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3 years ago

How would you graph 4x-7y=28 ?

Mathematics

2 answers:

andrezito [222]3 years ago

7 0

Answer:

y = 4/7x - 4

Step-by-step explanation:

You first have to put it in y = mx + b form

So, we first subtract 4x from both sides: -7y = -4x + 28

Divide both sides by -7

y = 4/7x - 4

Now to graph you have to start at the starting point which is -4

So we start with our point on -4 then move up 4 times and 7 times to the left. Mark the points then draw your line!

julsineya [31]3 years ago

4 0

First solve the equation for y

Subtract 4x from both sides of the equation.
-7y=28-4x
Divide each term by -7and simplify.
y=-4+4x/7

Then graph the line using the slope and y-intercept

Slope: 4/7

Y-intercept: -4

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Step-by-step explanation:

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2 years ago

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Mrrafil [7]

Answer:

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

Part 2

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

Step-by-step explanation:

Data given and notation

$\bar X=114$ represent the sample mean

$\sigma=22$ represent the population standard deviation

$n=36$ sample size

$\mu_o =120$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

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State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

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$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

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Part 2

Calculate the statistic

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$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

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2 years ago

The area of a rectangular horse pasture is 268,500 square yards. The length of the pasture is 5 yards less than three times the

Setler79 [48]

Answer: width = 300

<u>Step-by-step explanation:</u>

Area (A) = Length (L) x width (w)

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Since width cannot be negative, disregard w = -985/3

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