All categories

3 years ago

Which is the best estimate for the average rate of change for the quadratic function graph on the interval -8

Mathematics

2 answers:

o-na [289]3 years ago

6 0

Answer:

Actually I just took the test on usatestprep and got it wrong

the answer is D) 2

Tom [10]3 years ago

5 0

X1= - 8, y1= -12
x2=-4, y2≈1

Average rate of change=(y2-y1)/(x2-x1)= (1+12)/(-4-(-8))=13/12≈1

Answer C) 1.

You might be interested in

3^x.2x = 3^x + 2x-1

sattari [20]

Answer:

x=0

Step-by-step explanation:

answer x=0

3 0

2 years ago

You have a wire that is 20 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o

Aleksandr [31]

Answer:

Therefore the circumference of the circle is $=\frac{20\pi}{4+\pi}$

Step-by-step explanation:

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

$\Rightarrow s=\frac{10-\pi r}{2}$

The area of the circle is = πr²

The area of the square is = s²

A represent the total area of the square and circle.

A=πr²+s²

Putting the value of s

$A=\pi r^2+ (\frac{10-\pi r}{2})^2$

$\Rightarrow A= \pi r^2+(\frac{10}{2})^2-2.\frac{10}{2}.\frac{\pi r}{2}+ (\frac{\pi r}{2})^2$

$\Rightarrow A=\pi r^2 +25-5 \pi r +\frac{\pi^2r^2}{4}$

$\Rightarrow A=\pi r^2\frac{4+\pi}{4} -5\pi r +25$

For maximum or minimum $\frac{dA}{dr}=0$

Differentiating with respect to r

$\frac{dA}{dr}= \frac{2\pi r(4+\pi)}{4} -5\pi$

Again differentiating with respect to r

$\frac{d^2A}{dr^2}=\frac{2\pi (4+\pi)}{4}$ > 0

For maximum or minimum

$\frac{dA}{dr}=0$

$\Rightarrow \frac{2\pi r(4+\pi)}{4} -5\pi=0$

$\Rightarrow r = \frac{10\pi }{\pi(4+\pi)}$

$\Rightarrow r=\frac{10}{4+\pi}$

$\frac{d^2A}{dr^2}|_{ r=\frac{10}{4+\pi}}=\frac{2\pi (4+\pi)}{4}>0$

Therefore at $r=\frac{10}{4+\pi}$ , A is minimum.

Therefore the circumference of the circle is

$=2 \pi \frac{10}{4+\pi}$

$=\frac{20\pi}{4+\pi}$

4 0

2 years ago

Here is a number line<br> Please answer will give brainliest

andreev551 [17]

Answer:

-3<n<=5

Step-by-step explanation:

This is because the coloured circle on the number line means that the number is less than or equal to 5

4 0

3 years ago

Karissa earns $200 per week plus $25 per item she sells. Which

Nimfa-mama [501]

Answer:

Step-by-step explanation:

p=200+25(n)

8 0

2 years ago

What is the value of x if 3x-6=21

ratelena [41]

x would equal to 9 due to the fact that u do 21+6 and then u do 27÷3

6 0

3 years ago

Read 2 more answers