Answer:
See attached
Step-by-step explanation:
Given function:
Table and graph are attached
Zeros are included in the graph
<u>Zero's are obtained:</u>
x = 0 ⇒ y = 8
y = 0 ⇒ Solving quadratic equation
- -2x² + 5x + 8 = 0
- x = (-5 ± √(25 + 2*4*8))/-4
- x = 3.608
- x = -1.108
So zeros are (0, 8), (3.608, 0) and (-1.108, 0)
It will take them exactly 4hours 48 minutes.
<h3>what is rate?</h3>
Rate is a measure of a given quantity against a known or standard quantity.
Analysis:
If Tanya and Tim cleaned the house in 3 hours. Then either of them would clean the house in 2 x 3 = 6 hours.
If their 3 children cleaned the house in 6 hours, then each child would clean the house in = 3 x 6 = 18 hours
Total time for cleaning the house = 18 hours + 6 hours = 24 hours
If the five people were to do it at once then time taken to clean the house = 24/5 = 4.8 hours = 4 hours 48 minutes
In conclusion, the time for 5 people to clean the house is 4 hours 48 minutes
Learn more about rate: brainly.com/question/24304697
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Answer:
f(g(x)) = 3x + 25
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Function Notation
- Function Composition
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x - 5
g(x) = x + 10
<u>Step 2: Find f(g(x))</u>
- Substitute: f(g(x)) = 3(x + 10) - 5
- Distribute 3: f(g(x)) = 3x + 30 - 5
- Subtract: f(g(x)) = 3x + 25
