1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Minchanka [31]
3 years ago
5

The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho

ol 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.
Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

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.
You might be interested in
Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real n
e-lub [12.9K]

Answer:

See Below

Step-by-step explanation:

The function is a piecewise function defined as:

N(t)=\left \{ {{25t+150} \ 0 \leq t \leq 6 \atop {\frac{200+80t}{2+0.05t} \ t \geq 8}} \right.

a)

We need to find the limit of the function as t goes to infinity. This means what is the max value of fish in the pond given times goes to infinity (on an on).

We will take the 2nd part of the equation since t falls into that range, t is infinity, which is definitely greater than 8.

\lim_{t \to \infty} \frac{200+80t}{2+0.05t} \\\lim_{n \to \infty} \frac{80t}{0.05t}\\ \lim_{n \to \infty} \frac{80}{0.05} =1600

This means the maximum number of fish at this pond is 1600, no matter how long it goes on.

b)

A function is continuous at a point if we have the limit and the functional value at that point same.

Functional value at t = 8 is (we use 2nd part of equation):

\frac{200+80t}{2+0.05t}\\\frac{200+80(8)}{2+0.05(8)}\\=350

We do have a value and limit also goes to this as t approaches 8.

So, function is continuous at t = 8

c)

We want to find is there a "time" when the number of fishes in the pond is 250, during t from 0 to 6. We plug in 250 into N(t) and try to find t. Make sure to use the 1st part of the piece-wise function. Shown below:

N(t)=25t+150\\250=25t+150\\25t=250-150\\25t=100\\t=4

The time is 4 years when the number of fishes in the pond is 250

6 0
3 years ago
Multiply (1.4 x 10^2) x (2.0 x 10^-5)
Mars2501 [29]

Answer:

2.8 x 10^-3

Step-by-step explanation:

5 0
3 years ago
I need help on this one 2 pls !?
mestny [16]
the area of the first shape is 4 times 12 which is 48 and the area of the second shape is 2 times 10 which is 20
48+20= 68 mi2
3 0
3 years ago
Read 2 more answers
Which choices are equivalent to the quotient below? Check All That Apply.
marshall27 [118]

Answer:

A, E

Step-by-step explanation:

brainliest please

4 0
3 years ago
Read 2 more answers
I’m very confused can someone help me o
bazaltina [42]
Units. I believe have an amazing day you amazing person
4 0
3 years ago
Other questions:
  • Line a is parallel to line b, m∠1=2x+44 and m∠ 5=5x+38 Find the value of x.
    8·1 answer
  • If a/b=2 what is the value of 4b/a​
    8·2 answers
  • Please match the answer to the question.
    13·2 answers
  • The area of a triangle is 18 square feet. If the base is 3 feet, what is the height of the triangle?
    8·2 answers
  • [6 - (4 - 2(6 - 5) + 6)] + 3
    10·2 answers
  • Jen can run a mile in 8 minutes. Which is the most reasonable time for her to run a 10-km race: 1.6min, 5 min, 50 min, or 500 mi
    14·1 answer
  • X+40/100*x=60 What is x?
    8·1 answer
  • If a triangle has three unequal sides, what is true about the angles of the triangle?
    10·1 answer
  • Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
    12·2 answers
  • Please Help
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!