Solving systems by elimination <br>3x-4y=7 <br>2x+4y=8

Which of the following could be the equation of the graph shown below? check all that apply

AleksandrR [38]

Answer:

Only Choices A and C are correct.

Step-by-step explanation:

The graph has negative slope and its y-intercept is a positive value, and the equations we are looking for should have these two properties.

Let us look at the choices one by one.

Choice A: $3x+2y=6.$

We solve for y and get:

$y=-\frac{3}{2}x+3$

This has negative slope and positive y-intercept, therefore this choice is true.

Choice B: $y=5.$

This is a horizontal line, therefore this choice cannot be correct.

Choice C: $y=-4x+2.$

This has negative slope and positive y-intercept, therefore this choice is true.

Choice D: $2x-y=7.$

Solve for y and get:

$y=2x-7.$

This has positive slope and negative y-intercept, which are not the characteristics of our graph. Therefore this choice is not correct.

Thus only choices A and C apply.

6 0

3 years ago

Please answer all . And give working for your answer

DochEvi [55]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 1 a) 360 - (72 + 168) = 120 degrees

b) (72/360) x 100 = 20%

c) 360 / 30 = 12

168 / 12 = 14

14 days were sunny

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0

4 years ago

Read 2 more answers

Is 6 feet more or less than 72 inches.

sertanlavr [38]

6 feet is 72 inches.

4 0

4 years ago

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In the Fuel Economy Guide for 2018 model vehicles, the Environmental Protection Agency gives data on 1160 vehicles. There are a

Natasha2012 [34]

Answer:

a) The probability is the p-value of $Z = \frac{X - 22.6}{5.2}$ , in which X is the gas mileage of the 2020 Honda Civic.

b) Your dad's truck is 1.65 standard deviations below the mean.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normal with mean 22.6 miles per gallon (mpg) and standard deviation 5.2 mpg.

This means that $\mu = 22.6, \sigma = 5.2$

a. What proportion of vehicles have worse gas mileage than the 2020 Honda Civic?

This is the p-value of Z, given by:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{X - 22.6}{5.2}$

In which X is the gas mileage of the 2020 Honda Civic.

b. My dad has a truck that gets around 14 mpg. How many standard deviations from the mean is my dad's truck?

This is Z when X = 14. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{14 - 22.6}{5.2}$

$Z = -1.65$

Your dad's truck is 1.65 standard deviations below the mean.

4 0

3 years ago

Expand and simplify 2(x+7) + 3(x + 1)

allochka39001 [22]

Answer: 10

Step-by-step explanation Simplifying

2x + 7 = 3(x + -1)

Reorder the terms:

7 + 2x = 3(x + -1)

Reorder the terms:

7 + 2x = 3(-1 + x)

7 + 2x = (-1 * 3 + x * 3)

7 + 2x = (-3 + 3x)

Solving

7 + 2x = -3 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

7 + 2x + -3x = -3 + 3x + -3x

Combine like terms: 2x + -3x = -1x

7 + -1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0

7 + -1x = -3 + 0

7 + -1x = -3

Add '-7' to each side of the equation.

7 + -7 + -1x = -3 + -7

Combine like terms: 7 + -7 = 0

0 + -1x = -3 + -7

-1x = -3 + -7

Combine like terms: -3 + -7 = -10

-1x = -10

Divide each side by '-1'.

x = 10

Simplifying

x = 10

5 0

3 years ago

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Solving systems by elimination 3x-4y=7 2x+4y=8​

Solving systems by elimination 3x-4y=7 2x+4y=8