Answer:
x -5y = -20
Step-by-step explanation:
One way to write the equation for a line through two points is to use the slope formula. The slope is the same everywhere on a line, so the slope between the given points is the same as the slope between one of them and the general (x, y) point.
m = (y2 -y1)/(x2 -x1)
m = (5 -3)/(5 -(-5)) = (y -3)/(x -(-5))
2/10 = (y -3)/(x +5)
x +5 = 5(y -3) . . . . . . . multiply by 5(x+5)
x -5y = -20 . . . . . . rearranged to standard form
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➷ Find out how much of the can is needed per person:
24/96 = 0.25
Multiply this by the number of people:
0.25 x 28 = 7
7 cans would serve 28 people
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<span>For this case we have the following expression:
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<span> We are going to make the following change of variables:
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<span>Rewriting the expression we have:
</span>
<span>Factoring the expression we have:
</span>
<span>Canceling similar terms we have:
</span>
<span>Returning the change we have:
</span>
<span> The resctrictions of the function are those that make the denominator equal to zero.
We have then:
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<span>
Answer: The simplified expression is: </span>
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The restrictions are: </span>
For the first question, plug 5 in for t and plug it into a calculator. It should end up with 12068.