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djverab [1.8K]
3 years ago
14

Simplify the following expression by combining like terms and factoring. 2(x-6)+4(2x+1)+3

Mathematics
1 answer:
Shkiper50 [21]3 years ago
4 0

Answer:

5(2x - 1)

Step-by-step explanation:

Given

2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis

= 2x - 12 + 8x + 4 + 3 ← collect like terms

= (2x + 8x) + (- 12 + 4 + 3)

= 10x + (- 5)

= 10x - 5 ← factor out 5 from each term

= 5(2x - 1) ← in factored form

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3 years ago
The perimeter of a rectangle is 132 feet and its area is 1080 square feet. find the dimensions
FrozenT [24]
2x + 2y=132

xy=1080

Let x=1080/y

2160/y + 2y=132
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3 years ago
Apples sell for $1.90 per pound, and bananas sell for $0.75 per pound. Troy bought some apples and some bananas. Together they w
matrenka [14]

Answer:

1.15p + 285 = 5.84

Step-by-step explanation:

This problem has two equations. Total cost and Total pounds. The cost and the pounds

p = apple pounds

b = banana pounds

<u>Cost</u>

1.90p + .75b =  5.84

<u>Pounds</u>

p + b = 3.8

<u>Now we use the substitute method for system of equations to solve</u>

p + b = 3.8

b = -p + 3.8

<u>Now that we know what b equals, substitute is for b in the cost equation.</u>

1.90p + .75b =  5.84

1.90p + .75(-p+3.8) =  5.84

<u>distribute / multiply  .75 by (-p+3.8)</u>

1.90p +  -.75p + 2.85 =  5.84

<u>Combine the p values</u>

1.15p + 285 = 5.84

4 0
3 years ago
Where do the lines y=2x+1 and y=-5x-6 intersect?
kipiarov [429]
Answer: (-1,-1)

Explanation:

I added a picture
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3 years ago
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