Answer:
i think b
Step-by-step explanation:
hope i could help
Answer: 15%
Reason: I wrote it down hopes it helps!!
Step-by-step explanation:
∫₋₂² (f(x) + 6) dx
Split the integral:
∫₋₂² f(x) dx + ∫₋₂² 6 dx
Graphically, if f(-x) = -f(x), then ∫₋₂² f(x) dx = 0. But we can also show this algebraically.
Split the first integral:
∫₋₂⁰ f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
Using substitution, write the first integral in terms of -x.
∫₂⁰ f(-x) d(-x) + ∫₀² f(x) dx + ∫₋₂² 6 dx
-∫₂⁰ f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
Flip the limits and multiply by -1.
∫₀² f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
Rewrite f(-x) as -f(x).
∫₀² -f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
-∫₀² f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx
The integrals cancel out:
∫₋₂² 6 dx
Evaluating:
6x |₋₂²
6 (2 − (-2))
24
Answer: Sometimes
Explanation:
Quotient greater than 1:
3/4 divide by 2/3
= 3/4 x 3/2 = 9/8 > 1
4/5 divide by 2/5
= 4/5 x 5/2 = 2 > 1
Quotient less than 1
1/100 divide by 2/10
= 1/100 x 10/2 = 1/20 < 1
1/50 divide by 1/25
= 1/50 x 25/1 = 1/2 < 1
Answer:
80%
Step-by-step explanation:
0.75 ⇒ 100%
0.15 ⇒ x%
0.75x = 100·(0.15)
0.75x = 15
x = 15/(0.75)
x = 1500/75
x = 20%
100% - (discount) = x%
100% - (discount) = 20%
discount = 100%-20%
discount = 80%
