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1 year ago

Help!!! cant find answers

Mathematics

1 answer:

rusak2 [61]1 year ago

6 0

As the intervals moves from left to right on the graph, the average rate of change increases

<h3>How to determine the change in the rate of change?</h3>

The function is an exponential growth function.

This is known because it has an initial value at (0, 2), and the value increases to the right

The average rate of change of exponential growth functions increases towards the right.

This means that:

The initial statement is "as the intervals moves from left to right on the graph, the average rate of change increases

Because the average rate of change keeps changing, the final statement is:

Since the average rate of change is also changing, the function is changing and approaches infinity

Read more about exponential growth function at

brainly.com/question/11487261

#SPJ1

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Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95

Virty [35]

Answer:

$L(x)=1+\dfrac{1}{3}x$

$\sqrt[3]{0.95} \approx 0.9833$

$\sqrt[3]{1.1} \approx 1.0333$

Step-by-step explanation:

Given the function: $g(x)=\sqrt[3]{1+x}$

We are to determine the linear approximation of the function g(x) at a = 0.

Linear Approximating Polynomial, $L(x)=f(a)+f'(a)(x-a)$

a=0

$g(0)=\sqrt[3]{1+0}=1$

$g'(x)=\frac{1}{3}(1+x)^{-2/3} \\g'(0)=\frac{1}{3}(1+0)^{-2/3}=\frac{1}{3}$

Therefore:

$L(x)=1+\frac{1}{3}(x-0)\\\\$The linear approximating polynomial of g(x) is:$\\\\L(x)=1+\dfrac{1}{3}x$

(b) $\sqrt[3]{0.95}= \sqrt[3]{1-0.05}$

When x = - 0.05

$L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833$

$\sqrt[3]{0.95} \approx 0.9833$

(c)

(b) $\sqrt[3]{1.1}= \sqrt[3]{1+0.1}$

When x = 0.1

$L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333$

$\sqrt[3]{1.1} \approx 1.0333$

7 0

3 years ago

2x+8y = 6<br> 15x + 20y = 15

Likurg_2 [28]

Answer:

The solution is (0, 3/4)

Step-by-step explanation:

Please copy and share the instructions. Here they are: Solve the following system of linear equations.

Both of the equations can be reduced (simplified):

2x+8y = 6 => x + 4y = 3

15x + 20y = 15 => 3x + 4y = 3

Let's use the elimination by addition and subtraction method. Multiply the first equation by -1, obtaining

-x - 4y = -3

Add the second 3x + 4y = 3

equation to the

first.

We get: 2x = 0.

Thus, x = 0. Substituting 0 for x in the 1st original equation yields:

2(0) + 8y = 6. Then y = 6/8, or y = 3/4.

The solution is (0, 3/4).

4 0

3 years ago

Solve the equations and match them with their solutions.

Artyom0805 [142]

1 is x=13.5

2 is x=-260

3 is x=38

4 is x=-37^38

i think this is correct

7 0

3 years ago

What is the GCF of 96x5 and 64x2?

Lady_Fox [76]

Answer:

Step-by-step explanation:

32 is the GCF of the whole numbers and up to x2 can go into both

The answer should be 32x2

Hope this helps

4 0

2 years ago

Read 2 more answers

Is the dilation from A to B a reduction or enlargement?

WITCHER [35]

Answer:

This is actually a reduction, and the scale factor of this dilation is 0.5.

8 0

2 years ago

Read 2 more answers

Help!!! cant find answers​

Help!!! cant find answers