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Define x :
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Let the dryer be x.
Dryer = x
Washer = x -53

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Construct Equation :
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The washer and the dryer cost $847
⇒ x + x - 53 = 847

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Solve x :
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x + x - 53 = 847
2x - 53 = 847
2x = 847 + 53
2x = 900
x = 450

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Find cost of dryer and washer :
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Dryer = x = $450
Washer = x = 450 - 53 = 397

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Answer: Dryer = $450
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3 0

3 years ago

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Factor 7(x − 3)2 − 4(x − 3) − 3 completely.

Nezavi [6.7K]

$7(x-3)^2-4(x-3)-3\\\\substitute\ t=x-3,\ then\ we\ have\\\\7t^2-4t-3\\\\a=7;\ b=-4;\ c=-3\\\\\Delta=b^2-4ac\\\\\Delta=(-4)^2-4\cdot7\cdot(-3)=16+84=100\\\\t_1=\dfrac{-b-\sqrt\Delta}{2a};\ t_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\t_1=\dfrac{-(-4)-10}{2\cdot7}=\dfrac{4-10}{14}=\dfrac{-6}{14}=-\dfrac{3}{7}\\\\t_2=\dfrac{-(-4)+10}{2\cdot7}=\dfrac{4+10}{14}=\dfrac{14}{14}=1\\\\7t^2-4t-3=7\left(t+\dfrac{3}{7}\right)(t-1)=(7t+3)(t-1)\\\\=(7(x-3)+3)(x-3-1)=(7x-21+3)(x-4)\\\\=\boxed{(7x-18)(x-4)}$

7 0

3 years ago

Find the product. Write your answer as a mixed number in simplest form. 5 2/9 x 2 3/7

IRINA_888 [86]

Answer:

12, 43/63

Step-by-step explanation:

3 0

2 years ago

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