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jek_recluse [69]
3 years ago
8

The number of paper clips that Crystal has is 42 divided by the number of paper clips that Gayle has. If

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

The number of paper clips that Crystal has is 3 and the number of paper clips that Gayle has is 14

Step-by-step explanation:

Let

x----> the number of paper clips that Crystal has

y --->   the number of paper clips that Gayle has

we know that

y=x+11 ----> equation A

x=42/y ----> equation B

substitute equation A in equation B

x=\frac{42}{x+11} \\ \\x^{2} +11x=42\\ \\x^{2} +11x-42=0

Solve the quadratic equation by graphing

The solution is x=3\ paper\ clips

see the attached figure

Find the value of y

y=3+11=14\ paper\ clips

therefore

The number of paper clips that Crystal has is 3

The number of paper clips that Gayle has is 14

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Let f(x)=2x-1, and g (x)=x^2-3
Minchanka [31]

f(4)= 4^2 - 1 = 15

g(f(4)) = g(15) = 2(15) = 30

Hope this helps!


3 0
3 years ago
What is the answer to x-5?
Thepotemich [5.8K]

Answer: x=5

Step-by-step explanation:

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8 0
3 years ago
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Write absolute value of the following rational number -6/11 , 15/21 , -9 , -21/-37 , 31/-54​
Dahasolnce [82]

Answer:

6/11, 15/21, 9, 27/37, 31/54

Step-by-step explanation:

Absolute value is when you determine the distance between a value and zero . Since you will always have a positive distance, your absolute values are positive as well.

4 0
3 years ago
Which expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 4x 2x – 10 5x 4.
kondaur [170]

Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

The equations given in the problem are the linear equations.

<h3>Linear equation</h3>

Linear equation are the equation which has the highest power of the unknown variable is 1.

Given-

1) The given expression in the problem is,

f(x)=7x-14

Rewrite the equation as,

f(x)=(7x-14)

Take out the negative sign from the bracket,

f(x)=-(-7x+14)

Rewrite the equation with positive terms first.

f(x)=-(14-7x)

Hence the given equation is equivalent to the option 1.

2) The given equation,

f(x)=7x-14

On solving further take out the 7 common from the bracket,

f(x)=7(x-2)

Thus the given equation is equivalent to the option 2.

3) The given equation,

f(x)=7x-14

Split the term of <em>x,</em>

<em />f(x)=4x+3x-14<em />

Rewrite the equation,

f(x)=3x-14+4x

Hence the given equation is equivalent to the option 3.

4) The given equation,

f(x)=7x-14

Split the term of <em>x </em>and constant term,

<em />f(x)=5x+2x-10-4<em />

Rewrite the equation,

f(x)=2x-10+5x-4

Hence the given equation is not equivalent to the option 4.

Thus the expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

Learn more about the linear equation here;

brainly.com/question/11897796

6 0
2 years ago
(-12)^9 negative or positive
g100num [7]
(-12)^9 is a negative because a negative times a positive is negative. The answer to (-12)^9 is -5159780352.
Hope you learned something :)
3 0
3 years ago
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