Answer:
to find the x-intercept, set y to 0.
0 = 1/5x - 7
7 = 1/5x
35 = x
(35, 0)
to find the y-intercept, set x to 0.
y = 1/5(0) - 7
y = 0 - 7
y = -7
(0, -7)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
- (h , k) are the coordinates of the vertex point
- a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
![h=\frac{-b}{2a}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-b%7D%7B2a%7D)
- k is the value of y when x = h
∵ y = x² + 16x - 7
∵ y = ax² + bx + c
∴ a = 1 , b = 16 , c = -7
∵ ![h=\frac{-b}{2a}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-b%7D%7B2a%7D)
∴ ![h=\frac{-16}{2(1)}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B-16%7D%7B2%281%29%7D)
∴ h = -8
To find k substitute y by k and x by -8 in the equation above
∵ k is the value of y when x = h
∵ h = -8
∴ k = (-8)² + 16(-8) - 7 = -71
∵ The vertex form of the quadratic equation is y = a(x - h)² + k
∵ a = 1 , h = -8 , k = -71
∴ y = (1)(x - (-8))² + (-71)
∴ y = (x + 8)² - 71
∵ (h , k) are the coordinates of the vertex point
∵ h = -8 and k = -71
∴ The vertex is (-8 , -71)
The vertex form of the function is y = (x + 8)² - 71
The vertex is (-8 , -71)
Learn more:
You can learn more about quadratic equation in brainly.com/question/9390381
#LearnwithBrainly
Answer:
B, C
Step-by-step explanation:
graph the following lines with negative slopes and compare:
y = -x + 1
y = -20x + 2
Answer:
1. 30%
2. 55%
Step-by-step explanation:
1. 12/40 × 100
=1200/40
=30%
2. 33/60 × 100
=3300/60
=55%
Answer:
Ostrich meat is a "red meat" similar in color and taste to beef. However, it is lower in fat grams per serving compared to chicken and turkey.
Step-by-step explanation:
Hope this helped??!! :3