Some Quadratic functions I desperately need some help

Mathematics

1 answer:

Daniel [21]2 years ago

6 0

Answer:

$\large\boxed{0=3x^2+2x-2}\\\\\boxed{0=-3x+3x^2-2}\\\\\boxed{0=-1x-2+3x^2}$

Step-by-step explanation:

$\text{The quadratic equation:}\\\\ax^2+bx+c=0\\\\a-coefficient\\\\c-constant\ term\\\\\text{We have}\ coefficient\ a=3\ \text{and}\ constant\ term\ c=-2.\\\\\text{Therefore the equation is:}\\\\3x^2+bx-2=0\\3x^2-2+bx=0\\bx+3x^2-2=0\\bx-2+3x^2=0\\-2+3x^2+bx=0\\-2+bx+3x^2=0$

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You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 5

sertanlavr [38]

A) Demand function

price (x)          demand (D(x))

4                      540

3.50                  810

D - 540          810 - 540
----------- = -----------------
x - 4               3.50 - 4

D - 540
----------- = - 540
x - 4

D - 540 = - 540(x - 4)

D = -540x + 2160 + 540

D = 2700 - 540x

D(x) = 2700 - 540x

Revenue function, R(x)

R(x) = price * demand = x * D(x)

R(x) = x* (2700 - 540x) = 2700x - 540x^2

b) Profit, P(x)

profit = revenue - cost

P(x) = R(x) - 30

P(x) = [2700x - 540x^2] - 30

P(x) = 2700x - 540x^2 - 30

Largest possible profit => vertex of the parabola

vertex of 2700x - 540x^2 - 30

When you calculate the vertex you find x = 5 /2

=> P(x) = 3345

Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.

5 0

3 years ago

7(6m - 4) = -364 pls try and show work thanks!

quester [9]

Answer:

7(6m - 4) = -364

multiply 7 for both variables in the parenthesis

42m - 28 = -364

move 28 to other side

42m= -336

divide 42 on both sides

m= -8