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ludmilkaskok [199]
3 years ago
9

Dani’s estimate for the cost of tiling her bathroom is $50 plus $3 per square foot. She says that she can model the cost with a

linear function. Explain whether or not Dani is correct
Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
She is correct.

She starts with 50
Each square foot adds 3 dollars...
so Square feet can be represented by x, and cost will be y... giving this linear function:

y=3x+50.
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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4
Julli [10]

Answer:

(m + 2)^{2} - m^{2}  - 12 = 4(m - 2)

Step-by-step explanation:

Step 1:

Write the expression

(m+2)^{2} - m^{2}  - 12

Step 2: Expand (m + 2)^{2}

(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2}  - 12\\m^{2} + 2m + 2m + 4 - m^{2}  - 12

Step 3: Collect similar terms

m^{2}  - m^{2}  + 4m + 4 - 12\\4m - 8

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2}  - m^{2} -  12 is a multiply of 4 because the expression is equal to 4(m-2)

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3 years ago
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2nd week - Gained 1 pound = -1    
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So 22+3 = 25                 25-1 = 24 

So Tina lost 24 pounds in 13 weeks. 
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3 years ago
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