Which system of equations is represented by this graph?
y= _ x+3
y= _ x-3​

The system of equations represented by the graph are

y = 2x + 3 and y = (-1/2)x - 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation of one line on the graph.

y = mx + c

Select two coordinates from the line.

(0, 3) and (-3, -3)

m = (-3 - 3) / -3 = -6/-3 = 2

(0, 3) = (x, y)

3 = 0 + c

c = 3

The equation of the line is y = 2x + 3

The equation of the other line on the graph.

y = mx + c

Select two coordinates from the line.

(0, -3) and (2, -4)

m = (-4 + 3) / 2 = -1/2 = -1/2

(0, -3) = (x, y)

-3 = 0 + c

c = -3

The equation of the line is y = (-1/2)x - 3

Thus,

y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.

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Complete the table. Round to the nearest cent if necessary.

Item Price Markup % Markup Retail Price
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$

If george drives at a steady rate of 65 miles per hour, how many miles will he travel in 1.5 hours

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Carl is making accessories for the soccer team. He uses 666.96 inches of fabric on headbands for 39 players and 3 coaches. He also uses 333.06 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Triangle LMN is plotted on a coordinate plane. It is then dilated by a factor of 2 using the origin as the center of dilation, and translated 5 units left and 3 units up.

How is this sequence of transformations written in coordinate notation to correctly map triangle LMN to its image, triangle L'M'N' ?

A. ( x , y )→(2 x + 3, 2 y - 5)

B. ( x , y )→(2 x - 5, 2 y + 3)

C. ( x , y )→(2 x + 5, 2 y + 3)

D. ( x , y )→(2 x + 3, 2 y + 5)

Helen had $330 in her savings account when Vince opened a savings account with zero dollars.
Helen deposited $30 into her account each week for x weeks.
Vince deposited $50 into his account each week for x weeks.
The accounts did not earn interest.

Which inequality represents this situation when the amount of money in Helen's account was greater than the amount of money in Vince's account?

A.
30x>330+50x
B.
50x 330+30x

What is the slope of this line?​

Julie works at a pizza place in Phoenix. She receives a 15% discount on any pizza that she buys. If a large pizza costs $14.00, what is the amount of Julie’s discount? What is the final cost of her pizza?

Mr. Jones paid $39.24 for 3.6 pounds of steaks to grill at his family BBQ. What was the price per pound of the steaks?​

Identify the common factors of each set of numbers.
1. 12 and 20
2. 24 and 30

What is the equation of the line that has a slope of 3/10 and goes through (-10, -17)?​

convert the expression [tex]\sort[4]{3}[/tex] into exponential form

Solve for y.
3x + 4y = z
-----------------

what is m?

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A supermarket purchases chickens wholesale from a farm for $4 each. The store then marks up the chickens 50%. After 10:00 p.m., the supermarket marks down the price of the chickens by 50% to make sure they all sell before the store closes. Which statements are true about the price of a chicken? Check all that apply.

O) The marked up price of a chicken is $6 before 10:00 p.m.
O) The 50% markdown is taken off the marked-up price.
O) The chickens sell for $4 after 10:00 p.m., because the 50% markup and 50%
O) markdown cancel each other out.
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Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality: (5 points)

y > one half x + 2

The origin is not included in the shaded region and the shaded area is above the line.
The origin is not included in the shaded region and the shaded area is below the line.
The origin is included in the shaded region and the shaded area is above the line.
The origin is included in the shaded region and the shaded area is below the line.

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Simplify the fraction 27/575 (hint: make sure your answer is in simplest form!)

5/75
5/115
1/23
None of the above

Alex squeezed 2 liters of juice for breakfast. If he pours the juice equally into 5 glasses, how many liters of juice will be in each glass? (Bonus: How many milliliters are in each glass?)

If a line goes through the following two points: (0,-2) and (3,4), the slope of the line is:

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An oil company fill 1/10 of a tank in 1/5 hour. At this rate which expression can be used to determine how long it will take for the tank to fill completely?

1/5 x 10 hours
1/10 x 5 hours
1/5 x 1/10 hour
5 x 10 hours

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