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uysha [10]
2 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]2 years ago
5 0
25x+140=y. 25(10)+140=390.
Contact [7]2 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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6 times 7 = 42      hope helped

8 0
2 years ago
Find the center, vertices, and foci for the ellipse 25x^2 + 64y^2 = 1600
Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation               25x² + 64y² = 1600

Process

1.- Divide all the equation by 1600

                             25x²/1600 + 64y²/ 1600 = 1600/1600

-Simplify

                              x²/64 + y²/ 25 = 1

2.- Equation of a horizontal ellipse

                             \frac{x^{2} }{a^{2}} + \frac{y^{2}}{b^{2}} = 1

3.- Find a, b and c

    a² = 64             a = 8

    b² = 25             b = 5

-Calculate c with the Pythagorean theorem

                   a² = b² + c²

-Solve for c

                   c² = a² - b²

-Substitution

                   c² = 8² - 5²

-Simplification

                  c² = 64 - 25

                  c² = 39

-Result

                  c = √13

4.- Find the center

          C = (0, 0)

5.- Find the vertices

          V1 = (-8, 0)     V2 = (8, 0)

6.- Find the foci

          F1 = (-√13, 0)   F2 = (√13, 0)

7 0
2 years ago
a marathon is 26.2 miles. If Sally ran a marathon in 3 hours 3 minutes what was her approximate pace in minutes?
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Let's turn 3 hours and 3 minutes into minutes.

One hour=60×3=180+3=183

So, there's 183 minutes in 3 hours and 3 minutes. We need to divide 26.2 miles by 183.

26.2÷183≈ 0.143

So, Sally ran 0.143 miles every minute.

7 0
2 years ago
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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –
SVETLANKA909090 [29]

We have to identify the function which has the same set of potential rational roots as the function g(x)= 3x^5-2x^4+9x^3-x^2+12.

Firstly, we will find the rational roots of the given function.

Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Consider the first function given in part A.

f(x) = 3x^5-2x^4-9x^3+x^2-12

Here also, Let 'p' be the factors of 12

So, p= \pm 1, \pm 2, \pm 3, \pm 4, \pm 6

Let 'q' be the factors of 3

So, q=\pm 1, \pm 3

So, the rational roots are given by \frac{p}{q} which are as:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm \frac{1}{3}, \pm \frac{2}{3}, \pm \frac{4}{3}.

Therefore, this equation has same rational roots of the given function.

Option A is the correct answer.

4 0
2 years ago
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Pachacha [2.7K]

The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.

Explanation:

The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.

   x                 y

   5                -18    

   0                -2

   3                 10

First row:

-2 + 4 (5) = y  (5 is the value of x which is first multyply by 4)

-2 + 20 = -18 (value of y in the table)

Second row:

-2 + 4 (0) y

-2 + 0 = -2

Third row:

-2 + 4 (3) = y

-2 + 12 = 10

5 0
2 years ago
Read 2 more answers
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