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3 years ago

Use the vertical line test to determine whether the graph shown to the right is the graph of a function

Mathematics

1 answer:

Andreas93 [3]3 years ago

3 0

That's not a function.

Since a vertical line hits the graph more than once, if fails the test. (See graph below)

If it is a function, any vertical line you draw can only hit the graph once.

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At which roots does the graph cross the x-axis? 0 -2 -4 no ir A:-4

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Answer:

0 and -2

Step-by-step explanation:

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(-3,-14) and (0-9) Pls help!!!

andreyandreev [35.5K]

Answer:

y = (5/3)x - 9

Step-by-step explanation:

First, find the slope (rise over run):

m = (-9 - (-14)) / (0 - (-3)) = (-9 + 14) / (0 + 3) = 5/3

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y + 14 = (5/3)(x + 3)

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y = (5/3)x - 9

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3 years ago

A car travels 3 miles in 4 minutes. At this rate, how many miles does the car travel in one hour?

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Answer:

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? miles=60 minutes

3 x 60

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Step-by-step explanation:

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3 years ago

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jonny [76]

Answer:

Answer is 6 the value of x is 6

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The graph below shows the rate that water leaves a tank, in gallons per hour, where t is measured in hours. (Please give exact a

defon

Answer:

Part a) 10 gallons

Part b) 4.59 hours

Step-by-step explanation:

The picture of the question in the attached figure

Part a) How much water left the tank during the 6 hours shown?

To find out how much water left the tank during the 6 hours, determine the area of the graph in that interval

Calculate the area of the rectangle plus the area of the triangle

$(4)(2)+\frac{1}{2}(6-4)(2)$

$8+2=10\ gal$

Part b) How many hours did it take for 9 gallons to leave the tank?

we know that

In the interval [0,4]

8 gallons of water leaves the tank in 4 hours (remember that the area in that interval is equal to 8 gallons)

Find out in the interval (4,6] how many hours did it take for 1 gallon to leave the tank

First determine the equation of the line in the interval (4,6)

we have the points (4,2) and (6,0)

The slope is equal to

$m=(6-2)/(0-4)=-1$

The equation of the line is

$y=-(x-6)\\y=-x+6$

Determine the area of graph in the interval (4,x) (Is the area of trapezoid)

$A=\frac{1}{2}(2+(-x+6))((x-4)$

$A=\frac{1}{2}(8-x)((x-4)$

$A=\frac{1}{2}(-x^2+12x-32)\\\\A=-\frac{1}{2}x^{2}+6x-16$

For A=1 gal

$1=-\frac{1}{2}x^{2}+6x-16$

$-\frac{1}{2}x^{2}+6x-17=0$

solve the quadratic equation by graphing

The solution is x=4.59 hours

see the attached figure N 2

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3 years ago