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3 years ago

Find the average rate of change for the given function from x = -3 to x = 1.

Mathematics

1 answer:

Alika [10]3 years ago

3 0

Average rate of change from x = -3 to x = 1 is (f(1) - f(-3))/(1 - (-3)) = (5 - (-3))/(1 + 3) = (5 + 3)/4 = 8/4 = 2

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Help me really quick!!!

aleksandrvk [35]

The answer is 26. I'm assuming you don't need work.

3 0

3 years ago

Yis inversely proportional to the square of x.

PtichkaEL [24]

Answer:

(a) $y = \frac{4}{x^2}$

(b) $x = \frac{2}{5}$

Step-by-step explanation:

Given

Variation: Inverse proportional.

This is represented as:

$y\ \alpha\ \frac{1}{x^2}$

See attachment for table

Solving (a):

First convert variation to equation

$y = k\frac{1}{x^2}$

From the table:

$(x,y) = (1,4)$

So, we have:

$4 = k * \frac{1}{1^2}$

$4 = k * \frac{1}{1}$

$4 = k * 1$

$4 = k$

$k = 4$

Substitute 4 for k in $y = k\frac{1}{x^2}$

$y = 4 * \frac{1}{x^2}$

$y = \frac{4}{x^2}$

Solving (b): x when y = 25.

Substitute 25 for y in $y = \frac{4}{x^2}$

$25 = \frac{4}{x^2}$

Cross Multiply

$25 * x^2 = 4$

Divide through by 25

$x^2 = \frac{4}{25}$

Take positive square roots of both sides

$x = \sqrt{\frac{4}{25}$

$x = \frac{2}{5}$

4 0

3 years ago

Mia spent $11.48 on ingredients to bake and sell cookies she will sell each cookie for $0.70 she hopes to make at least $15.00 o

natali 33 [55]

50 cash all together man

6 0

3 years ago

Read 2 more answers

In a geometric sequence, the first term is 8 and the sum of the first six terms is 74 648. Determine the third term of the seque

KATRIN_1 [288]

A1=8
common ratio=r
sum of 6 terms
S=a1+a2+a3+...+a6
=a1(1+r+r^2+...+r^5)
=a1(r^6-1)/(r-1)
but we're given S=74648
=>
8(r^6-1)/(r-1)=74648
Cross multiply and solve for r (by trial and error)
r^6-1=9331(r-1)
r=6
so
a(3)=a1*r^(3-1)
=8*(6^2)
=288

8 0

4 years ago

7. Beyunka has six baseballs that she keeps at her grandparents' house. That

Sergeu [11.5K]

The answer I believe is 30

6 0

3 years ago