Step-by-step explanation:
step 1. 17/21 - 2/10 = x (in order to subtract you need a common denominator)
step 2. (17/21)(10/10) - (2/10)(21/21) = x
step 3. 170/210 - 42/210 = x
step 4. 128/210 = 64/105 = x
step 5. x = 64/105.
Answer:
-7a+11
Step-by-step explanation:
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>
8 x 1 = 8
8 x 1/2 = 4
8+4 =12
therefore, 8 x 1 1/2 = 12
The volume of one die is the edge to the power of 3:
The total volume is five times the above volume:
Answer:
