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3 years ago

11

80 POINTS !!!!!! Will give brainliest.

2 answers:

inysia [295]3 years ago

7 0

Answer:

15/2

Step-by-step explanation:

To find the average rate of change

f(5) - f(1)

-----------------

5-1

f(5) = 2^5 +3 =32+3 = 35

f(1) = 2^1 +3 =2+3 =5

35 - 5

-----------------

5-1

30

------

4

15/2

The average rate of change is 15/2

MariettaO [177]3 years ago

5 0

Answer:

Step-by-step explanation:

f(1)=2^1+3=2+3=5

f(5)=2^5+3=32+3=35

$rate ~of~change=\frac{f(5)-f(1)}{5-1} =\frac{35-5}{5-1} =\frac{30}{4} =7.5$

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Step-by-step explanation:

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3 years ago

This figure shows circle Z with chords AB and RS . mAR=55° mRB=66° AB=8 m RS=8 m What is mRS?

Alina [70]

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4 0

4 years ago

Read 2 more answers

Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

3 0

3 years ago

Read 2 more answers

ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should t

stiks02 [169]

Answer:

5.3 or 28

Step-by-step explanation:

$6^{2}$ + $b^{2}$ = $8^{2}$

36+ $b^{2}$ =64

64-36=28

$\sqrt{28\\}$

=5.29 or 5.3

5 0

3 years ago