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lawyer [7]
3 years ago
9

Natalie works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on

top of her base salary equal to 30% of her total sales for the week. How much would Natalie make in a week in which she made $225 in sales? How much would Natalie make in a week if she made x x dollars in sales?
Mathematics
1 answer:
viva [34]3 years ago
6 0

Answer:

$367.50 and y=0.3x+300

30% of 225 is 67.50 and her guaranteed salary is 300 so 300+67.50=$367.50.

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F(x) =x2+2x-3 g(x)=3x-14
Leviafan [203]

The solution to the composite function f(g(x)) is 9x² - 78x  + 165.

<h3>What is composite function?</h3>

A composite function is generally a function that is written inside another function.

Function composition is an operation that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g.

From the given composite function, the solution is determined as follows;

to solve for f(g(x)), we use the following methods.

f(x) = x² + 2x - 3, g(x) = 3x - 14

f(g(x)) = (3x - 14)² + 2(3x - 14) - 3

         = 9x² - 84x + 196  + 6x - 28 - 3

         = 9x² - 78x  + 165

Thus, the solution to the composite function f(g(x)) is 9x² - 78x  + 165.

Learn more about composite function here: brainly.com/question/10687170

#SPJ1

The complete question is below:

F(x) =x2+2x-3 g(x)=3x-14, find f(g(x))

8 0
1 year ago
A 40% antifreeze solution is to be mixed with a 70% antifreeze solution to get 240 liters of a 64% solution. How many liters of
Alexxandr [17]

Answer:

We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.

We set up 2 equations where "f" is the 40 % and "s" is the 70%

A) f + s = 240

B) .40f + .70s = (.64 * 240) (or 153.6)

To solve both equations we multiply A) by -.40

A) -.40 f  - .40 s = -96.00   then we add this to B)

B) .40f + .70s = 153.60

.30s = 57.6

s = 192

f = 48

48 liters of 40% = 19.20 liters of antifreeze

192 liters of  70% = 134.40 liters of antifreeze

That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.

Double Check

153.60 / 240 = 64% antifreeze.

Step-by-step explanation:

6 0
3 years ago
What is the greatest common factor of the pair of numbers?
geniusboy [140]
The answer is 66.
66 * 3 = 198
66 * 5 = 330
3 0
3 years ago
Twice the sum of a number p and 3.
Korvikt [17]

Answer:

7

Step-by-step explanation:

no explanation needed the answer is in the question

4 0
3 years ago
Estimate the quotient. Round your answer to the nearest whole number.<br><br> 39.8 ÷ 4 ≈ ??
Tresset [83]

Answer:

10

Step-by-step explanation:

39.8/4=9.95, rounds to 10

5 0
3 years ago
Read 2 more answers
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