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2 years ago

Choose the linear equation in slope-intercept form given the table of values.

Mathematics

2 answers:

KiRa [710]2 years ago

8 0

Answer:

A. y = 6x -1

Step-by-step explanation:

take two coordinates: (-1,-7) , (2,11)

slope:

$\frac{y2-y1}{x2-x1}$

$\frac{11--7}{2--1}$

$\frac{18}{3}$

$6$ ....slope(m)

equation:

y - y1 = m(x - x1)

y - 11 = 6(x-2)

y = 6x -12 + 11

y = 6x -1

Eva8 [605]2 years ago

7 0

Look I just put all of these points on (Desmos) and after that I put the first one y= 6x-1 and the line just went right through every single point

It’s A

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3 years ago

Can someone explain how to do this please?

Rufina [12.5K]

for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)

${ ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0$

for every x greater than zero, use the second line to determine the value

${3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7$

hope this helps and gives some insight what to do.

if there are open questions left, feel free to ask them in the comments

have a beautiful day

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3 years ago

A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft d

GuDViN [60]

The price of chips is $ 0.75, the price of a hot dog is $ 2 and the price of a soft drink is $ 1.25.

Step-by-step explanation:

Given,

A customer buys 4 hot dogs, 3 bags of potato chips, and 4 soft drinks for $15.25.

The price of a hot dog is $1.25 more than the price of a bag of potato chips.

The cost of a soft drink is $2.75 less than the price of two hot dogs.

To find the cost of each item.

Let,

The price of chips = x

The price of a hot dog = x+1.25

Price of two hot dog = 2(x+1.25) = 2x+2.5

The price of a soft drink = 2x+2.5-2.75 = 2x-0.25

Now,

According to the problem,

4(x+1.25)+3x+4(2x-0.25) = 15.25

or, 15x+5-1 = 15.25

or, 15x = 11.25

or, x = 0.75

Hence,

The price of chips = $ 0.75

The price of a hot dog = $ 0.75+1.25 = $ 2

The price of a soft drink = $ 2×0.75-0.25 = $ 1.25

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3 years ago

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Igoryamba

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