Answer:
178 miles
Step-by-step explanation:
We know that there is a constant of $14.20 that is the fee. This can represent b in our slope intercept formula. For every mile, the cost is 16 cents, which can replace m when x represents the number of miles driven.
y=mx+b
y=.16x+14.20
We know her entire bill is 42.68, so we can plug that in as y and solve for x.
42.68=.16x+14.20
Minus 14.20 from both sides
28.48=.16x
Divide both sides by .16
x=178
Let
we know that
The function f(x) is a vertical parabola open upward
the vertex is the point 
------> is a minimum
The function g(x) is a linear equation
The y-intercept is the point 
-----> for 
find the value of g(x)
therefore
the answer in the attached figure
Answer:
144
Step-by-step explanation:
Remark
Well you could do this the brute force way. 32 is the nineth term in the series. Sum = 0 + 4 + 8 + 12 + ... 32 = 144. That will get you an answer.
This works unless you are asked for the 44434th term. Then you better use a formula. Even the hundredth term would be trouble.
Step One
Find d
d is given as 4
Step 2
find n. There are 9 terms. The 9 is given.
Step 3
Find the ninth term.
<em><u>Givens</u></em>
a1 = 0
n = 9
d = 4
<em><u>Formula for the 9th term: </u></em>a9 = a1 + (n - 1)*d
Substitute and Solve
a9 = 0 + (9 - 1)*4
a9 = 8*4 = 32
Step 4
Find the sum of the first 9 terms
Sum = (a1 + a9)*n/2
Sum = (0 + 32)*9/2
Sum = 32 * 9/2
Sum = 32 * 4.5
Sum = 144
Answer:
94.2 ft.
Step-by-step explanation:
The equation to find circumference is 2 times pie times radius. We subsitute pie for 3.14. Now the equation is 2(3.14)r. The radius is 15. When we subsitute 15 for r the answer will be 2(3.14)15. Another way to write it is 2 times 3.14 times 15. The answer would be 94.2
Answer:
<em>Pickles. My friends are allergic to cheese. </em>
