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3 years ago

What is a, b, and c in this quadratic equation?

Mathematics

1 answer:

Vilka [71]3 years ago

4 0

A = 7
b = -18
c = -52
Do you know what the Quadratic formula is to solve?

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A company’s total revenue from manufacturing and selling x units of their product is given by: y = –3x2 + 900x – 5,000. How many

cricket20 [7]

Answer:

150 units;

Maximum revenue: $62,500.

Step-by-step explanation:

We have been given that a company’s total revenue from manufacturing and selling x units of their product is given by $y=-3x^2+900x-5,000$ . We are asked to find the number of units sold that will maximize the revenue.

We can see that our given equation in a downward opening parabola as leading coefficient is negative.

We also know that maximum point of a downward opening parabola is ts vertex.

To find the number of units sold to maximize the revenue, we need to figure our x-coordinate of vertex.

We will use formula $\frac{-b}{2a}$ to find x-coordinate of vertex.

$\frac{-900}{2(-3)}$

$\frac{-900}{-6}$

$150$

Therefore, 150 units should be sold in order to maximize revenue.

To find the maximum revenue, we will substitute $x=150$ in our given formula.

$y=-3(150)^2+900(150)-5,000$

$y=-3*22,500+135,000-5,000$

$y=-67,500+135,000-5,000$

$y=62,500$

Therefore, the maximum revenue would be $62,500.

5 0

3 years ago

12 + 1/5 (10x + 5) =59

nordsb [41]

Answer: Is the answer 59

5 0

3 years ago

PLEASE HELP!!! ILL MARK BRAINLIEST

KiRa [710]

Answer:

Beatz on demand

Step-by-step explanation:

Even though it starts at 25 for the fee it has a lower monthly rate cost then itunes. While iTunes charges 8.99 per month Beatz on demand only charges 5.99 a month

8 0

3 years ago

Read 2 more answers

Express the function graphed on the axes below as a piecewise function.

loris [4]

There is nothing below can u like it ill answer ut

8 0

3 years ago

Pasta comes with tomato sauce and can be ordered with some, all, or none of these ingredients in the sauce: {onions, garlic,

klio [65]

Answer: Hello!

So the list of ingredients in the sauce are:

{onions, garlic, carrots, broccoli, shrimp, mushrooms, zucchini, green pepper}

there are 8 possible elements in the sauce, so we need to see the combinations for this elements in the sauce.

let's count!

0 ingredients; there is only one combination with 0 ingredients.

1 ingredient: there are 8 combinations with 1 ingredient, one for each.

2 ingredients: now star playing with combinatorics, so the combinatory between A and B is: $\frac{A!}{B!(A-B)!}$ , so for 8 and 2 we get:

$\frac{8!}{2!(6)!} = 8*7/2 = 28$

3 ingredients: Similar as before; the combinatory for 8 and 3 is: $\frac{8!}{3!*5!} = 8*7 =56$

4 ingredients: for 8 and 4 we have: $\frac{8!}{4!*4!} = \frac{8*7*6*5}{4*3*2} = 2*7*5 = 70$

5 ingredients: You can think that now we are counting the combinations of 3 ingredients that we are not using, so the combinations are the same as for 3 ingredients: 56

6 ingredients: Similar as before, here are the combinations of the two ingredients that we are not using: 28

7 ingredients: there are 8 options if we decide to not use only one ingredient.

8 ingredient: there is 1 option in this case, same as the case with no ingredients

And now, we need to add all those combinations:

so C = 1 +8 + 28 + 56+ 70+ 55 + 28 +8 +1 = 512 total combinations.

3 0

4 years ago