Answer:
x³ + 7x² + 15x + 9
Step-by-step explanation:
Given that the volume (V) of a rectangular pyramid is
V =
A h ( A is the area of base and h the height ), then
V =
(3x² + 12x + 9)(x + 3) ← factor out 3 from A
=
× 3(x² + 4x + 3)(x + 3)
= (x² + 4x + 3)(x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x² (x + 3) + 4x(x + 3) + 3(x + 3) ← distribute parenthesis
= x³ + 3x² + 4x² + 12x + 3x + 9 ← collect like terms
= x³ + 7x² + 15x + 9
Thus the expression for the volume is
V = x³ + 7x² + 15x + 9
Answer: 38 over 49 can be written as 38/49. When divided, you will get 0.77551020408. It takes lots of regrouping, but it ends eventually.
If you are reducing it as a fraction, it is not possible because there is no other number to reduce it, so it will be in it's simplest form already.
Just distribute
<span><span><span><span><span><span><span><span><span><span><span>900<span>x</span></span></span></span></span></span></span></span></span></span></span></span>²<span><span><span><span><span><span><span><span><span><span><span>y</span></span></span></span></span></span></span></span></span></span></span>² <span><span><span><span><span><span><span><span><span>+ </span>−<span><span><span>2100x</span><span>y</span></span></span></span></span></span></span></span></span></span></span>²<span><span><span><span><span><span><span><span><span>z </span></span>+ </span>−<span><span><span>70x</span><span>y</span></span></span></span></span></span></span></span></span>²<span><span><span><span><span><span><span><span>z^103 </span></span></span>+ </span>−<span><span><span>107x</span><span>y</span></span></span></span></span></span></span>²<span><span><span><span><span><span>z^30 </span></span></span>+ </span>−<span><span>7x</span><span>z</span></span></span></span>³ <span>+ </span>−<span><span>70y</span><span>z
</span></span>> <span><span><span><span><span>−<span><span><span>70x</span><span>y</span></span></span></span></span></span></span></span>²<span><span><span><span><span><span><span>z^103 </span></span></span>− <span><span><span>107x</span><span>y</span></span></span></span></span></span></span>²<span><span><span><span><span><span>z^30 </span></span></span>+ <span><span>900<span>x</span></span></span></span></span></span>²<span><span><span><span><span>y</span></span></span></span></span>²<span><span><span><span><span> </span></span></span>− <span><span><span>2100x</span><span>y</span></span></span></span></span>²<span><span><span>z </span></span>− <span><span>7x</span><span>z</span></span></span>³<span><span><span> </span></span></span>− <span><span>70y</span><span>z</span></span>
Answer: x= -0.3,2
Step-by-step explanation:
Combine your like terms then solve.
Since 4>1, this represents exponential growth.