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3 years ago

Factor 16x+40y as an expression

1 answer:

8 0

You can't factor anything out of this except for a number. In this case, you can factor out a four. 16/4=4 40/4=10. This written out should look like 4(4x+10y), and that is your answer.

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Use the given functions to find f (g(x)), and give the restrictions on x.

torisob [31]

Answer:

$f(g(x)) = \frac{10x-9}{3 + 3x}$

Step-by-step explanation:

Given

$f(x) = \frac{1}{x} - 3$

$g(x) = \frac{3}{x} + 3$

Required

Find f(g(x))

If: $f(x) = \frac{1}{x} - 3$

Then:

$f(g(x)) = \frac{1}{3/x + 3} -3$

Solve the denominator (take LCM)

$f(g(x)) = \frac{1}{\frac{3+3x}{x}} -3$

$f(g(x)) = \frac{x}{3 + 3x} - 3$

It can be solved further as:

$f(g(x)) = \frac{x-3(3 + 3x)}{3 + 3x}$

$f(g(x)) = \frac{x-9 + 9x}{3 + 3x}$

$f(g(x)) = \frac{10x-9}{3 + 3x}$

4 0

3 years ago

When solving negative one over five (x − 25) = 7, what is the correct sequence of operations? (5 points) a Multiply each side by

german

Answer:

Hello!!

When solving $-\frac{1}{5} (x-25)=7$ , the correct sequence of operations would be...

Multiply each side by −5, add 25 to each side

Step-by-step explanation:

When completing the order of operations use PEMDAS Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Hope this helps!!

7 0

3 years ago

Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2.

irina [24]

The approximate width of Alice's backyard is 22.36 in.

Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = <span>22.360679775 in or 22.36 in</span>

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

8 0

4 years ago

Read 2 more answers

Which graph below has an vertical shift of 2

Lelechka [254]

Answer:

b. y=sin(x)+2

Step-by-step explanation:

A vertical shift moves the graph up and down on the y axis. In order to move the graph up 2 units, 2 must be added to the entirety of sin(x). Vertical shifts always appear last in the equation and are always added or subtracted.

5 0

3 years ago

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and

slega [8]

Answer:

11/20

Step-by-step explanation:

ratio of cranberry juice is

1- 1/4 - 1/5

= 11/20

6 0

3 years ago