Answer: Infinite solutions
Step-by-step explanation:
Solve4x+6y=9for x:
4x+6y=9
4x+6y+−6y=9+−6y(Add -6y to both sides)
4x=−6y+9
4x
/4
=
−6y+9
/4
(Divide both sides by 4)
x=
−3
/2
y+
9
/4
Substitute
−3
/2
y+
9
/4
for x in 12x+18y=27:
12x+18y=27
12(
−3
/2
y+
9
/4
)+18y=27
27=27(Simplify both sides of the equation)
27+−27=27+−27(Add -27 to both sides)
0=0
The large rectangle is 10*20, or 200
the "hole" in the middle is 6*14, or 84
200-84=116, your answer
V = bh
16y^4 + 16y^3 + 48y^2 = 16y^2(y^2 + y + 3)
Therefore, the prism has a base area of 16y^2 square units and height of y^2 + y + 3 units
Answer:
3x+18
Step-by-step explanation:
multiply it out to get 3x+18
<span>We have the following polynomial:

The problem states that one root is -3. Thus, it is true that

is a factor of the polynomial. Given that this is fulfilled, it is also true that:
</span>

<span>
We can find Q(x) by applying Ruffini's rule, thus:
</span>

<span>
Therefore:
The roots of this polynomial can be get as follows:
These are the roots along with

. Finally, the factored polynomial can be written as follows:

</span>