Answer:
first figure out what v is then add it with 2 then compare
Step-by-step explanation:
Answer:
We conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
Given
The function is given by
f(x) = x²+8x-10
To determine
f(a)+5
In order to determine f(a)+5, first, we need to determine f(a).
Now substitute x = a in the function f(x) = x²+8x-10
f(a) = (a)² + 8(a) - 10
f(a) = a² + 8a - 10
Thus,
f(a) + 5 = (a² + 8a - 10) + 5
f(a) + 5 = a² + 8a - 5
Therefore, we conclude that:
f(a) + 5 = a² + 8a - 5
Answer:
He can make 3 batches of soup.
Step-by-step explanation:
Starting with 10 pounds of tomatoes and taking out the number of pounds he sets aside for spaghetti sauce, 2.8, we have:
10-2.8 = 7.2 pounds left.
0.2 is read as "two tenths," so 7.2 = 7 2/10
We divide this remaining number of pounds by 2 2/5 for each batch of soup:
7 2/10 ÷ 2 2/5
Convert each to an improper fraction:
72/10 ÷ 12/5
Multiply by the reciprocal:
72/10 × 5/12 = 360/120 = 3
Constant rates are used to illustrate linear functions.
- The average rate of change is $9.0 per hour
- The function that models the table is:

- The amount earned in 7.5 hours is $67.5
<u>(a) The average rate of change</u>
This is calculated using:

So, we have:



Hence, the average rate of change is $9.0 per hour
<u>(b) A function that models the table of values</u>
Let x represent hours, and y represent the earnings.
So, we have:

Where:
m =Rate = 9.0
So, we have:

Expand


Represent as a function

Hence, the function that models the table is: 
<u>(c) Amount earned for 7.5 hours</u>
This means that x = 7.5
So, we have:


Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
brainly.com/question/23184115