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spayn [35]
2 years ago
5

(3x+1)(x-2)+ax+b=3x^2+8x-5 Work out the values of a and b

Mathematics
1 answer:
Musya8 [376]2 years ago
7 0

Answer:

a = 13, b = - 3

Step-by-step explanation:

Expand the left side and compare like terms on both sides

(3x + 1)(x - 2) ← expand using FOIL

= 3x² - 5x - 2

left side = 3x² - 5x - 2 + ax + b ← combine like terms

             = 3x² + x(a - 5) + b - 2

right side = 3x² + 8x - 5

For the 2 sides to be equal then

a - 5 = 8 ( add 5 to both sides )

a = 13

and

b - 2 = - 5 ( add 2 to both sides )

b = - 3

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The length of a rectangle is 5 less than 3 times its width. The perimeter is
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Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

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2 years ago
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8 0
3 years ago
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