Answer:
C
Step-by-step explanation:
Step 1: Translate word to math
"Five" = 5
"times" means multiplication
"a number" = <em>n</em>
"plus" means addition
"3" = 3
"is" means equal
"12" = 12
Step 2: Set up equation (combine)
5n + 3 = 12
Answer:
y= 3|x|+5
Step-by-step explanation:
Remember the graph for |x| is shown on the attached picture
Since the picture you show tell us that y=5 when x=0
we have something like the following y=a|x|+5, where 'a' is a constant that represents the slope of the line (whether is the line from one side of the 'y' axis or from the other), we can see that, when x=1, y=8, so we have another point
we can use the equation for slopes using points 1 (0,5) and 2 (1,8)
thus we have that 
So the answer is y= 3|x|+5
Answer:
2/3 or 3/2
Step-by-step explanation:
Let x represent the number. The given relation is ...
x +1/x = 2 1/6
x^2 +1 = (13/6)x
6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6
(6x -9)(6x -4)/6 = 0 . . . . factor
(2x -3)(3x -2) = 0 . . . . . . simplify a bit
x = 3/2 or 2/3 . . . . . . . . values of x that make the factors zero
The number is 2/3 or its reciprocal, 3/2.
Since it asks you to estimate, you would round the 4.6 up to 5. The estimate volume would be 125 inches^3; answer C.
The polynomial remainder theorem states that the remainder upon dividing a polynomial

by

is the same as the value of

, so to find

you need to find the remainder upon dividing

You have
..... | 2 ... 14 ... -58
-10 | ... -20 ... 60
--------------------------
..... | 2 ... -6 .... 2
So the quotient and remainder upon dividing is

with a remainder of 2, which means

.