Answer:
3
Step-by-step explanation:
There is no information given about point V, so any answer will do for the question asked.
If we assume the intent is to ask about the image of point Z, then its coordinates will be 0.8 times those of point Z.
Z' = 0.8×(5, -4)
Z' = (0.8×5, 0.8×(-4)) = (4, -3.2)
The appropriate choice seems to be
C (4, -3.2)
12 = 30% of what
12 = 0.30x
12 / 0.30 = x
40 = x.......so 12 is 30% of 40
ANSWER
or 
EXPLANATION
For 
We make y the subject to obtain,
We can easily graph this function, because we just have to transform the graph of 
by shifting the intercept up to 
.
As for the straight line, 
,
We find the intercepts as follows,
When 
.
When 
.
We plot the points 
and
.
We now draw the two graphs on the same graph sheet. The intersection of the two graphs gives the solution to be
or
See graph
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
