Subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.

2x+37=1470 is the given equation.

We will need to subtract 2x from both of the sides.

3y=-2x+1470

Next, divide both of those sides by 3.

y=-2/3x+490

y=mx+b

The slope is -2/3, and it goes into the m.

The y-intercept will be 490 and it goes into the b place.

2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.

Put a dot on 490 on the graph. Move left 3 and 2 up. Make another dot there. This shows the fraction. I think it is 2 up because when you divide by a negative it becomes a positive. Fractions show division. We move 3 left because that is the denominator, the run. We move 2 up because that is the rise. When you rise, you go up. That is how I think of it. So, since it’s the upper part of the fraction we rise. Draw a line through them both.

3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.

The answer is f(x)=-2/3+490 because the graph shows the amount of money he’s made and the function is the number of sandwich specials he sells.

4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.

I did not know how I’d draw this, but I found an image online, it’s not mine, but it shows the graphed equation and I think it’s correct.

The first dot is on 490, and when you go 3 over and 2 down, it does make the line. I’m not taking this image as my own work, but I think this would be the correct answer.

5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

The profit of every sandwich is 2 dollars and the profit of every wrap is 3 dollars. Last month he earned 1,470 so the next month he’ll earn 1,593. Both still have the same amount of profit, but the totals are different due to the change of the sold amount.

5 0

3 years ago

Drag the tiles to the boxes to form correct pairs.

Oxana [17]

When two lines intersect at 90° degrees angle, the lines are perpendicular to each other. Two perpendicular lines, their slope will give a product of -1

i.e. if the first's line slope is 5, then the second line's will be -1 ÷ 5 = -¹/₅

To find the slope of a line, we divide the vertical distance by the horizontal distance.

We'll use the trial and error method to find the right pairing

Let's start with A(3, 3) and B(12, 6)

Vertical distance =

Horizontal distance =

The slope AB = ³/₉ = ¹/₃

We want BC to have a slope -1 ÷ ¹/₃ = -3

Try C(16, -6); check the slope with B(12, 6)

Vertical distance =

Horizontal distance =

Slope of BC = -12 ÷ 4 = -3

The slope BC = -3 is the value we want so, tile 1 pair with tile 4

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Let's do A(-10, 5) and B(12, 16)

Vertical distance = 16 - 5 = 11

Horizontal distance = 12 - -10 = 22

Slope AB = ¹¹/₂₂ = ¹/₂

The perpendicular slope would be -1 ÷ ¹/₂ = -2

Try C(18, 4) with B(12, 16)

Vertical distance = 16 - 4 = 12

Horizontal distance = 12 - 18 = -6

Slope BC = ¹²/₋₆ = -2

Slope BC and slope AB perpendicular, so tile 3 matches with tile 6

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Let's try A(12, -14) and B(-16, 21)

Vertical distance = 21 - -14 = 35

Horizontal distance = -16 - 12 = -28

The slope AB = ³⁵/-₂₈ = ⁵/₋₄

We need the perpendicular slope to be -1 ÷ -⁵/₄ = ⁴/₅

Try C(-11, 25)

Vertical distance with B = 25 - 21 = 4

Horizontal distance with B = -11 - -16 = 5

The slope = ⁴/₅

Tile 7 matches tile 8

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Take A(-12, -19) and B(20, 45)

Vertical distance = 45 - -19 = 64

Horizontal distance = 20 - -12 = 32

Slope AB = ⁶⁴/₃₂ = 2

We need the perpendicular slope to be -1 ÷ 2 = -¹/₂

We have C(6, 52) and checking the slope with B(20, 45)

Vertical distance = 45 - 52 = -7

Horizontal distance = 20 - 6 = 14

The slope is ⁻⁷/₁₄ = -¹/₂

Tile 9 pairs with tile 2

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Conclusion

Tile 1 ⇒ Tile 4

Tile 3 ⇒ Tile 6

Tile 7 ⇒ Tile 8

Tile 9 ⇒ Tile 2

Tile 5 and Tile 10 do not have pairs

5 0

3 years ago

Which of the following is equal to 83 × 2?

8090 [49]

Answer:

A.

(80 × 2) + (3 × 2)

Step-by-step explanation:

83*2 =

Split 83 into an addition problem

(80+3) *2 =

Distribute

80*2 + 3*2

6 0

4 years ago

Read 2 more answers

Subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2​

Subtract 3x-7x³+5x² from the sum of 2+8x²-x³ and 2x³-3x²+x-2