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Artist 52 [7]
2 years ago
11

4. Add f(x)= 4x?+5x-1 g(x) = 2x2 + 5x+3

Mathematics
1 answer:
Maurinko [17]2 years ago
6 0
<h3>Answer:</h3>

A. 3x² +6

<h3>Explanation:</h3>

(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions

... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses

... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms

... = 3x² +6

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3 years ago
A number multiplied by 12 is equal to the sum of the square root of that same number and 36. What is that number?
Pavlova-9 [17]

Answer:

3.15

Step-by-step explanation:

Let the unknown number be n.

Then 12n = √n + 36

We must eliminate the √ operator.  One way to do this is to replace √n temporarily with x.  Then 12n = 12x^2, and we have 12x^2 - x - 36 = 0.  This is a quadratic with a= 12, b= -1 and c = -36

Solving for x using the quadratic formula:

       1 plus or minus √(1 - 4(12)(-36)

x = ----------------------------------------------

                        2(12)

      1 plus or minus √1729

x = -----------------------------------

                        24

       1 plus or minus 41.58

x = -----------------------------------

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Since x = √n, n must be a positive number.  Thus,

       1 + 41.58

x = ---------------- = 1.77

            24

If x = 1.77 = √n, then n = 1.77^2 = 3.15.

Check:  Is this true?  A number multiplied by 12 is equal to the sum of the square root of that same number and 36.

12(3.15) = √3.15 + 36, or

 37.8    =  1.77 + 36  = 37.77     This checks out.

The number is 3.15

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Step-by-step explanation:

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