I think its 19 1/4
sooo sorry if I am wrong
Answer:
y = 17/6 x - 40/3
Step-by-step explanation:
Slope-intercept form: y = mx + b
First, let's find the slope:
slope formula: (y2-y1) divded by (x2-x1)
(4, -2) and (8, -9)
(-9 - 8) divded by (-2 - 4) = 17/6
We found m, now we have to find b.
The new equation: y = 17/6 x + b
Insert any of the two points, in this case, I'll insert (4, -2)
-2 = 17/6 (4) + b
-2 = 68/6 + b
b = -2 - 68/6
b = -40/3
Overall equation: y = 17/6 x - 40/3
Answer: 16 is the constant of proportionality and the equation is y=16x
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
<span>1. We assume, that the number 150 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 150 is 100%, so we can write it down as 150=100%. </span>
<span>4. We know, that x is 16% of the output value, so we can write it down as x=16%. </span>
5. Now we have two simple equations:
1) 150=100%
2) x=16%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
150/x=100%/16%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 16% of 150
150/x=100/16
<span>(150/x)*x=(100/16)*x - </span>we multiply both sides of the equation by x
<span>150=6.25*x - </span>we divide both sides of the equation by (6.25) to get x
<span>150/6.25=x </span>
<span>24=x </span>
x=24
<span>now we have: </span>
<span>16% of 150=24</span>
The equation of the parabola will be y = x² – 6x + 9. Then the correct option is C.
The complete question is attached below.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertex of the parabola is at (3, 0). Then the equation of the parabola will be
y = (x – 3)² + 0
Then open the bracket, we have
y = x² – 6x + 9
Then the correct option is C.
More about the parabola link is given below.
brainly.com/question/8495504
#SPJ1
