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>
Perimeter = sum of all 3 sides in a triangle
so
x + x - 4 + 12= 26
answer
B. <span>x + x - 4 + 12 = 26</span>
Answer: probability for the orange marble is 23/78 ; green= 20/78; red=20/78
Step-by-step explanation:there are 23 orangebmarbles out of all marbles which is 78 marbles and it doesn't help same for red and green marbles they both are 20 out of 78 marbles which is the total . So that is the probability of all the total marbles
Answer: The top speed of a zebra is 0.36 feet per second than a wildebeest.
First, we can start by subtracting the top speed of each animal. 64.4 - 64 = 0.4 The zebra is 0.4 km/h faster than the wildebeest.
Now, we just have to move from km/h to feet per second. To start, we need to divide by 3600 because there are 3600 seconds in an hour. Next, multiply by 0.62137 because there are 0.62137 km per mile. Finally, convert the miles to feet by multiply by 5280 (the number of feet per mile).
The result is a speed of about 0.36 feet per second.
Answer:
Slope is -2
Step-by-step explanation:
