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3 years ago

What are the domains and ranges of the graphs

Mathematics

1 answer:

Maslowich3 years ago

7 0

Answer:

The domain for graph 1 is all real numbers, the range is y >= 0.

The domain for graph 2 is x >= 0, the range is y >= 0

Step-by-step explanation:

Graph 1: The x values are infinite for the graph, the y values will always be above zero and continue to be infinite.

Graph 2: The x values start at 0 and go to the right for infinity, the y values start at 0 and continue to infinity.

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light a flashes every 5 seconds Light b flashes every 6 seconds light c flashes every 7 seconds work out how long it will take f

Svet_ta [14]

Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

8 0

2 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f

likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

$A=(1500-2y)y\\\\A=1500y-2y^2$ .....(3)

For largest area, differentiate above area equation wrt y.

$\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375$

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

$A =1500(375)-2(375)^2\\A=281250\ m^2$

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0

3 years ago

In a survey, 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary.

Rasek [7]

The answer is 25000.

4 0

2 years ago

First equation x-y=8<br> second equation x+y=6<br> this would be very helpful

skelet666 [1.2K]

I’m sorry I don’t know

4 0

3 years ago

Can you please help me on this question 8(4-x)=7x+2

kati45 [8]

Answer:

2=x

Step-by-step explanation:

8(4-x)=7x+2

Distribute

32 - 8x = 7x+2

Add 8x to each side

32 - 8x+8x = 7x+8x+2

32 = 15x+2

Subtract 2 from each side

32-2 = 15x+2-2

30 = 15x

Divide each side by 15

30/15 = 15x/15

2 =x

5 0

3 years ago