Which mathematical inequality represents the following statement?

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

2 years ago

Choose three intervals on the real number line that contain both rational and irrational numbers. Do you think that any given in

Helen [10]

Any real number line ranges from negative infinity to positive infinity. A real number number line consists of all the rational and irrational numbers. Let us take three intervals which contain both the rational and irrational numbers.

First interval: [3,4]

Since every integer is a rational number, 3 and 4 are both rational. In this interval there occurs the value of π (3.14159..) which is an irrational number.

Second interval : [0,2]

0 and 2 are integers and hence are rational. In this interval, occurs √2 (1.41421...) is an irrational number.

Third interval : [2,3]

In this interval, Eulers number 'e' lie whose value is (2.718281.. )

Hence we can conclude that, there occurs an irrational number between any two rational number.

3 0

2 years ago

Give a big-o estimate for the number of operations (where an operation is an addition or a multiplication) used in this segment

Marianna [84]

We have a "rectangular" double loop, meaning that both loops go to completion.
So there are 3*4=12 executions of t:=t+ij.

Assuming two operatiions per execution of the innermost loop, (i.e. ignoring the implied additions in increment of subscripts), we have 12*2=24 operations in all.

Here the number of operations (+ or *) is exactly known (=24).

Big-O estimates are used for cases with a varying scale of operations, governed by a variable (usually n) to indicate the sensitivity of the number of operations relative to a change in the size of n.

Here we do not have a scale, nor n is defined. The number of operations is constant and known at 24. So a variable is required to find the big-O estimate.

6 0

3 years ago

Two cyclists start from 98 miles apart and begin racing toward each

kati45 [8]

The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Learn more here:

brainly.com/question/18839894

3 0

2 years ago

Read 2 more answers

James creates the table shown to represent the function f(x)=x^2+8x+12.

Rasek [7]

The table tells you that f(x)=0 at x=-6 and -2

6 0

3 years ago