Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
From this form,
you can determine the coordinates of the vertex to be (1, 3)
Answer:
Jared worked 11 days as full 8-hour days.
Step-by-step explanation:
We have:
First day = 2 h
Second day = 4 h
After that = 8 h each day
Since his paycheck shows 94 hours of work, we can find the number of days that he works 8-hour day:
Where x is the number of days that he works 8-hours.
Therefore, Jared worked 11 days as full 8-hour days.
I hope it helps you!
Hello here is a solution:
equation for the line is : y = ax+b a : slope
let A(3;-1) B(-5;3)
a= ((3)-(-1))/(-5)-(3))
a= 4/-8
a=-1/2
y=(-1/2) x+b
- 1 = (-1/2)(3)+b
b= 1/2
the equatdion is : y=(-1/2)x+1/2
Answer:y=-1/5-x
Step-by-step explanation:
Answer:
4x+9 if that's not what u needed I can graph it for you too
