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2 years ago

3g(x) - 2f(x) hi

x) - 2f(x)" align="absmiddle" class="latex-formula">

Mathematics

2 answers:

Charra [1.4K]2 years ago

8 0

S_shake s_dissolveshake s_childpredator

Len [333]2 years ago

6 0

hopefully that helps 3gx-2fx (if ur simplifying)

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Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe

Rama09 [41]

You can see how this works by thinking through what's going on.

In the first year the population declines by 3%. So the population at the end of the first year is the starting population (1200) minus the decline: 1200 minus 3% of 1200. 3% of 1200 is the same as .03 * 1200. So the population at the end of the first year is 1200 - .03 * 1200. That can be written as 1200 * (1 - .03), or 1200 * 0.97

What about the second year? The population starts at 1200 * 0.97. It declines by 3% again. But 3% of what??? The decline is based on the population at the beginning of the year, NOT based no the original population. So the decline in the second year is 0.03 * (1200 * 0.97). And just as in the first year, the population at the end of the second year is the population at the beginning of the second year minus the decline in the second year. So that's 1200 * 0.97 - 0.03 * (1200 * 0.97), which is equal to 1200 * 0.97 (1 - 0.03) = 1200 * 0.97 * 0.97 = 1200 * 0.972.

So there's a pattern. If you worked out the third year, you'd see that the population ends up as 1200 * 0.973, and it would keep going like that.

So the population after x years is 1200 * 0.97x

5 0

3 years ago

Which pair of functions are inverses of each other?

harina [27]

Answer:

D.f(x)=2x-9and g(x)=X+9/2

4 0

3 years ago

Who could help me please and thank you

kondor19780726 [428]

Answer:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Step-by-step explanation:

We have the expression:

$-\frac{x^3}{6} - 10 + x$

First, what does that expression represents?

As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.

How many terms are there?

The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.

What is the constant term?

The constant term is the term where the variable, x, does not appear, here the constant term is: -10

What is the leading coefficient?

The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:

$-\frac{x^3}{6} -10 + x = (\frac{-1}{6})*x^3 - 10 + x$

the leading coefficient is:

(-1/6)

There is a part of the statement that I can't read, i suppose that there says:

"leading degree"

this is just the largest power of x that appears in the polynomial, in this case, is 3.

Then the complete statement is:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

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3 years ago

jack has 6 pounds of candy, he plans on splitting it up equally with his 5 students how many pounds will each student get?

uysha [10]

The answer will be 1.2

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3 years ago

Read 2 more answers

2 x - 17 = 11.<br> Help please

Svet_ta [14]

Step-by-step explanation:

Perhaps you want to solve the equation for the value of x. If so then let us work it out:

$2x - 17 = 11 \\ 2x = 11 + 17 \\ 2x = 28 \\ x = \frac{28}{2} \\ \huge \red { \boxed{x = 14}}$

8 0

2 years ago