Answer:
Minimum at (-4, -10)
Step-by-step explanation:
x² + 8x + 6
The coefficient of x² is positive, so the parabola opens upward, and the vertex is a minimum.
Subtract the constant from each side
x² + 8x = -6
Square half the coefficient of x
(8/2)² = 4² = 16
Add it to each side of the equation
x² + 8x + 16 = 10
Write the left-hand side as the square of a binomial
(x + 4)² = 10
Subtract 10 from each side of the equation
(x+ 4)² -10 = 0
This is the vertex form of the parabola:
(x - h)² + k = 0,
where (h, k) is the vertex.
h = -4 and k = -10, so the vertex is at (-4, -10).
The Figure below shows your parabola with a minimum at (-4, -10).
Answer: -0.5.
Step-by-step explanation:
The constant of variation k for the direct variation is given by:-
![k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}](https://tex.z-dn.net/?f=k%3D%20%5Cdfrac%7Bf%28x_2%29%7D%7Bx_2%7D%3D%5Cdfrac%7Bf%28x_1%29%7D%7Bx_1%7D)
The given table:
x f( x )
0 0
2 -1
4 -2
7 -3.5
Then,
![k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7B-1%7D%7B2%7D%3D%5Cdfrac%7B-2%7D%7B4%7D%3D%5Cdfrac%7B7%7D%7B-3.5%7D%3D-0.5)
Hence, the constant of variation k for the direct variation is -0.5.
7.8333333 will be the answer
Answer:
36
Step-by-step explanation:
18 miles per hour so for 2 hours which is double, she should have traveled 36 miles.
Good Luck!