1 LAB - Unit 3A: Functions & Relations 5. Using the ordered pairs below, create a function with a range of {-5,0,9}. C C . :: (8.9) :: (4,0) :: (3,0) :: (9,4) :: (3,-5) :: (-5,1) 1 2 2 3 4 5 6 AD WA
Answers
We are asked to type a function that has the range { -5,0, 9}
by using the pairs:
(8, 9), (4, 0) (3, 0) (9, 4) (3, -5) and (-5, 1)
Notice that our relationship must be a FUNCTION, so there should be NO repetition of the first coordinate in the pairs we select.
In roder to have the number "-5" in the Range, we select:
(3, -5)
In order to have the number "0" in the Range, we select either (4, 0) OR (3, 0) but NOT both. So, let's settle for (4, 0)
In order to have the number "9" in the Range, we select (8, 9)
So our function looks like:
(3, -5) , (4, 0), and (8, 9)
Related Questions
Answer correct answer for brainliest
Answers
Answer:
Bro it’s a’c’d the sun the moon and the earth their energy works together pushing and pulling towards the earth creating a gravitational pull.
Step-by-step explanation:
Answer:
It's all of the above. Hope this helps :)
I may be wrong
Hello random community i have a question to ask what is 7/8 - 3/4
Answers
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8
Which value is a solution of the inequalityx∕5 + 2 ≤ 6?
A)
x = 49
B)
x = 15
C)
x = 37
D)
x = 21
Answers
Answer:
B
Step-by-step explanation
the answer comes to \(x\leq 20\) and 15 is the only answer below 20
Answer:
B. x = 15
Step-by-step explanation:
Firstly we simplify the inequality, so we have x on the left side, and every number on the right side\(\frac{x}{5}+2\leq 6\\ \frac{x}{5}+2-(2)\leq 6-(2)\) so we take away 2 on both sides\(\frac{x}{5}\leq 4\) now this is the same as \(\frac{1}{5}*x\leq 4\) Now we multiply by 5 on both sides \(5*\frac{1}{5}*x\leq 5*4\) which is \(\frac{5}{5}*x \leq 20\) which is simply \(x \leq 20\) since 5 divide by 5 is 1 and 1 times x is xSo the inequality \(x \leq 20\) means "every number for x that is less than or equal to 20"Now from the list, the only number that fits is 15. So that's our answerSuppose that IQ scores in one region are normally distributed with a standard deviation of 16. Suppose also that exactly 58% of individuals from this region have IQ scores of greater than 100 (and that 42% do not). what is the mean IQ score for this region? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Answers
The mean IQ score for this region is 83.52. Rounded to one decimal place, the mean IQ score for this region is 83.5.
What is IQ score?IQ, or Intelligence Quotient, is a score derived from specific standardized tests designed to assess a person's cognitive abilities and potential for learning. This score is used to measure a person's intelligence and is calculated by dividing a person's mental age (determined by the test) by their chronological age and then multiplying the result by 100.
Let X be the mean IQ score for this region.
We know that 58% of individuals have an IQ score greater than 100. This means that the IQ score of 100 is the 58th percentile.
From the normal distribution table, the score of the 58th percentile is 1.03 standard deviations above the mean.
Therefore, we can set up the following equation:
1.03σ + X = 100
Where σ is the standard deviation (16).
Substituting 16 for σ and solving for X yields:
1.03(16) + X = 100
16.48 + X = 100
X = 83.52
The mean IQ score for this region is 83.52. Rounded to one decimal place, the mean IQ score for this region is 83.5.
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-3x + 10 = -5
What is the hypothesis?
Answers
Answer:
15
Step-by-step explanation:
-3x = -5-10
-x=-15
therefore, x=15
Which is the smallest ratio?
2
3 to 4, 3, 10:12, 2 to 1
O 3 to 4
O 10:12
O2 to 1
Answers
Comparing the three in their simplest form we have the smallest ratio as 3 to 4.
What is a ratio and how does it apply to math and daily life?A mathematical phrase that compares two values is called a ratio. It is written as the product of the division of two different quantities. As in 2:1 or 2/1, ratios are frequently expressed as a fraction or with a colon.
Mathematicians employ ratios in many different contexts, such as arithmetic, algebra, and geometry. They are used to compare amounts, identify equivalent values, and resolve proportional and rate-of-change issues.
Convert the ratios in their simplest form:
3 to 4 can be simplified by dividing both terms by their greatest common factor, which is 1. Therefore, 3 to 4 is already in its simplest form.
10 to 12 can be simplified by dividing both terms by their greatest common factor, which is 2. So, 10 to 12 simplifies to 5 to 6.
2 to 1 is already in its simplest form.
Thus, comparing the three we have the smallest ratio as 3 to 4.
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if f(x)=x+2/x^2-9 and g(x)=11/x^2+3x
A. find f(x)+g(x)
B. list all of the excluded values
C. classify each type of discontinuty
To receive credit, this must be done by Algebraic methods, not graphing
Answers
The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
A. To find f(x) + g(x), we add the two functions together:
f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)
To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:
f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]
Simplifying the numerator:
f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]
Combining like terms:
f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]
B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:
(x^2 - 9) = 0 --> x = -3, 3
(x^2 + 3x) = 0 --> x = 0, -3
So, the excluded values are x = -3, 0, and 3.
C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.
At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.
At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.
Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
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La media es única ? Cierto o falso
Answers
Answer:
cierto
Step-by-step explanation:
porque son diferentes cosas?
Sim, está cierto...
sketch the graph of
y=x2+x-12
Answers
Answer:
The picture represents y = x^2 +x -12.
x-int = (-4,0) and (3,0)
y-int = (0, -12)
Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.
Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40
Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)
Part B: Based on your answer in part A, which location offers a better deal? Explain
Answers
Part A: Grocery Store: unit price = $1.65 (Tomatoes)
Farmer's Market: unit price = $1.75
Part B: Grocery Store offers a better deal because the unit price is less.
How to determine the unit price of the item at each location?Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e. $5 for one orange.
PART A:
Let's choose tomatoes
Grocery Store
8 tomatoes for $13.20
Unit price = $13.20/8 = $1.65
Farmer's Market10 tomatoes for $17.50
Unit price = $17.50/10 = $1.75
Part B:
The location that offers a better deal is Grocery Store. This is because the unit price is less.
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The length of a rectangle is 9 more than the width. The area is 162 square centimeters. Find the length and width of the rectangle.
Answers
Answer:
Length: 18
Width: 9
Step-by-step explanation:
Denote the width as x, hence the length is x+9. As a result, you can create the equation x(x+9) = 162. Solving, you find x = 9.
22) Two students are taking a math test. After 5 minutes, one student is done 1/3 and the
other is 2/8 done. How much ahead of the second student is the first?
Answers
Answer:
1/12Step-by-step explanation:
We need to find the difference in progress:
1/3 - 2/8 = 1/3 - 1/4 =4/12 - 3/12 = 1/12The first student is 1/12 ahead
A planning team expects that 3,600 people will take buses from the parking lots to the
championship volleyball match. If each bus holds 48 people, how many buses will be needed?
Answers
Answer:
75 buses needed
Step-by-step explanation:
3,600 people / each bus holds 48 people = 75
You pick 7 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have written the first 7 digits of your phone number? Assume there are no repeats of digits in your phone number. Give your answer as a fraction.
Answers
The probability of writing the first 7 digits of your phone number is 1/604,800.
Given data ,
To determine the probability of writing the first 7 digits of your phone number, we need to consider the total number of possible outcomes and the favorable outcomes.
Total number of possible outcomes:
When picking 7 digits without replacement from the set of 10 digits (0-9), the total number of possible outcomes is given by 10P7 (permutations of 10 objects taken 7 at a time):
10P7 = 10! / (10 - 7)! = 10! / 3! = 10 * 9 * 8 * 7 * 6 * 5 * 4 = 604,800.
Favorable outcomes:
To have written the first 7 digits of your phone number, you need to pick those specific digits in the correct order. Since the phone number has no repeated digits, there is only one specific order that satisfies this condition.
Therefore, the number of favorable outcomes is 1.
Probability:
The probability is given by the ratio of favorable outcomes to total possible outcomes:
Probability = Favorable outcomes / Total possible outcomes
= 1 / 604,800.
Hence, the probability is 1/604,800.
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Find the complete factored form of the
polynomial :
-8m²n-7m² nª
Enter the correct answer.
Answers
The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).
To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:
-8m²n - 7m²n = (-m²n) (8 + 7a)
Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.
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HELP!! MATH!!!!!!! thanksss
Answers
Answer:
24*25/2 = 300
Because the population size may change over time, you also decide to look at rates,which for drug overdose are generally expressed as deaths/100,000 residents.The statepopulation for 2015 was estimated at 11,620,000.Calculate the rate of drug overdosedeaths
Answers
This question is incomplete, the complete question is;
As the junior public health epidemiologist in a large state in the Midwest Rust Belt, you have been asked by your supervisor to assist her in updating the statistics on opioid deaths. She is also asking for your help in writing a brief report describing the current situation for the annual report on drug abuse.
- In 2015, there were 3050 drug-related deaths, of which 2950 involved opioids, What percent of the deaths were due to opioids? Express your answer in the following format: XX.XX% (e.g., 54.81%).
- Because the population size may change over time, you also decide to look at rates, which for drug overdose are generally expressed as deaths/100,000 residents. The state population for 2015 was estimated at 11,620,000.Calculate the rate of drug overdose deaths.
Answer:
the rate of drug overdosedeaths is 27 per 100,000 residents
Step-by-step explanation:
Given that;
3050 drug-related deaths in 2015,
Deaths due to opioids in 2015 is 2950
percentage = (2950 / 3050) × 100 = 96.72%
therefore
percentage of the deaths that were due to opioids in 2015 is 96.72%
-
we know that
State population for 2015 = 11,620,000
Number of drug-related deaths in 2015 = 3050
Death rate is number of deaths recorded divided by the number of population, and then multiplied by 100,000 as in the question
so
Rate of drug overdose = (3050 / 11620000) × 100,000
=26.25 ≈ 27 per 100,000 residents { since of person can't be decimal)
therefore
the rate of drug overdosedeaths is 27 per 100,000 residents
2
Select the correct answer from each drop-down menu.
Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
Reset
The dilation of triangle ABC
Next
Answers
For the transformations of the triangle, we have that:
1. The translation of triangle ABC preserves side lengths and angles.
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,
1. The translation of triangle ABC preserves side lengths and angles.
For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
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The HCF of three numbers is 8 and the sum of these numbers is 80. List the possible set of such three numbers.
Answers
Let's denote the three numbers A, B, and C.
Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.
Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.
Let's list the possible combinations:
(8, 16, 56): In this case, A = 8, B = 16, and C = 56. All three numbers are divisible by 8, and their sum is 8 + 16 + 56 = 80.(16, 8, 56): Here, A = 16, B = 8, and C = 56. Again, all three numbers are divisible by 8, and their sum is 16 + 8 + 56 = 80.(24, 8, 48): In this combination, A = 24, B = 8, and C = 48. All three numbers are divisible by 8, and their sum is 24 + 8 + 48 = 80.(8, 24, 48): Similarly, A = 8, B = 24, and C = 48. All three numbers are divisible by 8, and their sum is 8 + 24 + 48 = 80.These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).
Please help I'll give brainliest
Answers
Which reason is the justification for the statement that angle A ≅ angle B?
A) Vertical angles are congruent.
B) Linear angles are equal.
C) Intersecting lines form opposing angles.
D) Lines intersect at one point.
Answers
Answer:
A) Vertical angles are congruent.
I buy 4 5/8 blue fabric and 2 1/8 green fabric how much blue than green did i buy
Answers
Answer:
2.5
Step-by-step explanation:
We Know
You buy 4 5/8 blue fabric and 2 1/8 green fabric .
4 5/8 = 37/8 = 4.625 blue fabric
2 1/8 = 17/8 = 2.125 green fabric
How much blue than green did you buy?
We Take
4.625 - 2.125 = 2.5
So, you buy 2.5 blue more than green.
Without dividing, choose <, >, or = to make each statement true.
Answers
We can conclude that -
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are the inequality signs as : >, < and =.
An inequality is used to make unequal comparisons between two numbers or expressions.
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.Therefore, we can conclude that -
f(x) < g(x), means that expression f(x) is less than g(x) {for given (x)}.f(x) > g(x), means that expression f(x) is greater than g(x) {for given (x)}.f(x) = g(x), means that expression f(x) is equal to g(x) {for given (x)}.To solve more questions on inequalities, visit the link below -
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An architect is designing a home and needs to create a rectangular bedroom. The bedroom must be 425 ft2 and must be 8 ft longer than it is wide. What are the width and length of the bedroom?
Answers
The width of the bedroom is 17 feet. The length of the bedroom is 17 + 8 = 25 feet.
What is the area of the rectangle?
The area of the rectangle is length x breadth. The diagonals of the rectangle divide it into two equivalent right-angled triangles. Therefore, the area of the rectangle will be equal to the sum of the area of these two triangles.
Let w be the width of the bedroom and l be the length of the bedroom.
The width of the bedroom is 8 feet shorter than the length, so the length is w + 8.
The area of the bedroom is the product of its width and length, or w * (w + 8).
We can set up the equation 425 = w * (w + 8) and solve for w.
First, we can rewrite the equation as 425 = w^2 + 8w.
Then, we can complete the square by adding (8/2)^2 = 16 to both sides:
425 + 16 = w^2 + 8w + 16
441 = w^2 + 8w + 16
We can rewrite the left side of the equation as (w + 4)^2, which gives us:
(w + 4)^2 = 441
Taking the square root of both sides gives us:
w + 4 = 21
Subtracting 4 from both sides gives us:
w = 17
Therefore, the width of the bedroom is 17 feet. The length of the bedroom is 17 + 8 = 25 feet.
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Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 1 mile, and the eastbound car has traveled 4 miles. Measured in a straight line, how far apart are the two cars? If necessary, round to the nearest tenth.
Answers
Answer:
distance between two cars in a straight line = 4.12 miles
Step-by-step explanation:
The North and East make a right angle and if you make a straight line between the two cars you will make a right angled triangle.
Now we can use Pythagoras theorem to calculate the distance between two cars in a straight line.
p = 1
b = 4
h = ?
Using Pythagoras theorem
h² = p² + b²
h² = 1² + 4²
h² = 1 + 16
h² = 17
h = sqroot (17)
h = 4.12 miles
The distance between two cars is 4.12 miles.
Given that, two cars leave the same parking lot, with one heading north and the other heading east.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
The northbound car has traveled 1 mile = x=1 mile
The eastbound car has traveled 4 miles =y=4 mile
Let the distance between two cars be z
Using Pythagoras theorem, we get
z²=x²+y²
⇒ z²=1²+4²
⇒ z²=17
⇒ z=√17
⇒ z=4.12 miles
Therefore, the distance between two cars is 4.12 miles.
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how many times will caidens heart beat in 40 years if his heart rate is 70 beats per minute
Answers
Answer:
Caiden's heart will beat about 2,592,000 times in 40 years if his heart rate is 70 beats per minute.
Step-by-step explanation:
To find this, first multiply the number of minutes in 40 years by the number of beats per minute to find the total number of beats: 40 years * 365 days/year * 24 hours/day * 60 minutes/hour * 70 beats/minute = 2,592,000 beats. This is a rough estimate, since the number of days in a year and the number of hours in a day can vary slightly. However, it gives a good approximation of the number of beats Caiden's heart will make in 40 years.
Given the function f ( x ) = 2 x + 8 , evaluate and simplify the expressions below. See special instructions on how to enter your answers.
Answers
Answer:
\(f(a) = 2a + 8\)
\(f(x + h) = 2x + 2h + 8\)
\(\frac{f(x + h) - f(x)}{h} = 2\)
Step-by-step explanation:
Given
\(f(x) = 2x + 8\)
Required
\(f(a)\)
\(f(x + h)\)
\(\frac{f(x + h) - f(x)}{h}\)
Solving for f(a)
Substitute a for x in the given parameter
\(f(x) = 2x + 8\) becomes
\(f(a) = 2a + 8\)
Solving for f(x+h)
Substitute x + h for x in the given parameter
\(f(x + h) = 2(x + h) + 8\)
Open Bracket
\(f(x + h) = 2x + 2h + 8\)
Solving for \(\frac{f(x + h) - f(x)}{h}\)
Substitute 2x + 2h + 8 for f(x + h), 2x + 8 fof f(x)
\(\frac{f(x + h) - f(x)}{h}\) becomes
\(\frac{2x + 2h + 8 - (2x + 8)}{h}\)
Open Bracket
\(\frac{2x + 2h + 8 - 2x - 8}{h}\)
Collect Like Terms
\(\frac{2x - 2x+ 2h + 8 - 8}{h}\)
Evaluate the numerator
\(\frac{2h}{h}\)
\(2\)
Hence;
\(\frac{f(x + h) - f(x)}{h} = 2\)
How can I calculate this expression?
Answers
Answer:
26 whole 3/40
Step-by-step explanation:
Multiply the denominator with the number in middle and add to top,
13/3+ 17/5+ 46/16
LCM& Changing into lowest terms,
(65+51)/15+23/8
116/5+23/8
(928+115)/40
1043/40
26 whole 3/40
Which decimal is one hundredth greater than 375.754?
Answers
Answer:
375.764
Step-by-step explanation:
First we start by identifying the digit in the hundredths place. This digit in the hundredths place is 5 (the second 5). Now we increase it by 1 which will make it one hundredth greater.
5+1=6
So we get 375.764
Answer the following questions based on the diagram below.
Find the sine and cosine of the values of angles r and s. Leave the answers as fractions.
sin r° =
cos r° =
tan r° =
sin s° =
cos s° =
tan s° =
Answers
Answer:
sin(r) = 15/17
cos(r) = 8/17
tan(r) = 15/8
sin(s) = 8/17
cos(s) = 15/17
tan(s) = 8/17
Step-by-step explanation:
⭐What are trigonometric functions?
the ratios of 2 side lengths in regard to an angle that is not the 90 degrees anglesin(θ) = opposite/hypotenusecos(θ) = adjacent/hypotenusetan(θ) = opposite/adjacentθ = an angle measure that is not the 90 degrees angleTo find out what sin, cos, or tan of each angle is, we need to identify what type of side lengths the given side lengths are (opposite, adjacent, or hypotenuse).
I have labeled it in the picture attached to this response.
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