Factor:
3x^2 + 27
= 3(x^2 + 9)
Answer is 3(x^2 + 9), when factored.
A) (3x + 9i)(x + 3i)
= (3x + 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + (9i)(x) + (9i)(3i)
= 3x^2 + 9ix + 9ix + 27i^2
= 27i^2 + 18ix + 3x^2
B) (3x - 9i)(x + 3i)
= (3x + - 9i)(x + 3i)
= (3x)(x) + (3x)(3i) + ( - 9i)(x) + (- 9i)(3i)
= 3x^2 + 9ix - 9ix - 27i^2
= 27i^2 + 3x^2
C) (3x - 6i)(x + 21i)
= (3x + - 6i)(x + 21i)
= (3x)(x) + (3x)(21i) + (- 6i)(x) + ( -6i)(21i)
= 3x^2 + 63ix - 6ix - 126i^2
= - 126i^2 + 57ix + 3x^2
D) (3x - 9i)(x - 3i)
= (3x + - 9)(x + - 3)
= (3x)(x) + (3x)( - 3i) + (- 9)(x) + ( - 9)( - 3i)
= 3x^2 - 9ix - 9x + 27i
= 9ix + 3x^2 + 27i - 9x
Hope that helps!!!
Answer:
f = 4
Step-by-step explanation:
60= 15f
divide both side by 15
f = 4
The answer is 11 miles per hour
Immigration-Noun
Stereotypes-Noun
Refugee-Noun
Emigration-Noun
Deportation -Noun
Assimilation-Noun
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Ellis island-Noun
Statue of Liberty Noun
9514 1404 393
Answer:
-2018
Step-by-step explanation:
The n-th term is ...
an = a1 +d(n -1)
So, the given terms are ...
-53 = a1 +12d
-128 = a1 +37d
Subtracting the first from the second gives ...
(a1 +37d) -(a1 +12d) = (-128) -(-53)
25d = -75
d = -3
The 668th term will be ...
a668 = a1 +d(668 -1) = a1 +667d = (a1 +37d) +630d
a668 = -128 +630(-3) = -128 -1890 . . . . substitute for a38
a668 = -2018
