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Viefleur [7K]
3 years ago
8

Ahmed is taking orders for lunch. A slice

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

Answer:

  • x+y=7; 2.5x+3.5y=21.5
  • (x, y) = (3, 4)

Step-by-step explanation:

Perhaps you want a system of equations and their solution.

You have defined the variables, so you just need to write the relationships.

  x + y = 7 . . . . we assume one order per person

  2.50x + 3.50y = 21.50 . . . . we assume Ahmed collected just enough

__

Multiplying the first equation by 2.5 and subtracting that from the second equation, we get ...

  (2.50x +3.50y) -2.5(x +y) = (21.50) -2.5(7)

  y = 4

  x = 7 -4 = 3

There were 3 pizza orders and 4 sandwich orders.

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5 0
3 years ago
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Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
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First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
2 years ago
Read 2 more answers
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