Answer:

Step-by-step explanation:
Calculate for the value of
:

-Use <u>Distributive Property</u> on both left and right:


-Take
and subtract
:


-Add
to both sides:


-Take
and divide on both sides:


Therefore, the value of
is
.
Answer:

Area is greater than
sq ft.
Step-by-step explanation:
Length of rectangular sign board =
ft
Width of rectangular sign board =
ft
Area of a rectangle is given by the formula:

To find the area, we are going to multiply
with
.
is greater than 1.
Therefore the multiplication will be greater than
.
Hence, we can say that area will be greater than
sq ft.
Area of the sign:

Answer:
A is correct
Step-by-step explanation:
Elimination, Multiply the second equation by -1, then add the equations together.
Answer:
B
Step-by-step explanation:
This was originally a third degree polynomial:
, to be exact.
When you divide by -3, you are basically trying to determine if x + 3 is a zero of that third degree polynomial. The quotient is always one degree lesser than the polynomial you started with, and if there is no remainder, then x + 3 is a zero of the polynomial and you could go on to factor the second degree polynoial completely to get all 3 solutions. To perform the synthetic division, you always first bring down the number in the first position, in our case a 2. Then multiply that 2 by -3 to get -6.
-3| 2 4 -4 6
-6
2 -2
So far this is what we have done. Now we multiply the -3 by the -2 and put that up under the -4 and add:
-3| 2 4 -4 6
-6 6
2 -2 2
Now we multiply the -3 by the 2 to get -6 and put that up under the 6 and add:
-3| 2 4 -4 6
-6 6 -6
2 -2 2 0
That last row gives us the depressed polynomial, which as stated earlier here, is one degree less than what you started with:
