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muminat
3 years ago
10

Calculate f(4) for each function below

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0
Subtitute x = 4 to the equations:

b)\ f(x)=\left(\dfrac{1}{5}\right)^x\to f(4)=\left(\dfrac{1}{5}\right)^4=\dfrac{1^4}{5^4}=\dfrac{1}{625}\\\\c)\ f(x)=3x-12\to f(4)=3\cdot4-12=12-12=0\\\\d)\ f(x)=(x-2)^3\to f(4)=(4-2)^3=2^3=8
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The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
lyudmila [28]

Answer:

  • <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>

Explanation:

<u>Rewrite the table and the choices for better understanding:</u>

<em>Enrollment at a Technical School </em>

Year (x)       First Year f(x)      Second Year s(x)

2009                  785                        756

2010                   740                        785

2011                    690                        710

2012                   732                         732

2013                   781                          755

Which of the following statements is true based on the data in the table?

  • The solution to f(x) = s(x) is x = 2012.
  • The solution to f(x) = s(x) is x = 732.
  • The solution to f(x) = s(x) is x = 2011.
  • The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>

Thus, the correct choice is the third one:

  • The solution to f(x) = s(x) is x = 2012.
5 0
3 years ago
You are at a home improvement store to purchase a freezer. There is currently a sale on appliances for 15% off. The freezer you
levacccp [35]
$682.11
749.99•15% or .15=112.50
So 749.99-112.50=$637.49 and
637.49 • 7% or .07= 44.62 and
44.62+637.49=$682.11
8 0
3 years ago
Dylan earns $283 on Monday and he earns $546 on Tuesday. How much total money does Dylan earn?
bearhunter [10]
The answer is: $829.00
3 0
3 years ago
When making a fruit salad, a chef chooses 4 fruits from 8 that are in season. how many different fruit salads can the chef creat
strojnjashka [21]
The answer is c. You do:
8•7•6•5
There are 8 fruits that you can choose from and every one of them can go with 7 different fruits which can go with 6 different fruits which can go with 5 different fruits.
You do that thing four times because you said that he can choose 4 fruits.
3 0
3 years ago
A cone has a volume 12 pie cubic inches it’s height 4 inches what is the radius?
insens350 [35]

Answer:

<h2>r = 3 in</h2>

Step-by-step explanation:

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have V = 12π in³ and H = 4 in. Substitute:

12\pi=\dfrac{1}{3}\pi(r^2)(4)\qquad\text{multiply both sides by 3}\\\\36\pi=4\pi r^2\qquad\text{divide both sides by}\ 4\pi\\\\9=r^2\to r=\sqrt9\to r=3

3 0
3 years ago
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