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Shalnov [3]
1 year ago
14

3. A cell phone company offers two texting plans. People who use plan A pay10 cents for each text sent or received. People who u

se plan B pay 12 dollarsper month, and then pay an additional 2 cents for each text sent or received.3a. Write an inequality to represent the fact that it is cheaper for someoneto use plan A than plan B. Use x to represent the number of texts theysend.Your answer3b. Solve the inequality."O x> 150O x < 150O > 1.5O x< 1.5

Mathematics
1 answer:
dedylja [7]1 year ago
7 0

The Solution:

Given:

Plan A:

Each text sent or received cost $0.10.

If x=number of texts sent or received in a month, the total cost is:

0.1x

Plan B:

Users pay a fixed charge of $12 and an additional $0.02 for each text sent or received. So, we have the expression for the total charges as:

\begin{gathered} 12+0.02x \\ \text{ where x = number of texts sent or received.} \end{gathered}

Part (a)

Writing the inequality that shows that to use plan A is cheaper than using plan B, we have:

0.1x

Part (b)

Solving the inequality in part (a) above, we have:

\begin{gathered} 0.1x0.08x

Dividing both sides by 0.08, we have:

\begin{gathered} x

Therefore, the correct answer is [option 2]

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Answer:

The picture shows the answer on the graph

Step-by-step explanation:

-2=-3/4×(x-6)

Distribute -3/4 through the parenthesis

-2= -3/4x+9/2

Multiply both sides of the equation by 4

-8=-3x+18

Move the variable to the left side and change its sign

3x-8=18

Move constant to the right side and change its sign

3x=18+8

Add the numbers

3x=26

Divide both sides of the equation by 3

x=26/3

Alternative Form- x=8 2/3 or x=8.6

7 0
3 years ago
Determine the equation of the line passing through the points <br> (4,-1) and (-2,-4)
jenyasd209 [6]

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}

the equation:

with the point (4, -1)

y-(-1)=\frac{1}{2} (x-4)

y+1=\frac{1}{2}x-2

y=\frac{1}{2} x-2-1

y=\frac{1}{2} x-3

I hope this help you

8 0
3 years ago
Answer: 6/2(1+2)=.<br><br><br> explain:
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Answer:

9

Step-by-step explanation:

6/2(1+2)

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I hope this helped! If so, please mark brainliest!

8 0
3 years ago
Which of the following best describes the equation below? y = 5x - 15
ddd [48]
The answer is d because 3x5=15
8 0
3 years ago
Read 2 more answers
HELP ASAP! Which of the following tables represents a linear function?
____ [38]

Table A, B and D are represents a linear function.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are 4 tables.

Now,

For Table A;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (2 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 3/1 (x + 2)

⇒ y - 5 = - 3 (x + 2)

⇒ y - 5 = - 3x - 6

⇒ y = - 3x - 1

For Table B;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (3 - 5) / (- 1 - (-2))  (x - (-2))

⇒ y - 5 = - 2/1 (x + 2)

⇒ y - 5 = - 2 (x + 2)

⇒ y - 5 = - 2x - 4

⇒ y = - 3x + 1

For Table C;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-2) = (- 1 - (-2)) / (3 - 3)  (x - 3)

⇒ y + 2 = 1/0 (x + 2)

⇒ y - 5 = ∞

Hence, It is not possible.

For Table D;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (-1 - 0) / ( 1 - 0)  (x - 0)

⇒ y - 0 = - 1/1 (x)

⇒ y = - x

Thus, Table A, B and D are represents a linear function.

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ1

5 0
1 year ago
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