Answer:
see explanation
Step-by-step explanation:
Given
y = x² - 2x - 8
To find the x- intercepts let y = 0 , that is
x² - 2x - 8 = 0 ← in standard form
(x - 4)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 2 = 0 ⇒ x = - 2
x- intercepts : x = - 2, x = 4
The x- coordinate of the vertex is mid way between the x- intercepts, that is
= 
= 
= 1
Substitute x = 1 into the equation for corresponding y- coordinate
y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9
vertex = (1, - 9 )
Answer: 16 red velvet cupcakes.
Step-by-step explanation:
To solve this problem you can apply the following proccedure:
- Let's call the number of red velvet cupcakes in a box that has 24 chocolate cupcakes: 
- Based on the information given in the problem, you can set up the following proportion and Solve for <em>:</em>
There are 16 red velvet cupcakes in a box that has 24 chocolate cupcakes.
Answer:
A: -11
B: Two complex solutions
Step-by-step explanation:
The discriminant of this equation is 3^2-20=9-20=-11. Since the discriminant is negative, its square root will be an imaginary number, and there will be two complex solutions. Hope this helps!
Well there are 8 years that show over 90°. Using those statistics you can show that as 8/15 for a probability.
Answer:
The system has one solution.
Step-by-step explanation:
To find the number of solutions of the system, we equal both equations for y.
If we have ax = b, in which both a and b are different of 0, we have one solution.
If both a and b are 0, we have infinite solutions.
If a is 0 and b is not, there are no solutions.
y=6/7x-8 and y=7/9x+10/9
So
Both a and b are different of 0, so the system has one solution.
