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kramer
3 years ago
8

If c(x) = 4x – 2 and d(x) = x^2 + 5x, what is (c * d) (x)?

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

(4x - 2)(x^2 + 5x)

4x^3 + 20x^2 - 2x^2 - 10x

4x^3 + 18x^2 - 10x

Step-by-step explanation:

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Step-by-step explanation:

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If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of x
Ulleksa [173]
For this question, we can assume that RS + ST = RT.  So now, we just have to plug in the expressions for these lengths, and solve the equation.

(3x+1) + (2x-2) = 64

Because we are only dealing with one operation, the parentheses aren't necessary.

3x + 1 + 2x - 2 = 64

Next, we should combine like terms on the left side of the equation. We know that 3x + 2x = 5x, and that 1 - 2 = -1.

5x - 1 = 64

The goal of an equation is to get the variable alone.  To do this, we have to get rid of the -1 on the left side of the equation.  So, we are going to add 1 to both sides of the equation, to cancel out the -1 on the left side.

5x = 65

Finally, we are going to divide both sides by 5, as this is the inverse operation of multiplication, which is how the 5 and the x are connected.

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Therefore, the value of x is 13.
3 0
3 years ago
Tanya runs a catering business. Based on her records, her weekly profit can be approximated by the function, where x is the numb
uranmaximum [27]

answer is in image attached

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=2x%20-%206%20%3D%205y%20-%203x" id="TexFormula1" title="2x - 6 = 5y - 3x" alt="2x - 6 = 5y - 3
Zigmanuir [339]

Answer:

( 2x - 3 ) / 5

Step-by-step explanation:

2x - 6 = 5y - 3

2x - 6 + 3 = 5y

2x - 3 = 5y

y = ( 2x - 3 ) / 5

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3 years ago
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