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3 years ago

Complete the table of values for y=x^2-4x

Mathematics

2 answers:

maksim [4K]3 years ago

6 0

(-1, 5)
(0,0)
(1, -3)
(2, -4)
(3, -3)
(4, 0)
(5, 5)

Zolol [24]3 years ago

3 0

Answer:

y =(5,0,-3,-4,-3,0,5)

Step-by-step explanation:

To get y you have to replace the different number of x in the equation

For example,

To x=-1

y=x^2-4x

y=(-1)2-4*(-1)=

y=5

to x=0

y=x^2-4x

y=0^2-4*0

y=0

The table will be:

x y

-1 5

0 0

1 -3

2 -4

3 -3

4 0

5 5

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Vikki [24]

The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

<h3>How to calculate the volume of a cylinder?</h3>

The formula for calculating the volume of cylinder is expressed as:

V = πr²h

where

r is the radius

h isthe height

Given the following parameters

h = 15in

r = 6in

substitute

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Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

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3 years ago

A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas

Fittoniya [83]

Height of the water increasing is at rate of $#(dh)/(dt)=3/(25 pi)m/(min)#$

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

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There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

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Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

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In the problem, we are given $#3(m^3)/min# which is #(dV)/(dt)#.$

So we need to substitute this in:

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Hence, Height of the water increasing is at rate of $#(dh)/(dt)=3/(25 pi)m/(min)#$

<h3>Formula used: </h3>

$#V=pi r^2 h#$

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STatiana [176]

Answer:

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Answer:

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