What is 2x-3y=5<br> x+2y=-1

What is the average rate of change of f over the interval -1 on a separate sheet of paper and upload the work as a photo. Show a

Anarel [89]

Answer:

Average rate of change for the function $f(x)= x^2-x-1$ over the interval -1<x<1 is -1

Step-by-step explanation:

We need to find average rate of change of f over the interval -1 < x < 1

The function given is: $f(x)= x^2-x-1$

The formula used to find average rate of change is:

$Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}$

We have, a = -1 and b = 1

Finding f(b) when b=1

$f(x)=x^2-x-1\\f(1)=(1)^2-(1)-1\\f(1)=1-1-1\\f(1)=-1$

Now, finding f(a), when a= -1

$f(x)=x^2-x-1\\f(-1)=(-1)^2-(-1)-1\\f(1)=1+1-1\\f(-1)=2-1\\f(-1)=1$

Now, putting values and finding average rate of change

$Average\:rate\:of\:change=\frac{f(b)-f(a)}{b-a}\\Average\:rate\:of\:change=\frac{f(1)-f(-1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-(1)}{1-(-1)}\\Average\:rate\:of\:change=\frac{-1-1}{1+1}\\Average\:rate\:of\:change=\frac{-2}{2}\\Average\:rate\:of\:change=-1$

So, average rate of change for the function $f(x)= x^2-x-1$ over the interval -1<x<1 is -1

4 0

3 years ago

What is the value of (-3+3i)+(-2+3i)

Yanka [14]

Answer: i=<u> 5 </u>

6

Step-by-step explanation:

(-3+3i)+(-2+3i)

-3+3i-2+3i=0

3i+3i=3+2

6i=5

i=<u> 5 </u>

6

3 0

3 years ago

In 2009 a survey of Internet usage found that 79 percent of adults age 18 years and older in the United States use the Internet.

Alex777 [14]

Answer:

$0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}$

Option d.

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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

79 percent of adults age 18 years and older in the United States use the Internet.

This means that $\pi = 0.79$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.33$ .

Which of the following should be used to find the sample size (n) needed?

We have to find n for which $M = 0.025$

So the equation is:

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

$0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}$

Option d.

4 0

3 years ago

Given that p+q=97 and q-p=-27, find the values of p and q.

Ber [7]

Answer:

p=62 q= 35

Step-by-step explanation:

$solving \: the \: equation \: simultaneously \\ q + p = 97 - - - - (1) \\ q - p = - 27 - - - - - (2) \\ subtracting \: equation \: (2)from \: one(1) \\ q - q = 0 \\ p + p = 97 - - 27 \\ 2p = 97 + 27 \\ 2p = 124 \\ dividing \: bothsides \: by \: 2 \\ \frac{2p}{p} = \frac{124}{2} \\ p = 62 \\ put \: p \: = 62 \: into \: equation \: (1) \\ q + 62 = 97 \\ q = 97 - 62 \\ q = 35 \\ therefore \: p = 62 \: \: and \: q = 35 \\$

<h2>hope this helps</h2>

<h2>please rate and mark brainliest</h2>

8 0

2 years ago

A circle has a diameter of 16 yd. What is the radius of the same circle?

netineya [11]

Answer:

8yd

Step-by-step explanation:

the diameter is the whole distance going from one end to another through the center of the circle, so if the whole distance is 16 then you can divide 16 by 2 because the radius is only half of the distance.

8 + 8 = 16yd.

8 0

3 years ago

What is 2x-3y=5 x+2y=-1