"Rewrite the expression using one exponent," is what the question asks above.

Sketch the graphs of the line system on a corporate:{2x-y=1} {y=5x-5}

Papessa [141]

I don’t know what some of that means but I can do the start for you? You rearrange
2x-y=1.

To do this, you +y to both sides, giving you 2x=1+y and then you minus 1, giving you 2x-1=y

Which can be rewritten the other way round to make it slightly easier

y=2x-1

You also have y=5x-5

These are both straight line equations and are now in the form y=mx+c

To sketch these graphs I would do two tables.

X -3 -2 -1 0 1 2 3
Y

For this, you now substitute each of the values for X into one of the equations you have. This is 2x-y=1 (2x-1=y)

X -3 -2 -1 0 1 2 3
Y -7 -5 -3 -1 1 3 5

You may have noticed a pattern there, the y values increased by two each time. This makes it linear. You would plot that line, onto an axis, using the coordinates you now have.
So, (-3, -7), (-2,-5), (-1,-3), (0,-1), (1,1), (2,3), (3,5)

Then I would do the same for the second equation, and plot that too.

X -3 -2 -1 0 1 2 3
Y -20 -15 -10 -5 0 5 10

You may have spotted this time the values increased by 5.

Then again plot this line using the coordinates shown.

I honestly have no idea what it means by “the line system on a corporate” but if that means on an axis then there’s your answer. If not then I do not know.

Hope this helps?

8 0

3 years ago

A church group is interested in estimating the true proportion of Americans who attend weekly religious services. How large a sa

artcher [175]

Answer:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can use an estimatior for the population proportion as $\hat p=0.5$ since we don't know previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since the confidence level is 99%, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We can use an estimatior for the population proportion as $\hat p=0.5$ since we don't know previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

8 0

3 years ago

It is greater than 37493 it is less than 37503 it is an even number the value of the mystery number rounded to the nearest ten i

dalvyx [7]

The mystery number is 37502

6 0

3 years ago

A system of two equations is shown below. What will you need to multiply the

Inessa [10]

In order to solve this equation you must eliminate one of the variables.

By multiplying by -3 you eliminate the y variable, making A the correct answer.
-6x-3y=-66
5x+3y=29
-x=-37
x=37

If you would like further explanation let me know. :)

6 0

4 years ago

Please help and show your work so I can understand thank cu

Iteru [2.4K]

Okay what you wanna do it multiple 4.2 and 3.9. if it says "by" it means multiple

6 0

3 years ago