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.
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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.
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Definition: A histogram visualises the distribution of data over a continuous interval or certain time period. Each bar in a histogram represents the tabulated frequency at each interval.
According to the given histogram,
0-20 years occur 15 times,
21-40 years occur 40 times,
41-60 years occur 40 times,
61-80 years occur 15 times.
This shows that the data is symmetrical and the majority of the attendees were between the ages of 21 and 60 (40 times).
Answer: correct choice is B.
Answer:
1.) k = 5
2.) n = -20
3.) p = -13
4.) m = -450
5.) b = -38
6.) n = -24
7.) x = 21
8.) x = 12
9.) b = -2
10.) b = 5
Step-by-step explanation:
To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.
1.) 55 = 11k
(11 and k are being multiplied, so you would divide)
Divide by 11 on both sides:
55 = 11k
/11 /11
5 = k
2.) Add 15 on both sides:
n - 15 = -35
+15 +15
n = -20
3.) Divide by -6 on both sides:
78 = -6p
/-6 /-6
-13 = p
4.) Multiply by 18 on both sides:
m/18 = -25
18(m/18) = (-25)18
m = -450
5.) Add 20 on both sides:
18 = -20 - b
+20 +20
38 = -b
Divide by -1 on both sides:
38 = -b
/-1 /-1
-38 = b
6.) Subtract 12 on both sides:
12 + n/4 = 6
-12 -12
n/4 = -6
Multiply by 4 on both sides:
4(n/4) = (-6)4
n = -24
7.) Multiply by 2 on both sides:
2(-7 + x/2) = (7)2
-7 + x = 14
Add 7 on both sides:
-7 + x = 14
+7 +7
x = 21
8.) Subtract 2 on both sides:
-4x + 2 = -22
-2 -2
-4x = -24
Divide by -4 on both sides:
-4x = -24
/-4 /-4
x = 12
9.) Add 9 on both sides:
7 = -8b - 9
+9 +9
16 = -8b
Divide by -8 on both sides:
16 = -8b
/-8 /-8
-2 = b
10.) Multiply by -3 on both sides:
-3(b - 14/-3) = (3)-3
b - 14 = -9
Add 14 on both sides:
b - 14 = -9
+14 +14
b = 5
Based on corresponding angles, the upper left angle will be the supplement of 130, which is 50 degrees. The upper right angle is perpendicular, so it is 90 degrees. Since the sum of all internal angles of a triangle is 180, the remaining angle (lower angle) is 40 degrees. This is choice G.
Answer: x = −18
Step-by-step explanation:
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 22 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 22 + -4
-1x = 22 + -4
Combine like terms: 22 + -4 = 18
-1x = 18
Divide each side by '-1'.
x = -18
Simplifying
x = -18
