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3 years ago

5

A shape is covered by 40 unit squares. What is the area of the shape

1 answer:

ollegr [7]3 years ago

6 0

Hello!

I believe that the answer would be 40²

I hope this helps!

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If the zeros of a quadratic function, F, are -2 and 4, what is the equation of the axis of symmetry of F

vagabundo [1.1K]

Answer:

x=1

Step-by-step explanation:

if the zeroes are (-2,0) and (4,0), then the axis of symetry is going to be right in the middle of those two, with the graph reflected equally on either side.

so you get:

(4-2)÷2=1

therefore the equation of the axis of symetry is x=1

3 0

2 years ago

In simplified exponential notation, the expression x ³ · x -4 · x =

Ivan

X^3 * x^2 - 4 is your answer. Hope this helps!

3 0

3 years ago

A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confid

katrin [286]

Answer:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 865, \pi = \frac{408}{865} = 0.4717$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 - 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.4384$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4717 + 1.96\sqrt{\frac{0.4717*0.5283}{865}} = 0.5050$

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).

6 0

3 years ago

Which steps transform the graph of

vitfil [10]

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of $y = x ^ 2$ into $y = -2(x - 2) ^ 2 + 2$ the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let $y = f (x-2)$ then $y =(x-2) ^ 2$ Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do $y = -f(x)$ Then $f (x) = -(x-2) ^ 2$

3) Stretch according to factor 2.

For this we do $y = 2f(x)$

Then we have $f(x) = -2 (x-2) ^ 2$

4) Move up the graph in two units:

We do $y = f(x) +2$

Then $y = -2(x-2) ^ 2 +2.$

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

4 0

3 years ago

How do you graph a linear function to a line graph

anygoal [31]

Answer:

use point slope form

y=mx+b

8 0

3 years ago