Answer:
y = -2x + 1
Step-by-step explanation:
So, first you can use rise over run between the two points to find the slope.
This will get you -6/3, which you can simplify to -2
Then, see where the y intercept is, which is at (0, 1)
The equation will be y = -2x + 1
Answer:
y = -2x + 1
Step-by-step explanation:
(-3 - 3) / (-2 +1) = a slope of -2
The y-intercept is 1 because that's where the line crosses the y-axis.
y = -2x + 1
If x = 8 units and h = 4 units, then what is the area of the triangle shown above?
A.
48 square units
B.
32 square units
C.
8 square units
D.
16 square units
Answer:
D-16 square units
Step-by-step explanation:
Area of a triangle- 1/2 x h x base
8 x4= 32
32/2= 16
Answer:
LETTER B 32 SQUARE UNITS
Step-by-step explanation:
I THINK ITS HELP KEEP SAFE
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
can someone help me with this question?
Answer:
what question
Step-by-step explanation:
Let F(x)=-7x-12 and g(x)=13-3x. What is f-g?
Answer:
\( (f - g)x = -4x - 25 \)
Step-by-step explanation:
Given:
\( f(x) = -7x - 12 \)
\( g(x) = 13 - 3x \)
Required:
\( (f - g)x \)
SOLUTION:
\( (f - g)x = f(x) - g(x) \)
\( f(x) - g(x) = (-7x - 12) - (13 - 3x) \)
\( = -7x - 12 - 13 + 3x \)
Collect like terms
\( = -7x + 3x - 12 - 13 \)
\( (f - g)x = -4x - 25 \)
Declan says that for any number n, the product 4xn is greater than 4. Which vaule of n shows why Declan is incorrect
Answer:
n>1
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
Divide through by 4
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
3) Al hacerle un inventario el Sr. Manuel a su negocio que inició con un capital de 800.000,00 Bs, y su precio de venta al público el 60% sobre el costo de los productos, éste arrojó un monto de 385.000,00 Bs. Tomándose en cuenta que en gastos fueron 74.680,00 Bs, en pagos varios 247.000,00 Bs y en cuentas por pagar 185.460,00 Bs. ¿Diga, si el saldo del negocio es positivo (Ganancia) o es negativo (Pérdida)?
The end balance is negative, so Mr. Manuel lost money.
Is there a profit or a loss?We know that Mr. Manuel spended $800,000 in a product, and it can be sold with an extra 60% over the cost. Then the revenue here is:
$800,000*(1.6) = $1,280,000
We also know that there are costs of $75,680, $247.000 and $185.460.
Now we know that profit is defined as the difference between the revenue and the costs, so to get the profit we need to solve the equation below:
P = $1,280,000 - $800,000 - $75,680 - $247.000 - $185.460
P = -$28,140
So we can see that Mr. Manuel had a loss at the end.
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Briana bought 5 bananas for $1. Sal 5 bananas at $.49 a pound. If a banana weighs about 5 ounces, who got the better buy
1 pound = 16 ounces.
sal
Bought 5 at 5 ounces each for a total
Weight of 25 ounces which is 1.4625 pounds
He paid 0.49 per pound:
1.5625 x 0.49 = 0.765 total round to $0.77
Sal spent $0.77 on the 5 bananas which is less than what Brianna spent so Sal for the better buy
Find the sum of the interior angle measures of the polygon
Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify from the first step to the second step. B+7=15. B=8
Answer:
Subtration property of Equality
Step-by-step explanation:
B + 7 = 15
- 7 - 7
B = 8
The equation B + 7 = 15 becomes B = 8 by subtraction property of equality thus option (C) is correct.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use b.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given equation,
B + 7 = 15
Subtract 7 on both sides,
B + 7 - 7 = 15 - 7
B = 8
Hence "The equation B + 7 = 15 becomes B = 8 by subtraction property of equality".
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Devon earns a base salary of $600.00 per month, plus a 4% commission on his sales. Last month he brought in $15,000.00 in sales. Write an expression to represent his total compensation and calculate how much his total compensation was.
.4(600+s); $6,240
600+.04s; $1200
.04(600+s); $624
600+.4s; $6,600
Answer:
Total compensation = 600 + 0.04 * s and a total last month of $1200
(which agrees with the second answer shown in the provided list)
Step-by-step explanation:
Total compensation comes from the addition of base salary ($600) plus 4% (0.04) of the sales (s). That means:
Total compensation = 600 + 0.04 * s
and since last month he brought $15000 in sales, he got from sales:
0.04 * 15000 = $600
which added to the base salary gives:
$600 + $600 = $1200
Find the volume of the figure shown below.
A)42 1/2 units^3
B)11 1/4 units^3
C)14 1/4 units^3
D)80 1/4 units^3
E)None of these answers are correct
Answer:
A. 42½ units
Step-by-step explanation:
the volume = 5×2×4¼ = 10×4¼ = 42½
Write the expression for the following statement without
any spaces:
the sum of 64y and 3, cubed can be expressed as
The expression of the statement that is given above can be written as follows: 262144y³ + 27.
How to determine a way to express the given statement?To determine how to express the given statement the following should be carried out.
When a number is said to be cubed, it means that the number should be times by itself three consecutive times.
That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,
= 64×64×64(y)³ + 3×3×3
= 262144y³ + 27.
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solve simultaneous equation by substitution method
y-4x=6
2y-3x=4
Answer:
Step-by-step explanation:
y-4x=6
y=6+4x, using this value in 2y-3x=4 gives
2(6+4x)-3x=4
12+8x-3x=4
5x+12=4
5x=-8
x= -8/5= -1.6, making y=6+4x become
y=6+4(-1.6)
y= -0.4, so the solution is the point
(-1.6, -0.4)
Question on graphs , quite easy i think :')
1) Note that the grid needs to be 8 squares wide to accommodate the data.
2) a scale of 0.2 km per square on the vertical axis would provide a clear representation of the data while utilizing the available space effectively.
What is the explanation for this ?1) To find the width of the grid, we need to find the total number of data points on the x- axis.
Here , the time since the start is given at intervals of 5 minutes. From 0 - 35 minutes, there are a total of 8 data points.
Thus, we are right to state that the grid needs to be 8 squares wide to accommodate the data.
2)
We must decide the optimal scale for visualizing data on the vertical axis because the grid is 20 squares tall. Looking at the distance from the starting point, we can see that the figures range from 0 to 1.9 kilometers.
To make the best use of the grid area, we may select an appropriate scale that includes the data range.
In this scenario, a vertical scale of 0.2 km per square would offer a clear depiction of the data while properly utilizing the available space.
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I WILL GIVE BRAINLIEST solve the question below
Answer:
\(J' = (-2,-4)\)
Step-by-step explanation:
Given
The attached figure
\(J = (-3,-6)\)
\(D_{o,\frac{2}{3}}(x,y)\)
Required: Determine J'
The given transformation: \(D_{o,\frac{2}{3}}(x,y)\) means that the quadrilateral is dilated by a scale factor or 2/3.
So, J' is calculated as:
\(J' = \frac{2}{3} * J\)
\(J' = \frac{2}{3} * (-3,-6)\)
\(J' = (\frac{2}{3} * -3,\frac{2}{3} * -6)\)
\(J' = (2*-1,2*-2)\)
\(J' = (-2,-4)\)
Hence, J' = (-2,-4)
Strawberries cost $3.00 per pound. How many punds of strawberries can you buy for $1.00
Answer:
1/3 or .75 pounds of strawberries
Answer:
No pounds
Step-by-step explanation:
you need three (3.00) dollars to get a pound and you only have one (1.00)
Need help will give brainliest and 5 stars! :)
The logarithmic function can be written exponentially as follows.\(t = 8^y.\)
What is logarithmic function?Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.
The given logarithmic expression is \(log_{8}(t) = y.\)
We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.
Thus, \(log_{8}(t) = y\)
\(t = 8^y\)
Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)
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what is 50 divided by 6. explain
Answer:
8.333333333 repeating
Step-by-step explanation:
do the equation for 50/6 and you will get 8.3333 repeating
The quotient is 50 ÷ 6 = 8 1/3, which represents 50 divided by 6 equals 8 remainders 3 or written as a mixed number, 8 1/3.
To calculate 50 divided by 6, we perform a division operation to determine how many times 6 can be evenly divided into 50.
When dividing, we start with the largest possible quotient, which is 8 in this case (as 8 * 6 = 48).
We subtract 48 from 50, resulting in a remainder of 2. Since the remainder is not zero, we need to continue the division.
Now, we bring down the next digit, which is 0, making the dividend 20. We divide 20 by 6, which gives us a quotient of 3 with no remainder.
Therefore, 50 divided by 6 equals 8 remainders 3, or written as a mixed number, 8 1/3.
The quotient represents the number of times 6 can be evenly divided into 50, and the remainder represents the amount left over.
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62a3b9c6÷−31a3b3c4 what is the answer
Answer:
Step-by-step explanation:
-2b(exponent 6)c(exponent 2)
Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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the stock market lost 7,695 points in a 17-month period. what was the change in the stock market per month?
The stock market lost 7,695 points in a 17-month period. the change in the stock market per month was 452.64 points.
Given details according to this question are as follows :
The stock market lost 7,695 points in a 17-month period
What is average?a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
What is a stock market?The stock market is where investors buy and sell shares of companies. It's a set of exchanges where companies issue shares and other securities for trading. It also includes over-the-counter (OTC) marketplaces where investors trade securities directly with each other (rather than through an exchange)
Time = 17 month
the average of 17 months of time = 7695 / 17
= 452.64 points per month
The average point loss in each month is equal to 452.64 points.
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Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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What is equivalence scale?
Answer:
A household equivalence scale allows for transforming the income in an n-member household into an equivalent one-adult-member household.
Evaluate your expression to find the number of scoops Zack needs. I WILL MAKE BRAINLIEST IF RIGHT!!!!!!!!!!!!
Answer:
2 1/2 beacuse he needs 1 1/4 for one feeder
Step-by-step explanation:
a. Motor oil - 2.5 Quarts for $1.84 Cents/quartb. Cereal-15 ounces for $3.15 cents/ouncec. Canned Fruit-13 ounce for 98 cents Cents/ounced. Facial tissue-300 tissues for $2.60 cents/100 tissues Calculate the unit price of each of the following items: (Enter your answers In cents rounded to 2 decimal places.)
the unit prices of each item are a. Motor oil - 73.6 cents/quart b. Cereal-21 cents/ounce c. Canned Fruit-7.54 cents/ounce d. Facial tissue-0.87 cents/100 tissues
To calculate the unit price of each item, we need to divide the total price by the quantity of the item and then multiply by 100 to get the answer in cents. Here are the steps for each item:
a. Motor oil - 2.5 Quarts for $1.84
Unit price = (total price / quantity) x 100 Unit price = (1.84 / 2.5) x 100 Unit price = 0.736 x 100 Unit price = 73.6 cents/quart
b. Cereal-15 ounces for $3.15
Unit price = (total price / quantity) x 100 Unit price = (3.15 / 15) x 100 Unit price = 0.21 x 100 Unit price = 21 cents/ounce
c. Canned Fruit-13 ounces for 98 cents
Unit price = (total price / quantity) x 100 Unit price = (0.98 / 13) x 100 Unit price = 0.07538 x 100 Unit price = 7.54 cents/ounce
d. Facial tissue-300 tissues for $2.60
Unit price = (total price / quantity) x 100 Unit price = (2.60 / 300) x 100 Unit price = 0.00867 x 100 Unit price = 0.87 cents/100 tissues
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The costs (in dollars) of 10 college math textbooks are listed below. ( 16 pts)) 70 72 71 70 69 73 69 68 70 71 a) Find the median. b) Find the sample mean. ( 4pts) c) Find the sample variance and standard deviation. Create the table. (
Given the costs of 10 college math textbooks, we can calculate that:
a. The median is 70
b. The mean is 70.3
c. The variance is 2.01 and the standard deviation is 1.42
Median, mean, variance, and standard deviation
Median, mean, variance, and standard deviation are very basic but very important concepts of statistics.
Median is the middle value of the data that has been arranged sequentially from the smallest to the largest.
The median for the number of data (n) is odd:
\(M_{e} = x_{(\frac{n+1}{2} )}\)
The median for the number of data (n) is even:
\(M_{e} = \frac{1}{2} (x_{(\frac{n}{2})} + x_{(\frac{n}{2} +1)} )\)
Mean is the average of all data in a sample group, which is obtained by adding up all the data values, then dividing by the number of samples.
\(Mean = \frac{Sum of all data}{size of data (n)}\)
Variance is a value that describes the variation of data, by measuring how far each piece of data is spread from the average of a data set.
\(Variance = \frac{sum (x_{i} - mean)^{2}}{n}\)
Standard Deviation is a measure of the spread of observations in a data set relative to their mean. it measures how many observations in a data set differ from the mean and is the square root of the variance.
σ = \(\sqrt{variance}\)
To do the problem, we first create a table for the given data.
Then we calculate the median as follows:
\(M_{e} = \frac{1}{2} (x_{(\frac{n}{2})} + x_{(\frac{n}{2} +1)} )\\= \frac{1}{2} (x_{5} + x_{6} )\\\)
= 1/2 (70 + 70)
= 70
After that, we calculate the mean as follows:
\(Mean = \frac{Sum of all data}{size of data (n)}\)
= (70 + 72 + 71 + 70 + 69 + 73 + 69 + 68 + 70 + 71) / 10
= 703 / 10
= 70.3
Now we calculate the difference between the data and the mean and put it into the table, and find the sum.
Then we can calculate the variance as follows:
\(Variance = \frac{sum (x_{i} - mean)^{2}}{n}\)
= 20.1 / 10
= 2.01
Standard deviation can be calculated from the variance:
σ = \(\sqrt{variance}\)
= \(\sqrt{2.01}\)
= 1.42
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Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x
Answer:
D
Step-by-step explanation:
(3x³ - 10x² + 13x) - (5x³ + 4x² - 9x)
3x³ - 10x² + 13x - 5x³ - 4x² + 9x Change all terms after the subtraction sign to
the opposite sign (definition of Subtraction)
(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x) Group like terms together
-2x³ - 14x² + 22x
model the unknown number problem by writing an algebraic expression. Then complete the statements
juan doubled his workout time
Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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