MATHEMATICS MIDDLE SCHOOL

F(x) = Square root of x + 8.; g(x) = 8x - 12 Find f(g(x)).

Answers

Answer 1

Answer:

Answer:

8x - 12 +8

Step-by-step explanation:

Answer 2

Answer:

Answer:

f(g(x)) would be equivalent to inserting the equation for g(x) into the equation of f(x). The answer would thus be square root of 8x - 12 +8

Step-by-step explanation:

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Fill in the blank.if necessary, use the slash marks (/) for a function bar. if sin theta= 3/5, then cos theta=

Answers

Answer:

4/5 or -4/5

Step-by-step explanation:

We are going to use the Pythagorean Identity:

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

We are given the value of $\sin(\theta)$ which is 3/5 so plug that in:

$((3)/(5))^2+\cos^2(\theta)=1$

Simplify:

$(9)/(25)+\cos^2(theta)=1$

Subtract 9/25 on both sides:

$\cos^2(\theta)=1-(9)/(25)$

$\cos^2(\theta)=(16)/(25)$

Take the square root of both sides:

$\cos(\theta)=\pm \sqrt{(16)/(25)}$

$\cos(\theta)=\pm (4)/(5)$

How does the area of the triangle relate to the area of the square? Please Explain!!! I really don't get it!

Answers

A square has 4 right angles and 4 equal sides.
If you draw a diagonal through the square then you get two right triangles. So the area relation between a square and a right triangle is going to be half. The area of the triangle is half the area of the square.

Also the formula for area of a square is length times width.
And the formula for the area of a right triangle is 0.5 times length times width.

So if you set up the equation (let's use * as multiplication symbol ):

Area of a Square : Area of a Right Triangle
length * width : 0.5 * length * width
(Divide by length * width on both sides)
1:0.5 or 2:1

R divided by n plus t equals four v times n

Answers

Answer:

(R/n)+t=4v

Step-by-step explanation:

What best describes the Numbers 5 Both prime, and composite

Answers

5 is a prime number. That's all I can help with.

Answer:

5 is prime because its only factors are 1 and 5.:-)

Step-by-step explanation:

August hosted two dinner parties for his friends. Twenty guests attended the first party, and twenty-six guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?

Answers

Answer: 30%

Step-by-step explanation:

The first step is to find the increase in numbers

26-20= 6

Now you find the percent. This means you're looking for the percent 6 is equal to when compared to 20. The easiest way is to divide the increase by the original number

6/20= 0.3

To convert that to percent, multiply it by 100

0.3 * 100= 30%

There was a 30% increase.

What is 3/4 x 1594/5

Answers

1594/5 = 318.8
3/4 = 0.75

318.8 x 0.75 = 239.1

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The neighborhood ice cream truck driver has to pay $650.00 a week to rent his truck. Each ice cream cone costs $0.75 to make and sells for $1.60. Set up an equation to figure out how many ice cream cones must be sold to make a profit of $100.00 for the week.

10 points!! A.S.A.P! HELP :)

Mr. Hoya brought 5 watermelons from his grocery store. The watermelons weighed 8 1/4 pound, 9 1/4 pound, 8 7/8 pound, 9 5/8 pound, and 10 3/4 pound. At the party 153 people each ate 1/4 pound serving of watermelon. Was the amount of less than or greater than 8 4/8 or 1/2 pounds? Explain how to solve the problem. Then solve it.