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Slav-nsk [51]
3 years ago
9

If she spent a total of $44.25 on fabric, what was the cost per yard? She bought 14 3/4. Explain how you solved

Mathematics
1 answer:
Deffense [45]3 years ago
6 0

44.25 \div 14.75 = 3
$44.25 total divided by how many yards (14.75) = $3/yard
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4/610=0.00655737704918

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Find the 7th term of the arithmetic sequence 5x + 9, 8x + 5, 11x + 1,...
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<h2>           \bold{a_7=33x-15}</h2>

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Find the difference quotient <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bf%28x%20%2B%20h%29%20-%20f%28x%29%7D%7Bh%7D" id="TexFor
AlladinOne [14]

Answer:

-2x - h - 3

Step-by-step explanation:

Step 1: Define

Difference Quotient: \frac{f(x+h)-f(x)}{h}

f(x) = -x² - 3x + 1

f(x + h) means that x = (x + h)

f(x) is just the normal function

Step 2: Find difference quotient

  1. <u>Substitute:</u> \frac{[-(x+h)^2-3(x+h)+1]-(-x^2-3x+1)}{h}
  2. <u>Expand and Distribute:</u> \frac{[-(x^2+2hx+h^2)-3x-3h+1]+x^2+3x-1}{h}
  3. <u>Distribute:</u> \frac{-x^2-2hx-h^2-3x-3h+1+x^2+3x-1}{h}
  4. <u>Combine like terms:</u> \frac{-2hx-h^2-3h}{h}
  5. <u>Factor out </u><em><u>h</u></em><u>:</u> \frac{h(-2x-h-3)}{h}
  6. <u>Simplify:</u> -2x - h - 3

8 0
2 years ago
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