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blagie [28]
2 years ago
14

A restaurant's delivery person can determine the number of miles he can drive in x hours by the function f (x) = x2 + 3x. The nu

mber of gallons of gasoline that the delivery person uses for driving y miles can be determined by the function g of y is equal to y over 18 period If the delivery person works a 9-hour shift, how many gallons of gasoline will he need in his tank?
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Mathematics
1 answer:
slavikrds [6]2 years ago
4 0

The delivery person will use 6 gallons of gasoline

The function to determine the number of miles in x hours is:

f(x)  =  x²  +  3x

The number of gallons of gasoline used for driving y miles is:

g(y) = y/18

For a delivery person that works a 9-hour shift:

x  =  9

f(9)  =  9²  +  3(9)

f(9)  =  81  +  27

f(9)  =  108

That is, the number of miles, y = 108 miles

The number of gallons of gasoline used:

g(y)  =  y/18

g(108)  =  108/18

g(108)  =  6

The delivery person will use 6 gallons of gasoline

Learn more here: brainly.com/question/16155213

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What is the vertex of the equation, y= -3x^2+2x-7?
Genrish500 [490]

A

Given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

The x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

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with a = - 3, b = 2 and c = - 7, hence

x_{vertex} = - \frac{2}{-6} = \frac{1}{3}

Substitute this value into the equation for y-coordinate

y = - 3 (\frac{1}{3})² + 2 ( \frac{1}{3}) - 7

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4 0
3 years ago
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Veronika [31]

Answer:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

This is not a function

Step-by-step explanation:

Domain (-3,-2,-1,0,1,2)

Range (-2,0,1,2,3)

one x-value with two y-values, (-1, 2) and (-1, -2)

not a function

Plotting the graph should be easy

left side are x-values

right side are y-values

4 0
2 years ago
If h = 9 units and r = 5 units, then what is the volume of the cone shown above?
dexar [7]

Answer:

Answer = 235.5

Step-by-step explanation:

Cone volume formula is V = 1/3 * pi * r^2 * h

V = 1/3 * 3.14 * 5^2 * 9

V = 235.5

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11111nata11111 [884]

Step-by-step explanation:

Solving

2x + 6 = 4x - 4

Bringing like terms on one side

6 + 4 = 4x - 2x

10 = 2x

10 / 2 = x

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8 0
3 years ago
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