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pantera1 [17]
3 years ago
6

In a certain city, the monthly cost of telephone service is given the function C = 0.10n + 18, where n is the number of calls, 1

0 cents is the cost per call, and $14 is a fixed charge. Find the cost of making 60 calls a month.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0

Answer:

The cost of making 60 calls a month is $20.

Step-by-step explanation:

There was a small typing mistake there. If the fixed charge is $14, the cost of n calls is given by the following equation:

C(n) = 0.1n + 14

Find the cost of making 60 calls a month.

This is C(60), that is, C when n = 60. So

C(n) = 0.1n + 14

C(60) = 0.1*60 + 14 = 20

The cost of making 60 calls a month is $20.

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Caroline's hair is
Ipatiy [6.2K]

The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10

<h3>What is an equation? </h3>

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the number of months.

For Caroline's hair:

Length = (1/5)x + 7

For Trinity's hair:

Length = (1/10)x + 10

For Caroline's hair to be at least as long as Trinity's hair, hence:

(1/5)x + 7 ≥ (1/10)x + 10

The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10

Find out more on equation at: brainly.com/question/2972832

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8 0
2 years ago
How do I find the restrictions on x if there are any? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%20-%201%7D%20%20%3
Natali5045456 [20]

We have the expression:

\frac{1}{x - 1}=\frac{5}{x - 10}

When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.

That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.

If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).

Expression:

\begin{gathered} \frac{1}{x-1}=\frac{5}{x-10} \\ \frac{x-1}{1}=\frac{x-10}{5} \\ x-1=\frac{x}{5}-\frac{10}{5} \\ x-1=\frac{1}{5}x-2 \\ x-\frac{1}{5}x=-2+1 \\ \frac{4}{5}x=-1 \\ x=-1\cdot\frac{5}{4} \\ x=-\frac{5}{4} \end{gathered}

Answer: There is no restriction for x in the expression.

6 0
1 year ago
2.789 in word form and in expanded form
mylen [45]
Word form:
Two and seven hundred eighty-nine thousandths

Expanded form:

2

+ 0.7

+ 0.08

+ 0.009
5 0
3 years ago
Read 2 more answers
Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6
sweet-ann [11.9K]

Answer:

x-intercept: (3, 0)

y-intercept: (0, 2)

Step-by-step explanation:

For a function like:

y = f(x)

The x-intercept is the value of x when y = 0

the y-intercept is the value of y when x = 0

Also remember that an ordered pair is written as (x, y).

In this case we have the equation:

2*x + 3*y = 6

For the x-intercept, we just replace y by zero in the equation, then we get:

2*x + 3*0 = 6

Solving this for x, we get:

2*x = 6

x = 6/2 = 3

Then in this case, the ordered pair for the x-intercept is (3, 0)

For the y-intercept, we just need to replace x by zero in the equation:

2*0 + 3*y = 6

Solving this for y, we get:

3*y = 6

y = 6/3 = 2

Then the ordered pair for the y-intercept is (0, 2)

8 0
3 years ago
The scale drawing for Lydia’s room is drawn so that 1 cm = 1 ft. If the scale drawing shows the area of her room to be 51 square
butalik [34]
Should be 51 ft. sonve 1 cm = 1 ft
3 0
3 years ago
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