The functions f(x)=√x^2+12x+36 and g(x)=x^3-12 are defined below. Which expression is equal to f(x) · g(x)? A.x^4-6x^3-12x+72 B.
x^4-12x^3+6x-72 C.x^4+6x^3-12x-72 D. 7x^3-12x-72
1 answer:
Answer:
C: x^4+6x^3-12x-72
Step-by-step explanation:
For the function : f(x)=√x^2+12x+36
It can be factorized to
f(x)=√(x+6)²
=x+6
f(x)*g(x)
=(x+6)(x^3-12)
Expand the brackets
=x^4-12x+6x^3-72
rearrange the numbers
x^4+6x^3-12x-72
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Attached a solution and showed work.
Answer:
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Answer:
9/10
Step-by-step explanation:
Hi!
Xian - 60 stamps
Kai - 76 stamps
60 + 12 = 72
76 + 8 = 84
72 + 12 = 84
84 + 8 = 92
84 + 12 = 96
92 + 8 = 100
96 + 12 = 108
100 + 8 = 108
After how many months will Xian and Kai have the same number of stamps?
4 months
How many stamps will each have?
108 stamps
Thats for questions 3 - 8 that you didn't answer. I'm not quite sure how to answer the last two though.
