection, we subtract P(E and F) from the sum of P(E) and P(F). This gives us the probability of either event E or event F occurring.
In this case, the probability of either event E or event F occurring is 0.65, indicating a relatively high likelihood of one of the events happening.
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Your cousin plays point guard for her community basketball team. When she plays in a game, four out of every seven baskets she scores for her team are lay-ups.
If your cousin scores fourteen baskets for her team at Saturday night's game, how many were lay-ups?
If, during the course of the season, your cousin scores one hundred nineteen baskets for her team, how many were lay-ups?
If, during a month of playing in basketball games, your cousin makes twenty four lay-ups, how many total baskets did she score for her team?
Answer:
Step-by-step explanation:
8
because if you devide 14 by 7 you get 2 so you times 4 by 2 and get 8
Answer:
1. 8 are lay ups
2. 68 are lay ups.
3. She scored 42.
Step-by-step explanation:
which of the following data flow diagram symbols is used to show a transformation process in a dfd? a. an image shows a small shaded triangle. b. an image shows two small solid lines arranged one above the other. c. an image shows a circle. d. an image shows a square.
Circle
The symbol used to represent the transformation process in a DFD (Data Flow Diagram) is a circle. Therefore, the option (c) is correct.The DFD is a graphical representation of the data flow through an information system. It is used to represent and design systems analysis and information systems architecture of an organization. A DFD consists of various symbols that are used to represent the components of the system, such as processes, data flows, and data stores. Below are the details of all the options given in the question:Option (a) shows a small shaded triangle. This symbol is used to represent the flow of data from one place to another in a single direction.Option (b) shows two small solid lines arranged one above the other. This symbol is used to represent a document or report in the data flow.Option (d) shows a square. This symbol is used to represent a data store or a database.In summary, a circle is used to represent the transformation process in a DFD.
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Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is yellowyellow is P(yellowyellow)equals=StartFraction 5 Over 25 EndFraction
5
25. Write this probability as a decimal. Use a word or phrase to describe this probability.
Answer: 0.2
Step-by-step explanation:
Since the probability that the disk chosen is 5/25, thus can be written in decimal as 0.2.
This means that in a bag of 15 colored plastics discs with different colors, the probability of picking a yellow colored disk is 0.2.
what are the roots of the equation x^2 +30x =1000?
Answer:
x=20 and x=-50
Step-by-step explanation:
To find the roots, we need to simply solve for x. We do this by first moving all of the terms to the left and setting the right side equal to 0.
-1000
x^2+30x-1000=0
Now, factor it.
What adds up to 30 but multiplies to get -1000?
-10 and 40? No, because they multiply to get -400.
-20 and 50? Yes, because they add up to 30 and multiply to get -1000.
(x-20)(x+50)
x-20=0
x=20
x+50=0
x=-50
So, the roots are x=20 and x=-50
Given :-
x² + 30x = 1000 .To Find :-
The roots of the equation .Solution :-
As we know that if the quadratic equation is in standard form which is ,
\( ax^2+bx + c =0\)
Then its roots are given by ,
\( x =\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
So on converting the equation in standard form ,
\( x^2+30x -1000=0\)
With respect to the standard form ,
a = 1b = 30c = -1000Substitute in the Quadratic formula ,
\( x =\dfrac{-30\pm \sqrt{(30)^2-4(1)(-1000)}}{2(1)}\)
Simplify,
\( x =\dfrac{-30\pm\sqrt{900+4000}}{2}\)
Add the numbers inside square root ,
\( x =\dfrac{-30\pm\sqrt{4900}}{2}\)
Divide each term in numerator by 2,
\( x =\dfrac{-30}{2}\pm\dfrac{\sqrt{70^2}}{2}\)
Simplify ,
\( x = -15 \pm 35 \)
Separate the two solutions ,
\( x = -15 + 35 , -15 -35\)
Simplify ,
\(x = 20 , -50 \)
Hence the solution of the equation are 20 and -50 .
I hope this helps.
An ANOVA procedure is used for data obtained from four populations. Four samples, each comprised of 30 observations, were taken from the four populations. The numerator and denominator (respectively) degrees of freedom for the critical value of F areSelect one:A. 3 and 30B. 4 and 30C. 3 and 119D. 3 and 116
The numerator and denominator is D. 3 and 116.
What is numerator and denominator?In fractions, the numerator and denominator are the two constituent parts. They comprise fractions, in other words. A fraction's top digit is always referred to as the numerator. It displays the quantity of our parts. A fraction's numerator—the lowest digit—is referred to as the denominator. It displays the overall number of pieces that something can be broken down into.
For an ANOVA procedure with k groups (in this case, k=4), the degrees of freedom for the numerator and denominator of the F-statistic are given by:
- Numerator degrees of freedom: k-1
- Denominator degrees of freedom: n-k, where n is the total sample size (in this case, n=4*30=120)
Therefore, for the given ANOVA procedure with four samples of 30 observations each, the numerator and denominator degrees of freedom for the critical value of F are:
- Numerator degrees of freedom: 4-1 = 3
- Denominator degrees of freedom: 120-4 = 116
So the answer is D. 3 and 116.
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Triangles E F G and K L M are shown. Angles E F G and K L M are congruent. The length of side K L is 6, the length of side M L is 5, and the length of K M is 8. The length of E G is 24, the length of G F is 15, and the length of E F is 18.
Can the triangles be proven similar using the SSS or SAS similarity theorems?
Yes, △EFG ~ △KLM only by SSS.
Yes, △EFG ~ △KLM only by SAS.
Yes, △EFG ~ △KLM by SSS or SAS.
No, they cannot be proven similar by SSS or SAS
Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.
To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.
SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.
Let's examine the given information:
Side lengths of △EFG: EF = 18, EG = 24, FG = 15.
Side lengths of △KLM: KL = 6, KM = 8, LM = 5.
By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.
Now, let's consider the SAS theorem. For this, we also need to compare the included angles.
Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.
Angles of △KLM: ∠KLM, ∠KML, ∠KLM.
The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem
Option D.
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Answer: Its C
Step-by-step explanation:
X+5x-3x-4 simplified?
Answer:
3x-4
How to find it:
x + 5x - 3x - 4
Add like terms
6x - 3x - 4
Add like terms
3x - 4
Answer:
3x-4
Step-by-step explanation:
Combine like terms, x + 5x gives you 6x but then subtract 3x and you have only 3x.
Keep 4 the same and your answer is 3x-4
Mark brainliest if possible!
How many minutes are there in 3-hours?
4
34
Answer:
180
Step-by-step explanation:
1.5x - 0.25y + 3.5x - 0.75y
Answer:
5x-1y
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. (1.5x+3.5x)-(0.25y+0.75y)
2. 5x-y
3. The answer is 5x-y.
50 points
Please help
Graph -8+x=4y-16
Equation of the line - 8 + x = 4y - 16
In order to graph the line, find its x- and y- intercepts, then connect the two pointsx- intercept, at y = 0:
- 8 + x = 0 - 16x = - 16 + 8x = - 8y- intercept, at x = 0:
- 8 = 4y - 164y = 16 - 84y = 8y = 2The points are (0, 2) and (- 8, 0), plot them and connect to get the graph.
The graph that connects points (-8,0) and (02) is shown below
What is an equation?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
-8+x=4y-16
x- intercept, at y = 0:
- 8 + x = 4(0) - 16
x = - 16 + 8
x = - 8
y- intercept, at x = 0:
- 8 + 0 = 4y - 16
4y = 16 - 8
4y = 8
y = 2
The points are (-8,0) and (02)
So, the graph that connects points (-8,0) and (02) is shown below
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If one zero of 14² − 42² − 9 is the negative of the other, find the value of k �
Given
One of the zeros of 14² − 42² − 9 is the negative of the other.
To find the value of k.
Explanation:
It is given that,
One of the zeros of 14² − 42² − 9 is the negative of the other.
That implies,
Let α, -α be the zeros of the polynomial f(x) = 14² − 42² − 9.
Then,
\(\begin{gathered} f(\alpha)=0 \\ \Rightarrow14\alpha^2-42k^2\alpha-9=0\text{ \_\_\_\_\_\_\lparen1\rparen} \end{gathered}\)Also,
\(\begin{gathered} f(-\alpha)=0 \\ \Rightarrow14\alpha^2+42k^2\alpha-9=0\text{ \_\_\_\_\_\_\lparen2\rparen} \end{gathered}\)Subtracting (1) and (2) implies,
\(\begin{gathered} (2)-(1)\Rightarrow(14\alpha^2+42k^2\alpha-9)-(14\alpha^2-42k^2\alpha-9)=0 \\ \Rightarrow84k^2\alpha=0 \\ \Rightarrow k^2\alpha=0 \\ \because\alpha\ne0\Rightarrow k^2=0 \\ \Rightarrow k=0 \end{gathered}\)Hence, the value of k is 0.
PLEASE HELP ASAP!
Fill in the blanks:
An atom of iron has 26 protons and 32 neutrons. The atomic number of iron is
_______. The mass number of this iron atom is
________.
Answer: An atom of iron has 26 protons and 32 neutrons. The atomic number of iron is 26. the mass number of this iron atom is 55.845 U
Hope this helps :)
For the function f(x)=x^2-7x+6, find x when f(x)= -4
Answer:
50
Step-by-step explanation:
f(-4) = (-4)² - 7(-4) + 6
= 16 + 28 + 6
= 50
What is the main advantage to probability samples (as opposed to non-probability samples)?
Probability samples have the advantage of providing a more representative sample of the population over non-probability samples.
Each member of the population has a known and non-zero chance of being chosen for the sample in probability sampling. This means that every member of the population has an equal chance of being chosen, which aids in reducing selection bias.
As a result, probability samples are more likely to accurately reflect population characteristics and can provide more reliable and valid population inferences.
Non-probability samples, on the other hand, lack this property and may not accurately reflect the population. In a convenience sample, for example, people are chosen simply because they are easily accessible, which may not accurately reflect the population as a whole.
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4% of what number is 44?
Answer: its 1,100
Step-by-step explanation:
What is the domain of the function y=^3/x-1?
The domain of the function y = (3/x) - 1 is all real numbers except x = 0
The domain of a function consists of all the valid input values for which the function is defined. In the case of the function y = (3/x) - 1, the only restriction on the domain arises from the presence of the variable x in the denominator.
To determine the domain, we need to find the values of x for which the expression 3/x is defined. Division by zero is undefined, so we must exclude any value of x that makes the denominator equal to zero.
In this case, we set the denominator, x, equal to zero and solve for x:
x = 0
Therefore, x cannot be equal to zero. All other real numbers are valid input values for this function. Therefore, the domain of the function y = (3/x) - 1 is all real numbers except x = 0. In interval notation, we can represent the domain as (-∞, 0) ∪ (0, ∞).
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the change in altitude (a) of a car as it drives up a hill is described by the following piecewise equation, where d is the distance in meters from the starting point. a { 0 . 5 x if d < 100 50 if d ≥ 100
The car's altitude remains constant at 50 meters beyond 100 meters, option C is the correct answer: C. As the car travels its altitude increases, but then it reaches a plateau and its altitude stays the same.
The piecewise equation given is:
a = {0.5x if d < 100, 50 if d ≥ 100}
To describe the change in altitude of the car as it travels from the starting point to about 200 meters away, we need to consider the different regions based on the distance (d) from the starting point.
For 0 < d < 100 meters, the car's altitude increases linearly with a rate of 0.5 meters per meter of distance traveled. This means that the car's altitude keeps increasing as it travels within this range.
However, when d reaches or exceeds 100 meters, the car's altitude becomes constant at 50 meters. Therefore, the car reaches a plateau where its altitude remains the same.
Since the car's altitude remains constant at 50 meters beyond 100 meters, option C is the correct answer:
C. As the car travels its altitude increases, but then it reaches a plateau and its altitude stays the same.
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Complete question is below
The change in altitude (a) of a car as it drives up a hill is described by the following piecewise equation, where d is the distance in meters from the starting point. a { 0 . 5 x if d < 100 50 if d ≥ 100
Describe the change in altitude of the car as it travels from the starting point to about 200 meters away.
A. As the car travels its altitude keeps increasing.
B. The car's altitude increases until it reaches an altitude of 100 meters.
C. As the car travels its altitude increases, but then it reaches a plateau and its altitude stays the same.
D. The altitude change is more than 200 meters.
Can somebody help me please thank you
Answer:
1.rode
2. Participate
3. Prepared
i don't know about the other ones