Hello!
You find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula
<span>V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.
</span>
Solution:
So in this Case, we can see that the Length = x, Width = x², and Height = 5x2 + 4x + 1. Remember: (V = l . w . h)<span>
Use the formula:</span>
<span>V = l ⋅ w ⋅ h,=x×x²×(5x²+4x+1)
</span>
<span>=x³×(5x²+4x+1)
</span>
=5x^5+4x^4+x³
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Answer:
1. 3x²+5x-14/(3x-5)(x-1)
2. x=1.23013 and -1.8968
Step-by-step explanation:
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<h3>
Answer: -7</h3>
Explanation:
Pick any term. Subtract off the previous one to find the common difference.
- term2 - term1 = 6-13 = -7
- term3 - term2 = -1-6 = -7
- term4 - term3 = -8-(-1) = -8+1 = -7
And so on. You only need to pick one of those to show as your steps to your teacher. However, doing all three subtractions is a good way to get practice in seeing how we have an arithmetic sequence. The common difference must be the same each time.
We subtract 7 from each term to get the next term, i.e. we add -7 to each term to get the next one.
Answer:
15
Step-by-step explanation:
1) multiply numerator x numerator and denominator x denominator
- 24/12
2) simplify the fraction
-24 : 12 = -2
12 : 12 = 1
-2/1 = -2
3) inverte the therms of -2/15 and change the sign of operation from : to x
- 2 x (-15/2)
4) multiply the numerators remembering that minus x minus = +
30/2
5) simplify the fraction
30 : 2 = 15
2:2 = 1
15/1 = 15
The savings is the amount taken off or 32% of 150
32% of 150 is 0.32 times 150=48
savings is $48
or you can do
150/100=x/32
cross multiply to get
x=48
so savings is $48