The expression that represents the volume would be: <span>C) 6x^3+39x^2+54x</span>
Proof of the calculation:
V = Lwh
V = (x+2) (3x) (2x+9)
V= (3x^2 + 6x) (2x + 9)
V = (6x^3 + 27X^2 +12x^2 + 54x)
V = 6x^3 + 39x^2 + 54x
The third choice is the correct one
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
-2x > 12
x < -6, you have to flip the inequality when you multiply or divide by a negative
9514 1404 393
Answer:
- 4(3a^2 +6a +5)
- a = 3, the numbers are 6, 8, 10
Step-by-step explanation:
1. The sum of squares is ...
(2a)^2 +(2a +2)^2 + (2a +4)^2 = 4a^2 +(4a^2 +8a +4) +(4a^2 +16a +16)
= 12a^2 +24a +20 . . . . . collect terms
= 4(3a^2 +6a +5) . . . . . . factor out 4
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2. If the sum of the numbers is 24, we have ...
2a +(2a +2) +(2a +4) = 24
6a +6 = 24 . . . . . collect terms
a +1 = 4 . . . . . . . .divide by 6
a = 3 . . . . . . . subtract 1
2a = 6
2a +2 = 8
2a +4 = 10
The numbers are 6, 8, 10.
<em>Check</em>
The sum of squares is ...
4((a +2)(3a) +5) = 4(5(3·3) +5) = 4(50) = 200 . . . . as required
Answer:
The answer is step 5
Step-by-step explanation:
flip the sign
