A ball dropped from the top of a building can be modeled by the function

1 answer:

4 0

A ball dropped from the top of the building can be modeled by the function f(t)=-16t^2 + 36 , where t represents time in seconds after the ball was dropped. A bee's flight can be modeled by the function, g(t)=3t+4, where t represents time in seconds after the bee starts the flight.

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Three distinct lines, all contained within a plane, separate that plane into distinct regions. what are all of the possible numb

BlackZzzverrR [31]

The solution is attached as a word file.

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2 years ago

Which expression is equivalent to √148 A. 12 B. 12√4 C. 14 D, 2√37

Jobisdone [24]

Answer:

Step-by-step explanation:

You put square roots of 148 in the calculator than it will give you the answer

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3 years ago

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Write an equation perpendicular to x-3y=3 passes through (5,-9)

kherson [118]

3y=x-3
y=1/3x-1
Perpendicular slope: -3
y=-3x+b
Plug in the coordinates in the equation:
-9=-3(5)+b
-9=-15+b
4=b
Equation: y=-3x+4
Also, when finding the perpendicular slope you take the reciprocal of the original slope and make it negative if it is positive and make it positive if it’s negative.

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2 years ago

The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they

Jobisdone [24]

The maximum profit is the y-coordinate of the vertex of the parabola represented by the equation.

$P(c)=-20c^2+320c+5120 \\ \\
a=-20 \\
b=320 \\ \\
\hbox{the vertex } (h,k): \\
h=\frac{-b}{2a}=\frac{-320}{2 \times (-20)}=\frac{-320}{-40}=8 \\
k=f(h)=f(8)=-20 \times 8^2+320 \times 8+5120= \\
=-1280+2560+5120=6400$

The maximum value is 6400, but the profit is given in hundreds of dollars, so multiply the value by 100.

The maximum profit the company can make is $640,000.

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3 years ago

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AURORKA [14]

Answer:

Part A: 1

Part B: -4

Step-by-step explanation:

In a coordinate $(x,y)$ , the x-coordinate represents the input of a function and the y-coordinate represents the output.

Part A:

We're looking for the point the line passes through with an x-coordinate (input) of -3. This point is (-3,1) and therefore the output is 1 when the input is -3.

Part B:

We're looking for the point the line passes through with a y-coordinate (output) of 2. This point is (-4,2) and therefore an input of -4 yields an output of 2.

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2 years ago

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