Answer:
I believe they are correlated: positive correlation.
Step-by-step explanation:
The higher the repair bills of a car, it means maybe having bad fuel injectors, will cause bad mileage allowing the car to consume more fuel. It is like say the inexorable decline of a car in areas including minor wears and incorrect adjustment etc impairs fuel economy. Thus, the higher the repair bills, the higher the fuel consumption. This is an example of a positive correlation. This means the value of y increases as there is an increase in the value of x.
Best Answer: <span> y=18x^2+9x+14
y=18(x^2+(1/2)x + 1/16) + 14 - 9/8
y = 18(x + 1/4)^2 + 103/8
For y = a*(x - h)^2 + k, (h, k) the vertex
Your vertex: (- 1/4, 103/8)
Equation of axis of symmetry is x = (x-coordinate of vertex) OR x = - 1/4
y-intercept is y-value when x = 0, y = 14
x-intercept(s) do not exist for this upward opening parabola whose vertex y-value is above the x-axis.
The minimum of the function is the y-value of the vertex, 103/8.
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Seems like Dizzle was in too much of a hurry and Jeff just copied Dizzle's answer.
The correct way of doing what dizzle TRIED to do:
For y = a*x^2 + b*x + c, the vertex occurs when x = - b / (2*a)
y=18x^2+9x+14
a = 18
b = 9
- b / (2*a) = - (9) / (2*18) = - 9 / 36 = - 1/4
Take that value for x, evaluate function at that value to get y.
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Was so giddy about dizzle's faux pas that I originally did this work. May as well share it:
x-intercept(s) can be found by setting function equal to zero and solving:
y = 18(x + 1/4)^2 + 103/8
0 = 18(x + 1/4)^2 + 103/8
18(x + 1/4)^2 = - 103/8
(x + 1/4)^2 = - 103/144
x + 1/4 = +/- i*sqrt(103)/12
x = - 1/4 +/- i*sqrt(103)/12 OR x = [- 3 +/- i*sqrt(103)] / 12
These are the roots of the equation f(x) = 0
Since the roots are complex, there are no x-intercepts. The function is entirely above the x-axis. </span>
0.0850284. Move the decimal back two spaces from original spot. You would move forward if it was a positive exponent.
First make the dash an x. Then move over to the other side of the = so it looks like this:
-5=-13-x
You take -13 to the other side of the equal sign so it looks like this:
-5+13=-x
Then:
8=-x or x=-8
Hopefully that makes sense.
Answer = 5p − 4 (third choice)
"4 less than the product of 5 and some number = 5p − 4