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bixtya [17]
2 years ago
10

Lee washes the outsides of houses. It takes him 40 minutes to power wash a one-story home, and he uses 180 gallons of water. Pow

er washing a two-story home takes 90 minutes and uses 300 gallons of water. Lee works no more than 40 hours each week, and he uses a maximum of 5,000 gallons of water per week. He charges $90 to wash a one-story home and $150 to wash a two-story home. Lee wants to maximize his weekly washing income washing houses. Let x represent the number of one-story houses and y represent the number of two-story houses.
Mathematics
1 answer:
Grace [21]2 years ago
6 0

Answer:

d

Step-by-step explanation:

TOOK THE TEST

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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

5 0
3 years ago
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olganol [36]

Answer:

\boxed{a. \: f(x) = 3(2)x} \: is \: correct

Step-by-step explanation:

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Area of the greater rectangle=(8x-1)(6x)
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Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
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=48x²-6x-10x²-6x
=38x²-12x

Answer: the area of the shaded region would be: 38x²-12x
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3 years ago
Which of the following options have the same value as 65% of 20?
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B

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