Answer:
(x+6i)(x-6i)(x+1)
So the zeroes are 6i, -6i, -1
Step-by-step explanation:
Factor by grouping
h(x) = x^2(x+1) + 36(x+1)
h(x) = (x^2+36)(x+1)
Answer:
Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20,
Step-by-step explanation:
I searched it up : )
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
putting time into years for simplicity,
4 months ÷ 12 months/year = 0.333333 years,
then, solving our equation
I = $ 376.00
I = 18800 × 0.06 × 0.333333 = 375.999624
I = $ 376.00
The simple interest accumulated
on a principal of $ 18,800.00
at a rate of 6% per year
for 0.333333 years (4 months) is $ 376.00.
Answer: Jessica is correct
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Explanation:
- Antonio is not correct because 3 cubed is not 9. Instead, it's 3^3 = 27. Note that 3^3 = 3*3*3 = 27. Another example would be 4^3 = 4*4*4 = 64. The good news is that he has the correct starting expression because the r^3+9 portion is the sum of r cubed and 9, then we double it.
- Jessica is correct. She has the correct starting expression and has evaluated 3^3 correctly. Also, the final answer 72 is correct as well.
- Maria doesn't have the correct starting expression.
- The same goes for Mark. His starting expression isn't correct.
Answer: (3p - 1/6)^3
step-by-step explanation:
27p^3 - 1/216 - 9/2p^2 + 1/4p
= (3p)^3 - (1/6)^3 - 9/2p^2 + 1/4p
= (3p - 1/6)[(3p)^2 + p/2 + 1/36)] - (3p/2)(3p - 1/6)
= (3p - 1/6)(9p^2 + p/2 + 1/36 - 3p/2)
= (3p - 1/6)(9p^2 - 2p/2 + 1/36)
= (3p - 1/6)(9p^2 - p + 1/36)
= (3p - 1/6)(3p - 1/6)(3p - 1/6)
= (3p - 1/6)^3
