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)
Let, the angles = a, b
It is given that, a+b /5 = 24
a + b = 120 --- equation (1)
a-b/2 = 14
a - b = 28 ---- equation (2)
a = 28 + b
Now, substitute this value of b in equation (1),
28 + b + b = 120
2b = 120 - 28
b = 92/2
b = 46
Now, a = 28 + b = 28 + 46 = 74
In short, Your Angles are 74 and 46
Hope this helps!
The rate of change is the slope.
f(x) is the same as y...
f(x) = 3x + 9.....y = 3x + 9....and in y = mx + b form, the rate of change(slope) can be found in the m position.
y = mx + b
y = 3x + 9....so the slope or rate of change is 3...not 9...so answer is false
If we take the paycheck amount of $1020 and subtract it by the weekly salary of $300.
$1020 - $300 = $720
We get $720 in sale commissions. So to get the number of sales, you divide the $720 by the $40 per sale commission.
$720/$40 = 18
Therefore, the sales Salesman B has for the week is 18.
