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dusya [7]
3 years ago
15

Identify the correct equation for the linear function.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
7 0
D) 12x+9
the slope is 12 and the intercept is 9
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The total cost (in dollars) for a company to manufacture and sell x items per week is C(x)=50x+400. If the revenue brought in by
Vedmedyk [2.9K]

Answer:

$720

Step-by-step explanation:

Given the following functions

Cost function C(x)=50x+400

Revenue function R(x)=80x-0.05x^2

P(x)=R(x)−C(x).

Profit function P(x) = 80x-0.05x^2 - (50x+400)

P(x) = 80x-0.05x^2 - 50x - 400

Substitute x = 40

 P(40) = 80(40)-0.05(40)^2 - 50(40) - 400

P(40) = 3200-80-2000-400

P(40) =3200-2480

P(40) = 720

Hence the amount of profit made is $720

4 0
2 years ago
Hallamos precios justos empleando funciones cuadráticas (día 3)
lidiya [134]

Answer:

1. See below

2. F(x) = -0.10x² + 8x + 200

3. You earn the maximum income of S/320

4. The income decreases

5. x < 0; x > 100

Step-by-step explanation:

1. Strategies

            Let x = the days

Then 100 - x = the kilograms of oranges each day

     and 0.10x = the daily price increase

and 2 + 0.10x = the daily price

Income = (kilograms of oranges) × (price per kilogram)

F(x)= (100 - x)(2 + 0.10x)

2. Another expression for F(x)

You could multiply the factors to get a polynomial in its standard form.

\begin{array}{rcl}F(x) & = & (100 - x)(2 + 0.10x)\\& = & 200 + 8x - 0.10x^{2}\\& = &\mathbf{ -0.10x^{2} + 8x + 200}\\\end{array}

3. If sales are made in 20 da

\begin{array}{rcl}F(x) & = & (100 - x)(2 + 0.10x)\\& = & (100 - 20)(2 + 0.10\times20)\\& = & 80(2 + 2.0)\\& = &80 \times 4\\&=&\textbf{S/320}\\\end{array}\\\text{Sales made on Day 20 will earn the maximum income of } \textbf{S/320}

4. If sales are made after 40 da

(a) If sales are made on Day 40

\begin{array}{rcl}F(x) & = & (100 - x)(2 + 0.10x)\\F(x) & = & (100 - 40)(2 + 0.10\times40)\\& = & 60(2 + 4.0)\\& = &60 \times 6\\&=&\textbf{S/360}\\\end{array}\\

(b) If sales are made on Day 41

\begin{array}{rcl}F(x) & = & (100 - 41)(2 + 0.10\times41)\\& = & 59(2 + 4.1)\\& = &59 \times 6.1\\&=&\textbf{S/359.90}\\\end{array}\\\text{The \textbf{income decreases} after Day 40.}

5. Unuseful parts of the graph

(a) x <0

We can't have negative times because we received the oranges for sale only on Day 0.

(b) x > 100

1 kg of oranges is damaged each day.

After 100 da, there are no more oranges to sell.

The parts of the graph below x = 0 and above x = 100 do not contribute to resolution of the problem.

4 0
3 years ago
The product of two consecutive integers is 56. Find the integers
Sergeu [11.5K]
7•8 = 56

Hope this helps!!
6 0
2 years ago
Three hundred thousand five thousand sixty three in standard form
Alexandra [31]
305,063 is
Standard form
3 0
3 years ago
Read 2 more answers
A room 9.5 m long and 6 m wide is surrounded by a verandah 1.25 m wide. Calculate the cost of
oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Area of room = 6×9.5=57m2

Area of room including verandah = 12×8.5=102m2

So area of verandah = 102−57=45m2

So cost of cementing the floor of this verandah = 45×80=3600rupees

5 0
3 years ago
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