ANSWER
The other zero is
![x = - 10](https://tex.z-dn.net/?f=x%20%3D%20%20-%2010)
EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
![x = - 3](https://tex.z-dn.net/?f=x%20%3D%20%20-%203)
We were also given that, one of the zeroes of the quadratic equation is
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
Let the other zero of the quadratic equation be
![x = p](https://tex.z-dn.net/?f=x%20%3D%20p)
,then, we apply the midpoint formula to find the value of
![p](https://tex.z-dn.net/?f=p)
Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
![\frac{x_1 + x_2}{2} = axis \: of \: symmetry](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx_1%20%2B%20x_2%7D%7B2%7D%20%20%3D%20axis%20%5C%3A%20of%20%5C%3A%20symmetry)
We substitute to obtain,
![\frac{p + 4}{2} = - 3](https://tex.z-dn.net/?f=%20%5Cfrac%7Bp%20%2B%204%7D%7B2%7D%20%20%3D%20%20-%203)
We multiply through by 2 to get,
![p + 4 = - 6](https://tex.z-dn.net/?f=%20p%20%2B%204%20%3D%20%20-%206)
This implies that,
![p = - 6 - 4](https://tex.z-dn.net/?f=p%20%3D%20%20-%206%20-%204)
In order to find the y-intercept, replace x by 0.
So, for first option:
f(0) = 7(1) - 2 = 5
For second option:
f(0) = -3(1) - 5 = -8
For third option:
f(0) = 5(1)-1=4
For Fourth option:
f(0) = -5(1) + 10 = 5
For Fifth Option:
f(0) = 2(1) + 5 = 7
So, option 1 and 4 have the y-intercept (0,5)
This is a differnce of 2 perfect squares
a²-b²=(a-b)(a+b)
so
9x²-64=(3x)²-(8)²=(3x-8)(3x+8)
factors are (3x-8) and (3x+8)
Answer:
131.25= 17.50+8.75x is the equation
Step-by-step explanation:
solve it to find x
131.25=17.50+8.75x
(subtract 17.50 from both sides)
113.75=8.75x
(divide both sides by 8.75)
13=x
Answer: 9.375
Step-by-step explanation: 24 x f(x) = 225
You divide 225 by 24