Answer: C: y = 4x + 20
Step-by-step explanation:
4x is multiplying 4 by the number of levels, and you add the castles he's already found which is 4*5 =20.
X = small boxes and y = large boxes
x + y = 17.....x = 17 - y
3x + 14y = 183
3(17 - y) + 14y = 183
51 - 3y + 14y = 183
-3y + 14y = 183 - 51
11y = 132
y = 132/11
y = 12 <=== large boxes (y) cost $ 12
x + y = 17
x + 12 = 17
x = 17 - 12
x = 5 <=== small boxes (x) cost $ 5
Answer:
Each item could be included in a set or not included. That gives 2^5 = 32 ways to choose sets, including 1 set with no items, 5 sets of 1 item, 10 sets of 2 items, 10 sets of 3 items, 5 sets of 4 items, and 1 set of 5 items.
Answer: (f·g)(x) = -5x³ - 31x² + 62x + 18
(f·g)(-1) = -70
(fog)(x) = 25x² - 130x + 155
(fog)(-1) = 310
<u>Step-by-step explanation:</u>
f(x) = x² + 8x + 2 g(x) = -5x + 9
(f·g)(x) = (x² + 8x + 2)(-5x + 9)
= -5x³ + 9x²
- 40x² + 72x
<u> - 10x + 18</u>
= -5x³ - 31x² + 62x + 18
(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18
= -5(-1) - 31(1) - 62 + 18
= 5 - 31 - 62 + 18
= -70
****************************************************************************************
(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2
= 25x² - 90x + 81
- 40x + 72
<u> + 2</u>
= 25x² - 130x + 155
(fog)(-1) = 25(-1)² - 130(-1) + 155
= 25 + 130 + 155
= 310
<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>
The student council is raising money by selling what?
