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Naddika [18.5K]
2 years ago
13

A cell phone company charges $39.99 flat fee each month, plus $0.05 per minute. If m represents the number of minutes used in a

month, which expression can be used to calculate a monthly payment?
39.99 + m

39.99 + m

0.05m + 39.99

0.05 m + 39.99

39.99m + 0.05

39.99 m + 0.05

0.05m

0.05 m
Mathematics
1 answer:
ladessa [460]2 years ago
6 0

Answer:

Step-by-step explanation: A cell phone company charges $39.99 flat fee each month, plus $0.05 per minute. If m represents the number of minutes used in a month, which expression can be used to calculate a monthly payment?

39.99 + m

39.99 + m

0.05m + 39.99

0.05 m + 39.99

39.99m + 0.05

39.99 m + 0.05

0.05m

0.05 m

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Use f(x) = 1 2 x and f -1(x) = 2x to solve the problems.
AVprozaik [17]

Answer:

The answer to your question is below

Step-by-step explanation:

Functions

  f(x) = 12x           f⁻¹(x) = 2x

a)   f⁻¹(-2) = 2(-2)

     f⁻¹(-2) = -4

b) f(-4) = 12x

    f(-4) = 12(-4)

    f(-4) = -48

c) f(f⁻¹(-2)) =

   f(f⁻¹(x)) = 12(2x) = 24x

  f(f⁻¹(-2)) = 24(-2) = -48            

I think your functions are wrong they must be       f(x) = 1/2x    f⁻¹(x) = 2x        

a)  f⁻¹(-2) = 2(-2)

             = -4

b) f(-4) = 1/2(-4)

         = -2

c) f(f⁻¹(x)) = 1/2(2x)

              = x

  f(f⁻¹(-2)) = -2

4 0
3 years ago
Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

Now we have everything in order to replace into formula (1):

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

7 0
2 years ago
Describe how the graph of y = x2 can be transformed to the graph of the given equation.
Vikki [24]
 <span>1.Describe how the graph of y = x2 can be transformed to the graph of the given equation. 

y = (x+17)2 

Shift the graph of y = x2 left 17 units. 


2.Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = (x-4)2-8 

Shift the graph of y = x2 right 4 units and then down 8 units. 


.Describe how to transform the graph of f into the graph of g. 

f(x) = x2 and g(x) = -(-x)2 

Reflect the graph of f across the y-axis and then reflect across the x-axis. 

Question 4 (Multiple Choice Worth 2 points) 

Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = x2 + 8 

Shift the graph of y = x2 up 8 units. 


Question 5 (Essay Worth 2 points) 

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. 
f as a function of x is equal to the square root of x and g as a function of x is equal to 8 times the square root of x 

f(x) = √x, g(x) = 8√x 

vertical stretch factor 8
Plz mark as brainlest</span>
5 0
3 years ago
Read 2 more answers
Please help, 20 points.<br> Perimeter :)
djyliett [7]

Answer:

<h2>D. (42 - 2x)(32 - 2x) = 900</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

The dimensions of the picture:

(42 - 2x)in × (32 -2x)in

The formula of an area of a rectangle:

A = l · w

l - length, w - width

Substitute l = (42 - 2x), w = (32 - 2x) and A = 900

(42 - 2x)(32 - 2x) = 900

8 0
3 years ago
Betty has $33 to buy plants for her greenhouse. Each plant costs $8. How
meriva

Answer:

4 plants

Step-by-step explanation:

If betty has $33 dollars and each plant is $8, than 33/8 ≈ 4

(8 * 4 is 32)

She will have one dollar left but she can't buy another plant since that's not enough.

3 0
2 years ago
Read 2 more answers
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