Answer:
Sₙ = 57/2 * (504 + 896) = 39900
Step-by-step explanation:
first multiple of 7 after 500 is: 72 *7 = 504
last multiple of 7 before 900 is: 128 *7 = 896
a₁ = 504
aₙ = 896
where n = 128-72 +1 = 57
sum of arithmetic sequence: Sₙ = n/2 * (a₁ + aₙ)
Sₙ = 57/2 * (504 + 896) = 39900
Divide total miles driven by the total amount of gas used to find the number of miles per gallon.
Then multiply that by the number of gallons you want to find out:
268 miles / 12 gallons = 22.333 miles per gallon.
22.333 miles per gallon x 9 gallons = 201 total miles.
Answer:
4/5
Step-by-step explanation:
Answer:
The difference quotient for 
is 
.
Step-by-step explanation:
The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by
So, for the function the difference quotient is:
To find 
, plug 
instead of 
Finally,
The difference quotient for is .
Angles on a straight line add up to 180 degrees so
45 + 3x = 180
Subtract 45 from both sides to remove the 45 on the left
3x = 135
Then divide both sides by 3
x = 45
Answer is X = 45
