Use the given conditions to write an equation for the line in point-slope form and general form,

Mathematics

1 answer:

Sveta_85 [38]3 years ago

8 0

Answer:

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Step-by-step explanation:

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A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoe

vaieri [72.5K]

To answer the question, let B call the amount of meat and P the number of potatoes.

The recipe says that for every pound of meat we need 3 potatoes.

Then that relationship is written as follows:

$1B = 3P$

$\frac{1}{3}=\frac{P}{B}$

If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.

Then the relationship is:

$2B = 6P$

$\frac{2}{6}=\frac{P}{B}$

But $\frac{2}{6}=\frac{1}{3}$

Therefore, the proportion that represents the situation remains the same $1B = 3P$

This occurs because the increase in the amount of potatoes and beef was in the same proportion.

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4 years ago

What is the equation of the line with a slope of -1/2 that passes through the point (6,-6)

Leona [35]

The answer is y=-1/2x-6

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4 years ago

What are the roots of the quadratic equation below 3x2+15x-5=0

fomenos

Answer:

Step-by-step explanation:

$3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A$