Answer:
84
Step-by-step explanation:
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>
Answer:
Step-by-step explanation:
-2/5 - 4/5 + -9/10
= -2/5 - 4/5 - 9/10
= {-2(2) -4(2) - 9)/10
= (-4 - 8 - 9)/10
= -21/10
= -2 1/10
Numbers 3,4,5 make this inequality true
8+3=11
8+4=12
8+5=13
The diameter of the tank = 9 feet
So radius is = 
feet
Height of the tank = 25 feet
The top of the tank must be circular with same radius as 4.5 feet
So, to calculate the area of the tank and top, we will add the curved or lateral surface area of tank and area of circle
Curved or lateral Surface area of cylindrical area = 2*PI*r*h
= 
= 706.50 square feet
And area of the circular top = PI*r²
= 
= 63.585 square feet
So, total area that will be painted = 
= 770.085 square feet
Or rounding up to 2 decimal places = 770.09 square feet.
