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uysha [10]
4 years ago
8

Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for each contract with the city

.
Write a function to represent this scenario where y represents the total amount her charges for a project and x represents the number hours worked on a project. what is the amount earned after 10 hours of work?
Mathematics
2 answers:
IrinaK [193]4 years ago
5 0
25x+140=y. 25(10)+140=390.
Contact [7]4 years ago
4 0

Answer:  The function representing the scenario is y=140+25x and the amount earned after 10 hours is $ 390.

Step-by-step explanation:  Given that Luigi is an independent contractor who charges a $140 fee plus $25 per hour for each contract with the city.

We are to write a function representing the scenario where y represents the total amount her charges for a project and x represents the number hours worked on a project.

Also, to find the amount earned after 10 hours of work.

The number of hours Luigi work on a project is represented by x.

So, the amount charged by Luigi for a project is given by

140+25x.

Since y represents the total amount charged by Luigi on a project, therefore we must have

y=140+25x.

Now, if Kuigi work for 10 hours, then we have

x = 10.

Therefore,

y=140+25x=140+25\times 10=140+250=390.

Thus, the function representing the scenario is y=140+25x and the amount earned after 10 hours is $ 390.

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tangare [24]

Answer:

40

Step-by-step explanation:

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3 years ago
Factories fully. X to the power of three - x
spayn [35]

The expression x³ - x when factored out is x(x -1)(x + 1)

<h3>How to determine the factored expression?</h3>

From the question, we have the following expression that can be used in our computation:

X to the power of three - x

Express the expression properly

So, we have the following representation

x³ - x

The terms of the above expression are:

x³ and x

And the factor of x³ and x

Factor = x

So, we divide x³ and x by x

The results of these divisions are

x³/x = x²

x/x = 1

So, we have the following results

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Express x² -1 as a difference of two squares

So, we have

(x³ - x) = x(x -1)(x + 1)

Hence, the factored expression is x(x -1)(x + 1)

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7 0
1 year ago
How do you do this question?
likoan [24]

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

8 0
3 years ago
Identify the stem: 16<br> A. 1<br> B. 6<br> C. 7<br> D. 16
Virty [35]
1 is the answer. You put the places in a chart, stem and leaf plot I think its called, look in up up like for another example because it/s been awhile since I learned this 
8 0
3 years ago
Someone plz answer.....
BabaBlast [244]

Answer:

50°

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=> angle 3 + angle 5 = 180° (angle 5 = angle 4)

=> angle 3 + 130° = 180°

=> angle 3 = 180° - 130° = 50°

6 0
3 years ago
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