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notsponge [240]
3 years ago
5

Which equation does the graph below represent?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

y = (½)x

Step-by-step explanation:

(-8,-4) (0,0) and (8,4)

Use any 2 points to find the slope, hence the equation

slope = (y2-y1)/(x2-x1)

= (0-(-4))/(0-(-8))

= 4/8

= ½

y = (½)x + c

When x=0, y=0

0 = (½)(0) + c

c = 0

Equation is:

y = (½)x

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12. Find three consecutive even integers such that
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Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let <em>x</em> be equal to the smallest integer.

Let <em>x</em>+1 and <em>x</em>+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

(x)+2(x+1)=20+(x+2)

Combine like terms:

(x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10

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6 0
3 years ago
If an electric kettle uses
cupoosta [38]

Answer:

The energy used in 3.5 hours = 5.25 kilowatts            

Step-by-step explanation:

Energy used by electric kettle:  

  • 2\frac{1}{4}=\frac{9}{4}=2.25 kilowatts

Time taken by electric kettle:

  • 1.5 hours

Electric kettle's rate in kilowatts per hour can be calculated by dividing the spent energy i.e. 2.25 kilowatts by the time taken i.e. 1.5 hours.

Therefore,

Electric kettle's rate = 2.25 kilowatts / 1.5 hour

                                  = 1.5 kilowatts per hour

Thus, the energy used in 3.5 hours = 1.5 × 3.5

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Therefore, the energy used in 3.5 hours = 5.25 kilowatts                        

3 0
3 years ago
Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet:
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6.3 many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks

<u>Step-by-step explanation:</u>

We have , Trenton and Maria record how much dry food their pets eat on average each day.• Trenton's pet: 4/5 cup of dry food• Maria's pet: 1.25 cups of dry food. Based on these averages . We need to find  how many more cups of dry food will Maria's pet have eaten than Trenton's pet will have eaten over 2 seven-day weeks . We need to find how much they eat for 14 days as:

Trenton's pet: 4/5 cup of dry food•

With 4/5 per day , for 14 days :

⇒ 14(\frac{4}{5} )

⇒ 14(0.8 )

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Maria's pet: 1.25 cups of dry food.

With 1.25 per day , for 14 days :

⇒ 14(1.25 )

⇒ 17.5

Subtracting Maria's - Trenton's :

⇒ 17.5-11.2=6.3

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4 years ago
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Answer:

Lot C

Step-by-step explanation:

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3 years ago
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