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>
The shortest length of fabric, in inches, that Kirk could use to make the tablecloth without putting any separate pieces of fabric together is 30 inches
<h3>How to solve for the shortest length of fabric required to make the table cloth</h3>
<u>Given data</u>
diameter of the table = 3 feet
hang down dimension = 5 inches
sew down dimension = 1 inch
width of rectangular fabric = 60 inches
The question seeks for area of the table cloth, for a circular table area of a circle = pi * r^2
required radius of cloth
= radius of the table + hang down dimension + sew down dimension
= 3 feet / 2 + 5 inches + 1 inch
= 1.5 * 12 inches + 5 inches + 1 inch
= 18 + 5 + 1
= 24 inches
Area of required cloth
= pi * 24^2
= 1809.557 square inches
Area of fabric = Area of required cloth
length * wide = 1809.557 square inches
length * 60 = 1809.557 square inches
length = 1809.557 / 60 square inches
length = 30.159 inches ≈ 30 inches
Therefore option H which is 30 inches is the answer
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Answer:
the distance between A and C
Answer:
0, 4
Step-by-step explanation:
