His answer was (x- +2) (x^2-9)
a) His mistake was he has x^2 in one of the parenthesis, to be fully factored you cannot have an exponent as part of the answer.
b) x^3 - 9x + 2x^2 -18
Reorder the terms:
x^3 +2x^2 -9x -18
Group the first two terms and the last two terms
(x^3 + 2x^2) -9x-18
Factor out the greatest common factor from each group:
x^2(x+2) - 9(x+2)
Factor the polynomial by factoring out the common factor once x+2:
(x+2) (x^2-9)
Rewrite 9 as 3^2:
(x+2) (x^2-3^2)
Factor one last time:
(x+2) (x+3) (x-3)
Answer:
The length of PQ is 3 Length of QR is 2
Step-by-step explanation:
Step-by-step explanation:
there must be something missing here (I guess, the graph).
because just by looking at the 2 points, all 4 answer options could be wrong, or all 4 could be right.
just basing on the point coordinates I see the functional values (y) go from 2 to 4.
but we have no clue about what that curved function does in between these 2 points.
please provide the full information.
Answer:
The height is 16/80
Step-by-step explanation:
Standard Form looks like this:

Also, A cannot be negative and there are no fractions in Standard Form.
Now that we know the rules of Standard Form, let's get x and y on one side.
-2/3y = 2 + 8/15x
Subtract 8/15x from both sides.
-8/15x - 2/3y = 2
Multiply 2/3 by 5/5 to get a common denominator.
-8/15x - 10/15y = 2
Multiply everything by 15 to rid of the fractions.
-8x - 10y = 30
Multiply everything by -1 to make A positive.
8x + 10y = -30
8x + 10y = -30