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Darina [25.2K]
2 years ago
13

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

Mathematics
1 answer:
dlinn [17]2 years ago
7 0

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Function Notation
  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                   (f - g)(x) = 3x + 5 - x²
  2. Rewrite:                       (f - g)(x) = -x² + 3x + 5
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Determine the value of x and y in the following systems of equations5x-2y=4 ; -2x+y=2.
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Answer:(x,y)=(8,18)

Step-by-step explanation:

Given

5x-2y=4-------1

Second Equation

-2x+y=2-----2

Now multiply equation 2 by 2 and it to equation 1

5x-4x+0=8

x=8

substitute it in equation 1

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3 years ago
EMERGENCY! <br><br> How many cubes with side lengths of 1/2 cm does it take to fill the prism?
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Answer:

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Step-by-step explanation:

You can figure this a couple of ways.

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The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.

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Another way to figure this is to compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.

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Then the number of cubes that will fit in the prism is ...

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