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swat32
3 years ago
11

Modeling Real-World Problems with Composite Functions

Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

The third option: (f°g)(x)=1.07(0.65x)=06955x

Step-by-step explanation:

The reason I chose this is because 0.65x is the discount price.  That's because 35% off is the same as 1.00-0.35 which equals 0.65.  After that you would multiply that discount price by 1.07 because you want the 7% sales tax added on to the discount price.  Therefore, I would choose the third option as my answer.

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PLEASE HELP ME QUICKLY!!! Given that N:{1,2,3,5,8,13} and M:{−9,−8,−6,−4,−2,4}, which statements about N and M are true?
Lelechka [254]

Answer:

The intersection of N and M contains only those elements that are in both N and M.

The intersection of N and M is ϕ.

​N∩M=∅

Step-by-step explanation:

Given

M = { 1, 2, 3, 5, 8, 13}

N = {-9, -8, -6, -4, -2, 4}

Now let us see each statement one by one.

The intersection of N and M contains only those elements that are in both N and M.

The statement is true because by definition intersection of two sets consists of common elements of both sets.

The intersection of N and M is ϕ.

The statement is true. As there is no common element in both sets.

The intersection of N and M is {−9,−8,−6,−4,−2}.

The statement is false because there is not common element in M and N.

N∪M=∅

The statement is false as the union consists of elements of both sets so it can't be empty.

​N∩M=∅

True. Because no common element so intersection will be an empty set..

4 0
3 years ago
A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is th
solmaris [256]

Answer: 1,811 square foot

Step-by-step explanation:

Hi, to answer this question we have to solve the equation given, by substituting P = 4,148 and f=190 in the equation.

P = 1.85s + 4.2f

4,148 = 1.85s +4.2 (190)

Solving for s:

4,148 = 1.85s +798

4,148-798 =1.85s

3,350 = 1.85s

3,350/1.85 =s

s = 1,810.81 = 1,811 square foot  (rounded)

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Read 2 more answers
Simplifying the following expression:<br> 6x + 2(3x + 5) + (-9)
Nezavi [6.7K]
= <span>6x + 2(3x + 5) + (-9)
= 6x +6x + 10 - 9
= 12x + 1

In short, Your Final Answer would be 12x + 1

Hope this helps!</span>
3 0
3 years ago
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Expressions, Equations &amp; inequalities Question 1<br>Solve the inequality<br>12x + 151 - 19​
aliya0001 [1]

Answer:

I believe the answer is 12 • (x + 11) .

3 0
3 years ago
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Please help me I AM STUCK, and please explain how you get the answer.
kozerog [31]
A is the answer. Hope this helps!
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