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maw [93]
3 years ago
14

Find the product. (7−x)(x−1)=

Mathematics
2 answers:
Alexxx [7]3 years ago
5 0

Answer:

-x^2 + 8x - 7

Step-by-step explanation:

(7 - x)(x - 1)

(7 * x) + (7 * -1) + (-x * x) + (-x * -1)

7x - 7 - x^2 + x

8x - 7 - x^2

-x^2 + 8x - 7

Best of Luck!

vaieri [72.5K]3 years ago
3 0

Answer:

-x² + 8x - 7

Step-by-step explanation:

Step 1: Write expression

(7 - x)(x - 1)

Step 2: FOIL (First Outside Inside Last)

7x - 7 - x² + x

Step 3: Combine like terms

-x² + 8x - 7

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Answer:

10 gallons

Step-by-step explanation:

She used 12 gallons this week and used 20% more than last week. That means 12 gallons is 120% of last weeks gas. Since 12 times 10 equals 120, then to find 20% you do 20 divided 10 and subtract the answer from 12.

20% is 2 because 20 divided by 10 is 2. 12 minus 2 is 10

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3 years ago
An architect is designing square windows with an area of(x2 + 16x +64) ft?. The dimensions of the
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A) The dimensions are (x+10) by (x+10).

B) The perimeter is given by 4x+40.

C) The perimeter when x is 4 is 56.

The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x.  Our c is 100 and our b is 20; we want factors of 100 that sum to 20.  10*10=100 and 10+10=20, so those are what we need.  This gives us (x+10)(x+10 for the factored form.  

Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10).  Using the distributive property we have 4*x+4*10=4x+40.

To find the perimeter when x=4, substitute 4 into our perimeter expression:

4*4+40=16+40=56.

6 0
3 years ago
Read 2 more answers
Solve for a. 2z=4a/m +3
Finger [1]

Answer:

<h3>                a = (2mz - 3m)/4</h3>

Step-by-step explanation:

2z = 4a/m +3

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 ×m        ×m

(2z -3)m = 4a

     ÷4      ÷4

[(2z -3)m]/4 = a

a = (2mz - 3m)/4

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Step-by-step explanation:

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