A. Write a function f(x) to represent the price after the 80% markup.
<span>b. Write a function g(x) to represent the price after the 25% markdown. </span>
<span>c. Use a composition function to find the price of an item after both price adjustments that originally costs the boutique $150. </span>
<span>d. Does the order in which the adjustments are applied make a difference? Explain.
</span>
answers
<span>a) f(x) = 1.8x
b) f(x) = 0.75(1.8x)
c) f(150) = 0.75(1.8(150) = $202.50
d) No, it doesn't matter. The result is the same.
</span>
Answer:
x + y <u>></u> 15
10x + 5y <u><</u> 100
we will put it in terms of y
y <u>></u> 15 - x
and
5y <u><</u> 100 - 10x
y <u><</u> 20 - 2x
<u>-TheUnknownScientist</u>
For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?Answer:
Step-by-step explanation:For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?
The answer is actually choice A
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If we add up the equations straight down we will have 0a+2b = 6
Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away
The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6
To isolate b, we divide both sides by 2
2b = 6
2b/2 = 6/2
b = 3
We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'
Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'
3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1
So a = -1 and b = 3 pair up to form (a,b) = (-1,3)
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To check, plug this ordered pair back into both equations
Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out
Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well
So this confirms that the final answer is choice A
