Answer:
2
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Y=21/7
Explanation
7(y/7)=7(3/17)
y=7(3/17)
Multiple
y=21/7
Answer:
.
Step-by-step explanation:
Since vertices lie on y-axis. So, it is a vertical parabola of the form
where, (h,k) is center,
is focus and
is vertex.
Center is (0,0). So, h=0 and k=0.
Foci are
. So
.
Vertices are
. So
.
We know that,
Put h=0,k=0, a=8 and b=3 in equation (1).
Therefore, the required equation is
.
The equivalent expression is (g - f) (3) = 23
<em><u>Solution:</u></em>
Given that,
![f(x) = 4 - x^2\\\\g(x) = 6x](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%20-%20x%5E2%5C%5C%5C%5Cg%28x%29%20%3D%206x)
To find: (g - f)(3)
We know that,
(g - f)(x) = g(x) - f(x)
Substituting values we have:
![(g - f) (x) = (6x) - (4 - x ^ 2)](https://tex.z-dn.net/?f=%28g%20-%20f%29%20%28x%29%20%3D%20%286x%29%20-%20%284%20-%20x%20%5E%202%29)
Rewriting we get,
![(g - f) (x) = x ^ 2 + 6x - 4](https://tex.z-dn.net/?f=%28g%20-%20f%29%20%28x%29%20%3D%20x%20%5E%202%20%2B%206x%20-%204)
Now let us evaluate for x = 3
Substitute x = 3 in above equation
![(g - f) (3) = 3^ 2 + 6(3) - 4\\\\(g - f) (3) = 9 + 18 - 4\\\\(g - f) (3) = 23](https://tex.z-dn.net/?f=%28g%20-%20f%29%20%283%29%20%3D%203%5E%202%20%2B%206%283%29%20-%204%5C%5C%5C%5C%28g%20-%20f%29%20%283%29%20%3D%209%20%2B%2018%20-%204%5C%5C%5C%5C%28g%20-%20f%29%20%283%29%20%3D%2023)
Therefore the equivalent expression is (g - f) (3) = 23