From factoring, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2).
<h3>Factoring</h3>
In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).
Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).
Thus, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2)
Learn more about the factoring here:
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the complete question in the attached figure
Volume of the sand V=(1/3)*h*π*r²
we have that
h=30 mm
r=10 mm
v=(1/3)*30*π*10²=1000≈3140 mm³
the rate is 50 mm³/seg
50 mm³--------------------------------------> 1 seg
3140 mm³-------------------------------- X
x=3140/50=62.8 seg
the answer is 62.8 seg
Answer:
24°
Step-by-step explanation:
Let's represent the unknown angle with x
So ;
66+x=90
x=90-66
x=24°
Therefore 24° is the missing angle.
Let's add the fractions first and then we can estimate the sum.
= 31/4 + 17/3 + 8/18
change to common denominators
= 279/36 + 204/36 + 16/36
add numerators only
= 499/36 or 13 31/36 or 13.86
ANSWER: (B) 13 is the best estimate of the answer. Normally we round up to 14 with a number like 13.86, but since that is not a choice, we can estimate 13 as the answer.
Answer:
x>-8
Step-by-step explanation:
-9 <3x +15
-24 <3x
-8<x
