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katen-ka-za [31]
3 years ago
5

A rectangle has an area of 192 square inches. Find it’s length and width if the length is 3 times the width

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer: Width = 9 inches

Length = 12 inches

Step-by-step explanation: A = (w+3)(w)

A = w2 + 3w = 108

w2 + 3y - 108 = 0

This is the factor of the problem: (w - 9) (w + 12) = 0

This equals to w + 12 = 0

w = -12

Then the final answer would be Width = 9 inches

Length = 12 inches.

Hope this helps!

I am joyous to assist anytime!

<em>~Jarvis</em>

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If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

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h(x) = 5x - 5

Step-by-step explanation:

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5. The following functions represent the rate structures of the two rental companies: x = the number of weeks Company A f(x) = 15(7x) Company B g(x) = 100x + 5 The function h(x) = f(x) – g(x) represents the difference between the two rate structures. Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply. If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B. If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B. If Marguerite rents for 1 week, it will cost her the same at either company. If Marguerite rents for 1 week, it will cost her more if she rents from Company A. h(x) = 5x – 5 h(x) = 5x + 5

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For company A: f(x) = 15(7x)

For company B: g(x) = 100x + 5  

h(x) = f(x) – g(x) represents the difference between the two rate structures.

h(x) = f(x) - g(x) = 15(7x) - (100x + 5)

h(x) = 105x - 100x - 5

h(x) = 5x - 5

If Marguerite rents for 2 weeks:

The cost for company A = 15(7x) = 15(7 × 2) = $210

The cost for company B = 100x + 5 = 100(2) + 5 = 200 + 5 = $205

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

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The cost for company A = 15(7x) = 15(7 × 1) = $105

The cost for company B = 100x + 5 = 100(1) + 5 = 100 + 5 = $105

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