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vlada-n [284]
3 years ago
10

Simplify the expression 1/4n(-24+8m-100p)

Mathematics
2 answers:
Mnenie [13.5K]3 years ago
3 0
The answer would be -6n+2mn-25pn
BlackZzzverrR [31]3 years ago
3 0

Answer:

The answer of simplify the expression is:

2nm-25np-6n

Step-by-step explanation:

We need to simplify the expression:

\frac{1}{4}n*(-24+8m-100p)

We need multiply each term by \frac{1}{4}n

\frac{1}{4}n*(-24+8m-100p)\\-\frac{24}{4}n+\frac{8}{4}nm-\frac{100}{4}np

Simplify:

-6n+2nm-25np

Organizing the terms of the expression, we have the answer:

2nm-25np-6n

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7 0
3 years ago
please answer the question on the screenshot below, also please explain to me how you got your answer.
frutty [35]

QUESTION 1

The given functions are;

f(x)=5x^2-2x and g(x)=5x^2+x-4

(f+g)(x)=f(x)+g(x)

(f+g)(x)=5x^2-2x+3x^2+x-4

We regroup like terms to obtain;

(f+g)(x)=5x^2+3x^2-2x+x-4

This simplifies to;

(f+g)(x)=8x^2-x-4

The correct answer is A.

QUESTION 2

The given functions are;

f(x)=3x^2+5 and g(x)=x-2.

(fg)(x)=(f(x))(g(x))

This implies that;

(fg)(x)=(3x^2+5)(x-2)

\Rightarrow (fg)(x)=3x^3-6x^2+5x-10

The correct answer is B.

QUESTION 3

The given functions are

f(x)=3x^2+10x-8 and g(x)=3x^2-2x.

(\frac{f}{g})(x)=\frac{f(x)}{g(x)}

(\frac{f}{g})(x)=\frac{3x^2+10x-8}{3x^2-2x},x\ne0,\frac{2}{3}

We factor to obtain;

(\frac{f}{g})(x)=\frac{(x+4)(3x-2)}{x(3x-2)},x\ne0,\frac{2}{3}

We cancel the common factors to obtain;

(\frac{f}{g})(x)=\frac{x+4}{x},x\ne0,\frac{2}{3}

The correct answer is A.

5 0
3 years ago
Find AB<br> Round to the nearest tenth.
zimovet [89]
19.2
To find the hypotenuse the equation would be: a^2 + b^2 = c^2.
12 squared is 144 and 15 squared is 225. Add them and you get 369. Then, square root 369 to isolate c. It'd be about 19.2
6 0
2 years ago
A car used 15 gallons of gasoline and traveled a total distance of 350 miles. The car's fuel efficiency is 25 miles per gallon o
stepan [7]
The equation would be letter b. 25h + 20 (15 - h) = 350
Let’s try to solve to get the value of h
=> 25h + 20(15 -h) = 350
=> 25h + (300 – 20h) = 350
=> 25h + 300 – 20h = 350
=> 300 + 5h = 350
=> 5h = 350 – 300
=> 5h / 5 = 50/ 5
=> h = 10
Thus the value of h is 10 which means a car travel on the highways and used 10 gallons of gasoline,



3 0
3 years ago
For which equations is x = 9 a possible solution? Check all that apply.
ahrayia [7]

Answer: choice 1 and 6

Step-by-step explanation:

just plug in 9 for every X making sure they equal each other.

3 0
2 years ago
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