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HACTEHA [7]
3 years ago
9

two companies offer different charges for text messaging company 1 charges 0.04 cents per text message while company two charges

rates according to the table. which company offers the cheapest plan for up to 500 text messages

Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0
Company one cause the equation for it is y=0.04x. If you do y=0.04(500) u get 20$ as the total.
Llana [10]3 years ago
4 0

Answer:

company 1 is offering the cheapest plan.

Step-by-step explanation:

Since company 1 charges 0.04 cents per text messages.

So for 500 text messages total charges by the company = 0.04×500 = $20

Now at the same time company B is charging

from 0 - 100 messages = $5

from 101 - 200 messages = $10

from 201 - 300 messages = $15

from 301 - 400 messages = $20

from 401 - 500 messages = $25

Total charges for 500 text messages = 5 + 10 + 15 + 20 + 25 = $75

So, company 2 is costlier than company 1.

Therefore, company 1 is offering the cheapest plan.

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Which graph best represents the feasibility region for the system shown above? ( pics are in this)
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Consider the system of inequalities

\left\{ \begin{array}{l}  y\ge 2 \\  x\le 6 \\  y\le 3x+2 \\  y\le -x+10. \end{array}\right.

1. Plot all lines that are determined by equalities (see attached diagram)

\left\{ \begin{array}{l}  y=2 \text{ (red line)} \\  x= 6  \text{ (blue line)}\\  y=3x+2 \text{ (green line)} \\  y= -x+10  \text{ (orange line)}. \end{array}\right.

2. Determine which bounded part of the plane you should select:

  1. y\ge 2 means that you should take points with y-coordinates greater than or equal to 2 (top part of the coordinate plane that was formed by the red line);
  2. x\le 6 means that you should take points with x-coordinates less than or equal to 6 (left part of the coordinate plane that was formed by the blue line);
  3. for y\le 3x+2 you can check where the origin is placed. Since 0\le 3\cdot 0+2, the origin belongs to the needed part and you have to take the right part of the coordinate plane that was formed by green line.
  4. for y\le -x+10 you can check where the origin is placed. Since 0\le -1\cdot 0+10, the origin belongs to the needed part and you have to take the bottom part of the coordinate plane that was formed by orange line.

3. According to the previous explanations, the shaded region is as in A diagram.

Answer: correct choice is A.


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The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?
kolezko [41]

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

x + y = 23\\x * y = 132

From the first equation we have to:

x = 23-y

We substitute in the second equation:

(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

(y-11) (y-12) = 0

Thus, the solutions are:y_ {1} = 11\\y_ {2} = 12

So, we can take any of the solutions:

With y = 11

Thenx = 23-11 = 12

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

 The ages of the children are 11 and 12 respectively.

6 0
3 years ago
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