Answer:
30
Step-by-step explanation:
Average rate of change=Δf(x)/Δx = [f(x2)-f(x1]/[x2-x1]
Δf(x)/Δx = [f(5)-f(1]/[5-1]
f(5)=5³-5=120
f(1)=1³-1=0
Δf(x)/Δx = [120-0]/[5-1]=120/4=30
12 inches in 1 foot
12*12*12 cubic inches in 1 cubic foot = 1728 in^2
So 7125 in^3 = 7125/1728 = 4.123 ft^3 to nearest thousandth
The answer is 7x/12 - 1/2. Its the first option in your picture. Hope this helps .
Answer to the first question: 7/10ths of a mile
Explaination: When adding fractions, you need to have a common denominator. Since dividing 3/10 by 2 to get a denominator of 5 makes 3 a decimal, it's easier to multiply 2/5 by 2 to get a denominator of 10. You do the same to the top that you do to the bottom:
. From there, just add 4/10 and 3/10 to get the answer: 7/10ths of a mile.
Answer to the second question: Daniel read three (3/10) more books
Explaination: Since you can't evenly multiply 5 or 2 to get the opposite number, it's easier to multiply to the lowest common multiple. The easiest way to find that is to multiply both denominators (5*2=10). You'll have to multiply the numerator by the same amount you multipled the denominator by. For Daniel, that would mean:
. For Edgar, that would mean:
. So, Daniel read 3 more books than Edgar.
Answer to the third question: 2/4 mile (or 1/2 a mile)
Explaination: 2/8 can be simplified, by dividing the top and bottom by 2, resulting in 1/4. Since both fractions have the same denominator (/4), you can add them to get 2/4ths. This can be simplified further to half (1/2) a mile.