SOLUTION: Consider the operation # such that a # b = –3a + b^2. Find (–2 # 3) # 6. A. –9 B. 9 C. 15 D. 27 E. 45

Algebra.Com
Question 252236: Consider the operation # such that a # b = –3a + b^2. Find (–2 # 3) # 6.
A. –9 B. 9 C. 15 D. 27 E. 45

Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
a # b means -3a + b^2

find (-2 # 3) # 6

you would first solve what is in the parentheses.

in the equation a # b = (-3a + b^2), you would replace a with -2 and b with 3 to get:

-3*-2 + 3^2 = 6 + 9 = 15.

your equation (-2 # 3) # 6 becomes:

15 # 6.

in the equation a # b = (-3a + b^2), you would replace a with 15 and b with 6 to get:

-3*15 + 6^2 = -45 + 36 = -9.

your answer would be -9 which would be selection A.


RELATED QUESTIONS

consider the series :27, 24, 20, 15, 9, 2, what come next ? A. 0.5 B. -6 C. -1 D. 0 (answered by JenniferTutors)
log base 3 27 = (A) 1/3 (B) 2 (c) 3 (d) 9 (E) 81 (answered by tommyt3rd)
1) What is the monomial if a cube of a monomial is: a. (1/8)a^(27) b.... (answered by stanbon)
Log_3 27 = (a) 1/3 (b) 2 (c) 3 (d) 9 (e) 81 (answered by Cromlix,Alan3354)
27 /45 = A /5 = 9 /B = C/225 = 60 /D find (C - B) / (A x D) A. 13,000 B. 4000 C.... (answered by checkley77)
--> represents an operation that includes addition and subtraction. Example: 5-->3=6;... (answered by Edwin McCravy,ikleyn)
If {{{a-b=-6}}} and {{{b+c=9}}}, find the value of... (answered by ikleyn)
If {{{a-b = -6}}} and {{{b + c = 9}}}, find the value of {{{3a^2 - b^2 -... (answered by ikleyn)
Consider the series: 3, 4, 6, 9, 13, _____ what comes next? A. 15 B. 16 C. 17 D.... (answered by asuar010)