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Stolb23 [73]
3 years ago
7

Write a proof for the conjecture using the contrapositive. If 5x + 7 = -13, then x = -4.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

ans x=4

Step-by-step explanation:

  • 5x + 7 = -13
  • 5x = -13 -7
  • 5x= -20
  • x = -20/5
  • x = -4
  • so the answer is x= -4
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Find the simultaneous equation x-2y=1,y^2-3xy+8=0​
Hitman42 [59]

Answer:

  (-2.2, -1.6), (3, 1)

Step-by-step explanation:

You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.

Use the first equation to write an expression for x, then substitute that into the second equation:

  x = 2y +1

  y^2 -3(2y+1)(y) +8 = 0

  -5y^2 -3y +8 = 0

  -(5y +8)(y -1) = 0

  y = -8/5   or   y = 1

The corresponding values of x are ...

  x = 2(-8/5)+1 = -11/5

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Step-by-step explanation:

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A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell
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Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

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\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

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