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Mathematics

1 answer:

NISA [10]3 years ago

8 0

Answer:

Step-by-step explanation:

First, we are decreasing the number so it has to be a decrease.

Next, we divide 7/31 and get around 0.23, which also represents 23 percent.

This only shows that 7 is 23 percent of 31, so we need to find the decrease by seeing the difference of 100 and 23.

We get 100 - 23 = 77, and because it is a decrease we get B.

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M^3+9m Factoring. Please help

Verdich [7]

M^3 + 9m =

There is a common factor of m.

= m(m^2 + 9)

That is the complete factorization.
m^2 + 9 is a sum of two squares which is not factorable.

Answer: m(m^2 + 9)

7 0

3 years ago

Read 2 more answers

Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔

bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

$(x_1, y_1)$ and $(x_2, y_2)$ are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

$h(0) = 3(5)^0 = 3 \cdot 1 = 3$

$h(1) = 3(5)^1 = 3 \cdot 5 = 15$

$h(2) = 3(5)^2 = 3 \cdot 25 = 75$

$h(3) = 3(5)^3 = 3 \cdot 125 = 375$

Now, let's find the slopes for each of the sections of the function:

Section A

$m = \dfrac{15 - 3}{1 - 0} = \boxed{12}$

Section B

$m = \dfrac{375 - 75}{3 - 2} = \boxed{300}$

Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

$\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25$

It is 25 times greater. This is because $3(5)^x$ is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.