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Ne4ueva [31]
3 years ago
8

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.
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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
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