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3 years ago

Which graph shows the solution to the following system? y= 1/4x - 2

1 answer:

iogann1982 [59]3 years ago

4 0

Y = 1/4 x - 2

=> a linear function => a straigh line

=> slope = the coefficient of x => slope = 1/4

=> x = 0 => the y-intercept = -2

=> y = 0 => 0 = 1/4 x - 2 =>x = 8 => point (8,0)

With all that information you can identify the graph because it is a straight line that passes through (0,-2) and (8,0), its inclination (slope) is 1/4, and the graph goes through the quadrants I, III and IV (there are no points in the quadrant II)..

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4 years ago

8x - 6y = 2<br> x-6y = - 26

Elodia [21]

Honestly idk this question I just need to do this to ask questions :(

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3 years ago

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The sum of two numbers is 48.<br>the second number is seven times the first number

dusya [7]

Answer:

$\huge\boxed{\sf x =6,\ y = 42}$

Step-by-step explanation:

Let the numbers be x and y

<h3>Given condition:</h3>

x + y = 48 --------(1)

y = 7x -------------(2)

Put Eq. (2) in (1)

x + 7x = 48

8x = 48

Divide 8 to both sides

x = 48/8

Put x = 6 in Eq. (2)

y = 7 (6)

$\rule[225]{225}{2}$

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2 years ago

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3. university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standa

gregori [183]

Answer:

A sample of 17 must be selected.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.96}{2} = 0.02$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.02 = 0.98$ , so Z = 2.054.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation from a previous study is 4 hours.

This means that $\sigma = 4$

How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?

A sample of n is required.

n is found for M = 2. So

$M = z\frac{\sigma}{\sqrt{n}}$

$2 = 2.054\frac{4}{\sqrt{n}}$

$2\sqrt{n} = 2.054*4$

Simplifying both sides by 2:

$\sqrt{n} = 2.054*2$

$(\sqrt{n})^2 = (2.054*2)^2$

$n = 16.88$

Rounding up:

A sample of 17 must be selected.

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3 years ago

A team fixed a road that was 4,800 m long. After working for 30 days, there was still 1,440 m of the road left to fix. On averag

arlik [135]

The total of the road is 4800 m long. 4800-1440=3360m
We subtract what they have yet to cover from the total to get what they have covered.
So in 30 days they covered 3360 metres.
3660/30 (3660 is divided into 30 equal groups) = 122m
On average they covered 122 metres per day.

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3 years ago