Can you help me on this one please

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

8 0

Answer: x ≥ 1307

Explanation:

First, write the formula:
monthly fee: $14
minute rate: 7¢ or $0.07
total charge: $105.49
.07x + 14 ≥ 105.49 (the sign is this way because they said this price was the least she had been charged for a month.
You can solve for x just like you would in an equation by making the ≥ sign an equal sign
.07x + 14 = 105.49
- 14 -14
.07x = 91.49
÷ .07 ÷ .07
x = 1307 minutes
since you didn't divide by a negative number, the inequality sign stays the same:
x ≥ 1307

You might be interested in

Help 8th grade math need answers quick

stepladder [879]

Answer:

A few examples:

0. 0

1. Undefined

2. -3/5

3. Undefined

...

7. 493

8. 5/2

....

Learn how to find the slope below for the other problems.

Step-by-step explanation:

Slope is the rate of change for a linear function. It is found by subtracting the y values of two point on the line and dividing that difference by the difference of the x values of the points.

It can also be found using the formula y=mx+b known as the slope intercept form.

Here are a few examples:

0. This is a horizontal line which always has slope 0.

1. This is a vertical line which always has slope undefined.

2. Find two points that cross through a grid line intersection The line appears to cross them at (5,3) and (0,6). Count the unit squares between the two by counting up 3 and over to the left 5. Because it is left it is negative. The slope is -3/5

3. To find the slope, use the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{6--4}{-2--2}=\frac{6+4}{-2+2}=\frac{10}{0}=undefined$

Since we can't divide by 0, it is undefined.

7. y=493x-257 follows the formula y=mx+b where m is the slope. m=493. The slope is 493.

8. Covert the equation into y=mx+b by rearranging the terms using y=mx+b.

5x-2y=48

-2y=48-5x

y=5/2 x -24

So the slope is 5/2.

8 0

3 years ago

Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop m

zlopas [31]

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

Number of hours of pop music = 3

Number of hours of classical music = 2

According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.

Rate of increment = 5% = 0.05

Let the number of months be 'x'.

So, our required function becomes,

$f(x)=3(1+0.05)x+2\\\\f(x)=3(1.05)x+2$