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allsm [11]
3 years ago
15

The function g(x) is a continuous quadratic function defined for all real numbers, with some of its values given by the table be

low.The quadratic function ƒ(x) is represented by the parabola below.
Mathematics
1 answer:
Andre45 [30]3 years ago
4 0
G(x) is 0 when x = -3 and 3 so g(x) passes though x axis at x = -3 and x = 3
At x = 0 g(x) = 9 so it also passes through (0,9)   and its symmetrical about the y axis  The vertex is at (09)

so we can write  it as  g(x) =  a(x - 0)^2 + 9 

plugging in the point (2,5)   5 = 4a + 9
                                           4a = -4 so a = -1

and the equation of the parabola is g(x) = -x^2 + 9
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3 years ago
A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the
murzikaleks [220]

Answer:

The volume of the cylinder is 300\pi cubic feet.

Step-by-step explanation:

From Geometry we remember that volumes of a cone and a cylinder with the same radius (R), measured in feet, and height (h), measured in feet, are defined by the following equations:

Cone

V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h (1)

Cylinder

V_{cy} = \pi\cdot R^{2}\cdot h (2)

The ratio of the volume of the cylinder to the volume of the cone is:

\frac{V_{cy}}{V_{co}} = 3 (3)

If we know that V_{co} = 100\pi\,ft^{3}, then the volume of the cylinder is:

V_{cy} = 3\cdot V_{co}

V_{cy} = 300\pi\,ft^{3}

The volume of the cylinder is 300\pi cubic feet.

3 0
3 years ago
#10. Would I do 3length•1width•2height?
sergeinik [125]
Yes, you are right. the length is 3, the height is 2, and the width is 1

5 0
3 years ago
Read 2 more answers
Bob believes his test grade varies directly with the number of hours he spends studying and inversely with the number of hours h
Readme [11.4K]

Answer: Hello mate!

A direct variation implies that, if y is the dependent variable that varies with the variable x; then: y = k*x where k is a real number.

An inverse variation has the form y = k/x where also k is a real number.

them, if we define s as the hours that Bob spends studying, and b as the hours that he spends playing baseball, then the equation that represents the score is:

Score(s,b) = k*s/b

we know that if s = 6, and b = 7, then the score is 72; with this information, we could obtain the value of the constant k.

score(6,7) = 72 =k*6/7 = k*

then  k = 72*(7/6) = 61.7

now if s = 4 and b = 6, the score that he should expect is:

score( 4, 6) = 61.7*(4/6) = 41

6 0
3 years ago
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
andreev551 [17]

Answer:

816 square feet

Step-by-step explanation:

13(16+20+12) + 16(12) = 816

7 0
3 years ago
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