Answer:
The different single-scoop ice-cream cones can you buy from this vendor=12
Step-by-step explanation:
Given that a vendor sells ice cream from a cart on the boardwalk. He offers vanilla, chocolate, strawberry, blueberry, and pistachio ice cream, served on either a waffle, sugar, or plain cone.
Different types of icecreams are 4
Types of cones are 3
For each ice cream say we can have either waffle, sugar or plain cone.
i.e. for each type of ice cream, we have 3 different cones.
Hence for 4 types of ice creams we have 3*4=12 different single scoop ice creamcones.
Since 3 x 3 = 9, 9 is divisible by 3. So, 3 would be a factor of any number divisible by 9
To find the slope take two ordered pairs and put them in form of x2-x1/y2-y1 and then you can find the slope.
(-2,17) (-3,20)
(-2)-(-3) = 1
(17)-(20)=-3
slope is 1/-3
2.5 is 10% of 25. 2.5 * 6 = 15 = 60%
25 - 15 = 10. You have 10 words left to memorize.
I hope this helps.
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>
