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3 years ago

What is the equation that matches this table?

Mathematics

1 answer:

12345 [234]3 years ago

6 0

Answer:

y = –1 + 3x

Step-by-step explanation:

To know which option is correct, we shall use the equation given in each option to see which will validate the table. This is illustrated below:

Option 1

y = –1x + 3

x = –2

y = –1(–2) + 3

y = 2 + 3

y = 5

This did not give the required value of y (i.e –7) in the table.

Option 2

y = 1 + 3x

x = –2

y = 1 + 3(–2)

y = 1 – 6

y = –5

This did not give the required value of y (i.e –7) in the table.

Option 3

y = –3 + 1x

x = –2

y = –3 + 1(–2)

y = –3 – 2

y = –5

This did not give the required value of y (i.e –7) in the table.

Option 4

y = –1 + 3x

x = –2

y = –1 + 3(–2)

y = –1 – 6

y = –7

This gives the required value of y (i.e –7) in the table.

Thus, the equation that matches the table is:

y = –1 + 3x

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Determine if the lines are parallel, perpendicular, or neither 10x+5y=-5 and y=-2x+6

Ksenya-84 [330]

If they are parallel they will have the same slope , m

So in y = mx + c, if there are two equations which both have the same m value they will be parallel.
If the lines are perpendicular they'll have slopes like this: 1/2 to -2/1 - where they flip and a negative gets added.

In the equations: 10x + 5y = -5 , and y = -2x + 6
We can rearrange 10x + 5y = -5 to be in the form y = mx + c
10x + 5y = -5
5y = -5 - 10x
y = -1 - 2x
y = -2x - 1

Since y = -2x - 1 and y = -2x + 6 both have the same slope of -2 they are parallel!

7 0

4 years ago

Look at the picture

IRISSAK [1]

Answer:

x = 10

Step-by-step explanation:

In the last step, you can see that the fraction $\frac{1}{5}$ has been multiplied by its reciprocal $\frac{5}{1}$ , making it cancel out. The reciprocal has been multiplied to both sides, so all you need to do is multiply $\frac{6}{3}$ · $\frac{5}{1}$ :

6 · 5 = 30

3 · 1 = 3

So now you should have the fraction:

x = $\frac{30}{3}$

But, you can still simplify the fraction by dividing 30 by 3:

x = 10

7 0

3 years ago

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lesya [120]

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Step-by-step explanation:

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3 0

3 years ago

A study on how circus ticket pricing influences ticket sales shows that there is an average increase of 4 people for every $3 de

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Let the price of a ticket be originally T dollars, and the number of clients be N.

let the price decrease by x 3-dollars.

"there is an average increase of 4 people for every $3 decrease on the price of the ticket."

means:

if the price is decreased by 1-3$:
then N become N+4, and T becomes T-3

if the price is decreased by 2-3$:
then N become N+4+4=N+2*4, and T becomes T-3-3=T-2*3

So if the price is decrease by x-3 dollars:

N becomes N+4x, and T becomes T-3x

"A circus owner sells an average of 340 tickets when the price of a ticket is $75."

In this case N=340, and T=75$

If the owner does not change the price ticket, x=0, the revenue is 340*75,

If the owner decreases the price of the tickets by x-3$, then the revenue will be
(N+4x)(T-3x)=(340+4x)(75-3x) dollars,

If R is the function of the revenue depending on x, then

R(x)=(340+4x)(75-3x) dollars

Answer: R(x)=(340+4x)(75-3x) dollars

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4 years ago

What is the relationship between 7 and —7?

Alex73 [517]

Answer: absolute value

Step-by-step explanation:

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4 0

3 years ago