Answer:
c
Step-by-step explanation:
A is True
B is True
D is true
We are given the following quadratic equation
![f(x)=2x^2+7x-10](https://tex.z-dn.net/?f=f%28x%29%3D2x%5E2%2B7x-10)
The vertex is the maximum/minimum point of the quadratic equation.
The x-coordinate of the vertex is given by
![h=-\frac{b}{2a}](https://tex.z-dn.net/?f=h%3D-%5Cfrac%7Bb%7D%7B2a%7D)
Comparing the given equation with the general form of the quadratic equation, the coefficients are
a = 2
b = 7
c = -10
![h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75](https://tex.z-dn.net/?f=h%3D-%5Cfrac%7Bb%7D%7B2a%7D%3D-%5Cfrac%7B7%7D%7B2%282%29%7D%3D-%5Cfrac%7B7%7D%7B4%7D%3D-1.75)
The y-coordinate of the vertex is given by
![\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28x%29%3D2x%5E2%2B7x-10%20%5C%5C%20f%28-1.75%29%3D2%28-1.75%29%5E2%2B7%28-1.75%29-10%20%5C%5C%20f%28-1.75%29%3D2%283.0625%29%5E%7B%7D-12.25-10%20%5C%5C%20f%28-1.75%29%3D6.125%5E%7B%7D-12.25-10%20%5C%5C%20f%5Cmleft%28-1.75%5Cmright%29%3D-16.13%20%5Cend%7Bgathered%7D)
This means that we have a minimum point.
Therefore, the minimum point of the given quadratic equation is
-20+14m=10m+16
-10m. -10m
-20+4m=16
+20. +20
4m=36
/4. /4
m=9
Answer:
ok
Step-by-step explanation: