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alexdok [17]
3 years ago
7

Jennifer has a taco stand.she found that her daily costs can be modeled by C(x)=x^2-40x+610. if she wants to keep her daily cost

at 300 dollars, how many units of tacos does she need to sell

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0
Let's focus on the given equation. The C represents the cost, while the x must be the number of tacos, which is what we're solving for. Since we're given the boundary that C must be 300, then the solution would be:

300 = x² - 40x + 610
x² - 40x + 310 = 0

Apply the quadratic formula where a = 1, b = -40 and c = 310. The roots of x are:
x = 29.49≈30
x = 10.51≈11

<em>Thus, she needs to sell either 30 or 11 tacos.</em>

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Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?
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Answer:

Sydney is 44 years old

Step-by-step explanation:

<u>Step 1:  Make a system of equations </u>

d = s - 15

<em>d + s = 73 </em>

<u>Step 2:  Plug in s - 15 for d in the second equation and solve </u>

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Answer:

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Step-by-step explanation:

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That is why we find LCD to be ab.

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That is why we find LCD to be ab.

Then,

\frac{p}{a} +\frac{q}{b} =\frac{pb+qa}{ab}

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