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Semmy [17]
4 years ago
11

The expression 0.9(2x+5) represents how much Stacy pays for x games of bowling at Lively Lanes. The expression 4.50 + 1.80x repr

esents how much parker pays for x games of bowling at Bowling and more. For how many games of bowling would they pay the same amount?
Mathematics
1 answer:
Kaylis [27]4 years ago
4 0

Answer:the number of bowling games that they would play before the amount that they would pay becomes the same is zero

Step-by-step explanation:

The total amount that Stacy pays for x games of bowling at Lively Lanes is expressed as

0.9(2x+5) = 1.8x + 4.5

The total amount that Stacy pays for x games of bowling at Lively Lanes is expressed as

4.50 + 1.80x

To determine the number of bowling games that they would play before the amount that they would pay becomes the same, we would equate both expressions since it is the same number of games,x. It becomes

1.8x + 4.5 = 4.50 + 1.80x

1.8x - 1.8x = 4.5 - 4.5

Since both amounts are equal, it means the number of games would be zero.

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Answer:

  • 9x -5y = 4 . . . . standard form
  • 9x -5y -4 = 0 . . . . general form
  • y -1 = 9/5(x -1) . . . . . point-slope form

Step-by-step explanation:

The intercepts are ...

  x-intercept = -4/-9 = 4/9

  y-intercept = -4/5

Knowing these intercepts means we can put the equation in intercept form.

  x/(4/9) -y/(4/5) = 1

The fractional intercepts make graphing somewhat difficult. However, we observe that the sum of the x- and y-coefficients is equal to the constant:

  -9 +5 = -4

This means the point (x, y) = (1, 1) is on the graph. Knowing a point, we can write several equations using that point.

We like a positive leading coefficient (as for standard or general form), so we can multiply the given equation by -1.

  9x -5y = 4 . . . . . standard form equation

Adding -4, so f(x,y) = 0, puts this in general form.

  9x -5y -4 = 0

We can eliminate the constant by translating a line from the origin to the point we know:

  9(x -1) -5(y -1) = 0

This can be rearranged to the traditional point-slope form ...

  y -1 = 9/5(x -1)

Yet another equation can be written that tells you the slope is the same everywhere:

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-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

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Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

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