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
daser333 [38]
2 years ago
11

What does f mean in f(x)=3/2x+2? Also do the two points 0,2 and 2,5 work with the equation?

Mathematics
2 answers:
vazorg [7]2 years ago
7 0

Answer:

(0, 2) and (2, 5) are solutions to the function.

Step-by-step explanation:

Given the following linear function:

\displaystyle\mathsf{f(x)\:=\:\frac{3}{2}x\:+\:2 }

"f(x)" is a function notation.  

"f" represents the function name. In function notations, you can use any letter to represent a function name. However, "f" is commonly used to express function notations.

"x" is your input variable. This is the x-values that you substitute into the function to get an output, or y-value.

f(x) is your output value.

We are also given the following points:  (0, 2) and (2, 5).

In order to determine whether these points work with the given function, simply substitute their values into the function.

<h3>(0, 2) where x = 0, y = 2:</h3>

\displaystyle\mathsf{f(x)\:=\:\frac{3}{2}x\:+\:2 }

\displaystyle\mathsf{f(0)\:=\:\frac{3}{2}(0)\:+\:2 }  ⇒ The function notation, "f(0)" simply means the <em>function of zero</em>, which corresponds to the input value of zero (0).

Next, substitute the value of y = 2 into the function as an output value:

\displaystyle\mathsf{2\:=\:\frac{3}{2}(0)\:+\:2 }

2 = 0 + 2

2 = 2 (True statement).  This means that the point, (0, 2), is a solution to the given function. The point (0, 2) represent the given function's <u>y-intercept</u>, which is the point on the graph where it crosses the y-axis.  The y-coordinate of 2 is the value of <em>b</em> in the <u>slope-intercept form</u>, y = mx + b.

<h3>(2, 5) where x = 2, y = 5:</h3>

We will do the same process for (2, 5):

\displaystyle\mathsf{f(x)\:=\:\frac{3}{2}x\:+\:2 }

\displaystyle\mathsf{f(2)\:=\:\frac{3}{2}(2)\:+\:2 }

Substitute the value of y = 5 into the function as an output value:

\displaystyle\mathsf{5\:=\:\frac{3}{2}(2)\:+\:2 }

5 = 3 + 2

5 = 5 (True statement).  This means that the point, (2, 5), is also a solution to the given function.

dem82 [27]2 years ago
3 0

Answer:

f(x) means y

Points 0,2 and 2,5 work with the equation

Step-by-step explanation:

f(x) means y

For 0, 2

y = 3/2(0) + 2

y = 2

For 2,5

y =3/2(2) + 2

y = 5

You might be interested in
83 POINTS FOR WHOEVER ANSWERS THESE QUESTIONS:<br><br> PICTURES
motikmotik

Answer:

y=sqrt((x+a)/-2b))

F=(5/9)C+32

Can't read the rest

Step-by-step explanation:

-2by^2=x+a

y^2=(x+a)/-2b

y=sqrt((x+a)/-2b))


F-32=(5/9)C

F=(5/9)C+32 (The actual Fahrenheit-Celcius formula)

NOTE: The other pictures cannot be opened.



7 0
3 years ago
Read 2 more answers
Find the area of a rectangle with a length of 5 1/3 inches and a width of 2/3 inch
neonofarm [45]

Step-by-step explanation:

length \: of \: rectangle \\ l = 5 \frac{1}{3} \:  inches =  \frac{16}{3}  \:inches  \\  \\ width \: of \: rectangle \:  \\ w =  \frac{2}{3}  \: inch \\  \\ area \: of \: rectangle \\  = l \times w \\  \\  = \frac{16}{3}  \times \frac{2}{3} \\  \\  =  \frac{32}{9}  \\  \\ \red{ \boxed{  \therefore  area \: of \: rectangle = 3 \frac{5}{9}  \:  {inch}^{2} }}

4 0
3 years ago
​A college student only saves quarters and dimes in her piggy bank. She empties out her piggy bank at the end of each month. Thi
Nadusha1986 [10]
For this case, the first thing we must do is define variables:
 x = number of quarters
 y = number of dimes
 We now write the system of equations:
 x + y = 28
 0.25x + 0.10y = 4.05
 Solving the system of equations we have:
 x = 8.33
 y = 19.66
 Rounding:
 x = 8
 y = 20
 Answer:
 
the college student has:
 
8 quarters
 
20 dimes
8 0
3 years ago
What is the equation of the line with a slope of 1/4 and a y-intercept of 2?
ELEN [110]
Equation of the line in slope intercept form is

y = 1/4 * x + 5. Slope is 1/4. Intercept is 5.

If x= 4, y = (1/4)*4 + 5 = 6.

The point (4,6) lies on the line.

Equation of the line in point slope form is

(y - y1)= m * (x - x1) where m is slope & (x1,y1) is point on the line.

Substituting slope m= 1/4 & point (4,6),

Equation of the line in point-slope form is:

(y - 6) = 1/4 * (x - 4).

Sanjay C.
6 0
3 years ago
Read 2 more answers
The second step in the process for factoring the trinomial x2-5x-36 is to
Ivanshal [37]
X²-5x-36

Write -5x as a sum or difference.

x²+4x-9x-36

Factor out x from the expression.

x(x+4)-9(x+4)

Factor out x+4 from the expression.

(x+4)(x-9)

Answer: The second step is to factor out x.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose two fractions are both less than 1. Can their sum be greater than 1? Greater than 2?
    8·1 answer
  • What is 55/100 simplified
    11·2 answers
  • Katalin drove 180 miles on her vacation. She drove an average of 1.5 times faster on the second 90 miles of her trip than she di
    9·2 answers
  • ¿Cuánto es 15% de 3 000?​
    5·2 answers
  • Elizabeth is 11 meters into the race after 4 seconds but is only 13 meters in after 12 seconds (her tricycle is slow because she
    8·2 answers
  • For the polynomial function ƒ(x) = x4 − 12x3 + 46x2 − 60x + 25, find all local and global extrema.
    9·1 answer
  • Which of the following is not a rigid transformation?
    9·2 answers
  • Date
    5·1 answer
  • 5 × (2 + 1)2 ÷ 3 = what's the answer I wrote this cus it said it was to short to post
    14·1 answer
  • A full-length mirror cost $144.99 when the cpi was 163. what will a full-length mirror cost when the cpi is 211, to the nearest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!