Answer:

Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
It's been given the vertex of the parabola as (-2,18):

Now substitute the point (-5,0) and find the value of a:

Operating:


Solving for a:

a = -2
Thus, the equation of the quadratic function is:

The answer is x= 4 and x= -6
Answer:
Kathleen determines the four arithmetic means to be −2.8 , 1.4, 5.6, and 9.8.
Step-by-step explanation:
The overall interval is 14 -(-7) = 21 units in length. The four equally-spaced "means" divide the interval into 5 equal parts, each one of which is ...
21/5 = 4.2
The four means are ...
-7 +4.2 = -2.8
-2.8 +4.2 = 1.4
1.4 +4.2 = 5.6
5.6 +4.2 = 9.8
So firsty up, you need to have equal denominators IN order to do this equation.
1/3 and 5/12..
3x4=12
So the rule when changing denominators, you multiply 4 intop, so it will become 4/12, and 5/12 + 4/12 = 8/12, and,
8/12 + 1/12= 9/12 and 9/12 simplified is 3/4..
So the answer is 3/4.
Hope this helped.
Answer:
Please look at the attachment for step by step guide and solution.