Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Answer:
The number is -1
Step-by-step explanation:
The equation for the first part is (2n+7)2. This is because "twice a number" is 2n and "7 is added" will make it 2n+7. The "sum is multiplied by two" Is multiplying everything by two. This will make it (2n+7)
The second part is -8n+2. Since a number is multiplied by negative eight it will be -8n. Then it is added by two.
Both equation equal each other the overall equation will be (2n+7)2=-8n+2
You will distribute. making it 4n+14=-8n+2
Add 8n to both sides making it 12n+14=2
subtract 14 from both sides making it 12n=-12
Divide both sides by 12 . making it number=-1
Answer:
3x - 6
Step-by-step explanation: