Answer:x:
y=-5/4
Step-by-step explanation:
Vertex (1,-1)
focus(1,-3/4)
Axis of symmetry(X=1)
Answer:
2676 yards
Step-by-step explanation:
12*223 is 2676
if each costume requires 223 yards then all you do is multiply the numbers
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>
Step-by-step explanation:
1a. Just add both of them.
![8x - 3 + 4x + 5 = 12x + 2](https://tex.z-dn.net/?f=8x%20-%203%20%2B%204x%20%2B%205%20%3D%2012x%20%2B%202)
1b. We just subtract both of the functions.
![(8x - 3) - (4x + 5) =](https://tex.z-dn.net/?f=%288x%20-%203%29%20-%20%284x%20%2B%205%29%20%3D%20)
![4x - 8](https://tex.z-dn.net/?f=4x%20-%208)
1c.
![(8x - 3)(4x + 5)](https://tex.z-dn.net/?f=%288x%20-%203%29%284x%20%2B%205%29)
![32 {x}^{2} + 28x - 15](https://tex.z-dn.net/?f=32%20%7Bx%7D%5E%7B2%7D%20%20%2B%2028x%20-%2015)
1d.
![\frac{8x - 3}{4x + 5} = 2 - \frac{13}{4x + 5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8x%20-%203%7D%7B4x%20%2B%205%7D%20%20%3D%202%20-%20%5Cfrac%7B13%7D%7B4x%20%2B%205%7D%20)