Answer:
Step-by-step explanation:
f(-2)= 4(-2)^2 + 3 = 4(4) + 3 = 16 + 3 = 19
g(19) = 3(19) + 2 = 57 + 2 = 59
g(-2)= 3(-2) + 2 = -6 + 2 = -4
f(-4)= 4(-4)^2 + 3 = 64 + 3 = 67
Answer:
x=16
Step-by-step explanation:
y = 1/2 x -3
Let y =5
5 = 1/2 x -3
Add 3 to each side
5+3 = 1/2 x -3+3
8 = 1/2x
Multiply each side by 2
8*2 = 1/2x*2
16 =x
Answer:
(1.37) AUB = { 1,2,3,4,5,6}
(1.38) AUC = { 1,2,3,4,5 }
(1.39)BUC = { 1,2,3,4,5,6}
(1.40) { 2,4 }
(1.41) { 1,3,5 }
(1.42) { phi }
(1.43) AU(BUC) = { 1,2,3,4,5,6 }
(1.44) { phi }
(1.45) {1,2,3,4,5}
(1.46) { 1,2,3,4,5 }

Step-by-step explanation:

Lila did it correctly. The answer is 324
Following PEMDAS, we first focus on the parenthesis. So we simplify 9-3 to get 6
So we go from
18*4^2+(9-3)^2
to
18*4^2+6^2
The next step is applying exponents. In this case, squaring the terms, so we go from
18*4^2+6^2
to
18*16+36
Next is multiplying
18*16+36
turns into
288+36
Finally, add up 288 and 36 to get 288+36 = 324
That confirms that Lila is correct
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The error that Rob made is that he computed 18*4^2+9^2-3^2 but it is NOT correct. Saying (x-y)^2 = x^2-y^2 isn't a true equation for all x and y. Again you have to simplify what is in the parenthesis first, and then you can square it. Or you must use the FOIL rule to expand out (9-3)^2