Good luck to Jonathan. I hope he gets his sport set soon.
Answer:
(f o h)(x) = -10x + 32
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x³ + 8
h(x) = ∛(12 - 5x)
(f o h)(x) is f(h(x))
<u>Step 2: Find Composite Function</u>
- Substitute: (f o h)(x) = 2(∛(12 - 5x))³ + 8
- Evaluate: (f o h)(x) = 2(12 - 5x) + 8
- Distribute 2: (f o h)(x) = 24 - 10x + 8
- Combine like terms: (f o h)(x) = -10x + 32
And we have our final answer!
Answer: 13300
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Work Shown:
A = event that it rains
B = event that it does not rain
P(A) = 0.30
P(B) = 1-P(A) = 1-0.30 = 0.70
Multiply the attendance figures with their corresponding probabilities
- if it rains, then 7000*P(A) = 7000*0.30 = 2100
- if it doesn't rain, then 16000*P(B) = 16000*0.70 = 11200
Add up the results: 2100+11200 = 13300
This is the expected value. This is basically the average based on the probabilities. The average is more tilted toward the higher end of the spectrum (closer to 16000 than it is to 7000) because there is a higher chance that it does not rain.
Answer:
3
Step-by-step explanation: So first you have to make this word problem into a equation into standard form so 20 is our (y) because that is the additional charge but our slope is 3 because that is what they charge per hr **when they say (per) usually the member with it is the slope** (sry I’m not the best explainer)
Answer:
11 students
Step-by-step explanation:
We can see that there are 6 students with 3 siblings, 4 students with 4 siblings, and 1 student with 6 siblings.
Adding all of these together will tell us how many students have 3 or more siblings.
6 + 4 + 1 = 11
So, there are 11 students with 3 or more siblings.