First you distribute the -12 to the (x+5) getting 144=-12x-60.
Next you add 60 to each side getting 204=-12x
Then you divide each side by -12 getting -17=x, which is the answer.<span />
Answer:
y = 5f(x)
Please see the picture below
Step-by-step explanation:
Given the function f(x) = |x|, to transform the function y=f(x) with a vertical scaling with scale factor of 5, you should multiply the function by 5 to obtain the result;
y = 5f(x)
Please see the picture below to see a graphic solution.
Answer:

Step-by-step explanation:
we know that
The area of the figure is equal to the area of rectangle plus the area of semicircle
step 1
Find the area of rectangle
The area of rectangle is equal to

where

substitute

step 2
Find the area of semicircle
The area of semicircle is equal to

we have
---> the radius is half the diameter

substitute


step 3
Find the area of the figure

I'm assuming the question is asking how tall the tree is if it has grown 2 3/4 inches.
The initial height of the tree is 74 3/8 inches and it grows 2 3/4 inches after six months. We can add these two numbers together to calculate the height of the tree now.

Since these are both mixed numbers, we must find a common denominator to add our fractions. 8 is the lowest common denominator for 4 and 8. So:

We can now add our whole numbers up (74 + 2) and add the numerators of the fractions together to get a single fraction (
).
74 + 2 = 76

Putting these two together, we get
, which is equal to
.
We can also turn this answer into an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator. So in this case:
77 x 8 = 616
616 + 1 = 617
The denominator stays the same, so our answer as an improper fraction would be
.
So the tree is
inches tall, or
inches tall.
Answer:
- as written, -57
- as perhaps intended, C. -11
Step-by-step explanation:
The expression shown evaluates as ...
7 + 32(-5 +1)/2 = 7 +32(-4)/2 = 7 -128/2 = 7 -64 = -57
_____
If we assume your "32" is supposed to be 3², or 3^2, then the expression evaluates differently:
7 +3²(-5 +1)/2 = 7 + 9(-4)/2 = 7 -36/2 = 7 -18 = -11 . . . . matches choice C
_____
When in doubt, you can have the Google calculator evaluate your expression. However, you do have to write it properly and with all the required parentheses.