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3 years ago

What is the gcf for 42n - 27s

Mathematics

1 answer:

Trava [24]3 years ago

5 0

Answer:

Step-by-step explanation:

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The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet

nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

$f(x)=3(x-2)+4$

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval $[a,b]$ is given as :

$\frac{f(b)-f(a)}{b-a}$

For the given function we need to find the average rate of change between 2nd year and 6th year. $[2,6]$

So, we have:

$f(2)=3(2-2)+4=3(0)+4=4$

$f(6)=3(6-2)+4=3(4)+4=12+4=16$

Thus, average rate of change will be:

$\frac{f(6)-f(2)}{6-2}$

⇒ $\frac{16-4}{6-2}$

⇒ $\frac{12}{4}$

⇒ $3$

Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches

8 0

3 years ago

Identify the correct logical reason for the next step in solving this equation

Musya8 [376]

Answer:

Distributive property of equality

Step-by-step explanation:

The first thing to do in an equation is to distribute.

6 0

2 years ago

Read 2 more answers

Look at the triangle show on the right. The Pythagorean Theorem states that the sum of the squares of the legs of a right triang

Vladimir [108]

Answer:

$cos^2\theta + sin^2\theta = 1$

Step-by-step explanation:

Given

$(\frac{b}{r})^2 + (\frac{a}{r})^2$

Required

Use the expression to prove a trigonometry identity

The given expression is not complete until it is written as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = (\frac{r}{r})^2$

Going by the Pythagoras theorem, we can assume the following.

a = Opposite
b = Adjacent
r = Hypothenuse

So, we have:

$Sin\theta = \frac{a}{r}$

$Cos\theta = \frac{b}{r}$

Having said that:

The expression can be further simplified as:

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$

Substitute values for sin and cos

$(\frac{b}{r})^2 + (\frac{a}{r})^2 = 1$ becomes

$cos^2\theta + sin^2\theta = 1$

3 0

3 years ago

What is the quotient of 15,048 and 76

vitfil [10]

Answer:

If you mean 15,048 ÷ 76, the quotient is 198.

If you mean 76 ÷ 15,048, the answer is 0.00505050505. But I doubt that’s what you mean.

8 0

3 years ago

Factor the following using GCF and show work. 6x^2+42x-18

aniked [119]

The greatest common factor is 6. Thus means we divide every part of the expression by 6.

6x^2/6 = x^2
42x/6 = 7x
-18/6 = -3

Your new expression is 6(x^2 + 7x -3).

8 0

2 years ago

What is the gcf for 42n - 27s​

What is the gcf for 42n - 27s