What are four ways to represent functions?
Answers
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.
A function shows the relationship between at least two variables. There are several ways to represent a function; some of them are:
Using tablesUsing equationsUsing graphsBy verbal expressionsTables
The following table shows the relationship between two variables x and y
[tex]\left[\begin{array}{cccccc}x&1&2&3&4&5\\y&2&4&6&8&10\end{array}\right][/tex]
Equations
Notice that the y values of the above table are twice the corresponding x-values.
So, the equation can be represented as:
[tex]y = 2x[/tex]
Graphs
See attachment for the graph of [tex]y = 2x[/tex]
Verbal
As stated above, the value of y is twice the value of x.
The above statement is a verbal representation of a function
Hence, a function can be represented with a table, graph, equation and verbally.
Read more about functions at:
https://brainly.com/question/6241820
Related Questions
1. Mrs. McKee is thinking of buying solar panels to put on the roof of her new house. The Sunny Solar Company told her that for every 2 panels, she will save $80 on her electric bill.
Make a visual representation ( examples include: a graph, a table, or a picture) for the ratio of the panels to the money that she will save on her electric bill.
(a) Write the ratio of panels to money saved as a reduced fraction. Show your work
I need help ;-;
Answers
Answer:
The reduced fraction of the ratio of panels to money saved is 1 panel/ $30 saved on electric bill.
This is because the given parameter from the Solar Company, on the cost savings from the use of solar panels is the amount Mrs. Jolley saves on her electricity bill for every 2 solar panels = $60 \
I dont have the graph sry
Answer:
I don't know sorry I took up space but to brainly on you tube channel
Step-by-step explanation:
This is some question pizza circles in math
Answers
Step-by-step explanation:
Diameter : 10
Radius : 5
Area :
[tex]\pi {r}^{2} = \pi{5}^{2} = 78.54[/tex]
Diameter: 18
Radius : 9
Area :
[tex]\pi {9}^{2} = 254.47[/tex]
Diameter: 11
Radius: 5.5
Area:
[tex]\pi {5.5}^{2} = 95.03[/tex]
Diameter: 12
Radius : 6
Area:
[tex]\pi {6}^{2} = 113.09[/tex]
A person invests 3000 dollars in a bank. The bank pays 4.25% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 5600 dollars?
Answers
Answer:
The person must leave the money for approximately 14.8 years.
Step-by-step explanation:
This can be calculated using the formula for calculating the future value as follows:
FV = PV * (1 + r)^n …………………………………. (1)
Where;
FV = Future value of the investment = 5600
PV = Present value of the investment = 3000
r = semiannual interest rate = 4.25% / 2 = 0.0425 / 2 = 0.02125
n = number of semiannuals = ?
Substitute the values into equation (1) and solve for n, we have:
5600 = 3000 * (1 + 0.02125)^n
5600 / 3000 = 1.02125^n
1.02125^n = 1.86666666666667
Loglinearizing both sides, we have:
nlog1.02125 = log1.86666666666667
n = log1.86666666666667 / log1.02125
n = 0.271066772286539 / 0.0091320695404719
n = 29.6829509548973
Since n is number of semiannuals, we divide the answer by 2 obtain the number of years as follows:
Number of years = 29.6829509548973 / 2 = 14.8414754774487
Rounding to the nearest tenth of year, we have:
Number of years = 14.8
Therefore, the person must leave the money for approximately 14.8 years.
h(x) = -5(x-1)^2(X+2)
what is the degree, leading coefficient, and y-intercept?
Answers
Answer:
-10 leading coe and (0, 20) y intercept i think
SOMEONE PLEASE HELP IF YK GEOMETRYYY IVE ASKED THIS QUESTION 3 TIMES NOWW SO PLEASEEE HELP MEEEE
Answers
Answer: what is your question
Step-by-step explanation:
Simplify the expression:
5.2a -(4.5a +4.8a)
Answers
Answer:
-4.1a
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
5.2a - (4.5a + 4.8a)
Step 2: Simplify
Combine like terms: 5.2a - (9.3a)Combine like terms: -4.1awhich graph could represent a function ? ?
Answers
Answer:
The third Graph
Step-by-step explanation:
Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Answer:
The third Graph
Step-by-step explanation:
Hey, I don't want to bother anyone but could someone help me fill in the angle of x?
Answers
Answer:
x = 90°Step-by-step explanation:
diagonal line = 180 = x + 90
180 - 90 = x
90 = x
therefore, x = 90°
You roll a dice twice.
Find the probability of getting 3 in first throw and 5 in second throw.
Answers
Answer:
1/6
Step-by-step explanation:
there are 6 faces on a dice so there's a 1 in 6 chance that you would roll a 3 on your second go there is still only a 1 out of 6 chance of getting a 5 because there is still 6 numbers you could roll on.
hope this helped
Martin has 13 liters of soda.
Each glass can hold of a liter
of soda. How many glasses can
Martin completely fill with soda?
Answers
Answer:
13
Step-by-step explanation: If each glass can hold 1 liter than 13 glasses can hold 13 liters.
help me translate this into an expression!
" Four times the quotient of twice a number and eight "
thank you!
Answers
Answer:
[tex]4(\frac{2x}{8})[/tex]
Step-by-step explanation:
There you go! :)
Find the measure of angle A
Answers
Answer:
it is 60 of right angle
Step-by-step explanation:
there
17x+95=180
17x=85
x=5
Solve using a proportion and an equation. Kendra found the experimental probability of her making a penalty kick in soccer is 3/10 or 30%. Out of 40 penalty kicks, how many could she predict she will make?
Answers
Answer: The predicted number of penalty kicks = 12
Step-by-step explanation:
Given : The experimental probability of her making a penalty kick in soccer is 3/10 or 30%.
So, the proportion of penalty kicks she make = 0.3
Out of 40 penalty kicks, the predicted number of penalty kicks = 0.3 x 40
= 12
Hence, the predicted number of penalty kicks = 12
Factor this polynomial.
-3x^2-16x- 5
Answers
Answer:
B. [tex]-(3x+1) (x+5)[/tex]
Step-by-step explanation
factored the equation to solve. Hope this helps!
1by2 of x-1 by 2 equals 2x what is the valueof x
Answers
Answer:
[tex]x=-\frac{1}{7}[/tex]
Step-by-step explanation:
PLEASE HELP I WILL GIVE YOU BRAINLIEST
Answers
Answer:
50%
Step-by-step explanation:
Use the Product Rule to find the derivative of :
a.[tex]y=(3x-1)^3(2x+5)[/tex]
b. [tex]y=(3x-2)(2x^2+3)[/tex]
Answers
Answer:
see explanation
Step-by-step explanation:
Using the product rule
Given
y = f(x)g(x) , then
[tex]\frac{dy}{dx}[/tex] = f(x).g'(x) + g(x).f'(x) ← product rule
(a)
let
f(x) = (3x - 1)³ , then using the chain rule
f'(x) = 3(3x - 1)² × [tex]\frac{d}{dx}[/tex](3x - 1) = 3(3x - 1)² × 3 = 9(3x - 1)²
let
g(x) = 2x + 5 ⇒ g'(x) = 2
Then
[tex]\frac{dy}{dx}[/tex] = (3x - 1)³ . 2 + (2x + 5) × 9(3x - 1)²
= 2(3x - 1)³ +9(3x - 1)²(2x + 5) ← factor out (3x - 1)²
= (3x - 1)²[ 2(3x - 1) + 9(2x + 5) ]
= (3x - 1)² [ 6x - 2 + 18x + 45 ]
= (3x - 1)²(24x + 43)
--------------------------------------------------------------
(b)
let
f(x) = 3x - 2 ⇒ f'(x) = 3
let
g(x) = 2x² + 3 ⇒ g'(x) = 4x
Then
[tex]\frac{dy}{dx}[/tex] = (3x - 2).4x + (2x² + 3). 3 ← distribute parenthesis
= 12x² - 8x + 6x² + 9
= 12x² - 8x + 9
Note
It is usual to simplify after differentiating the expressions
I need help quick plz
Answers
Answer:
The answer is two places to the right. For every 0 you move the decimal one place. And since the 100 is positive you move the decimal to the right.
Step-by-step explanation:
Answer:
Two places to the right
Step-by-step explanation:
Thus, 6.8×100=680
Can somebody plz help answer these questions correctly thanks! (Grade7math) btw :)
WILL MARK BRAINLIEST WHOEVER ANSWE FIRST :DDD
Answers
Answer:
1. both boxes 3
2. both boxes 7
3. both boxes 5
4. both boxes 2
5. top box 12 bottom 18
6. top box 9 bottom box 11
7. top box 42 bottom box 60
8. top box 4 bottom box 5
Solve for the length of the hypotenuse
Answers
Answer:
5000
Step-by-step explanation:
In a right triangle ,
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] = > c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
where -
c = hypotenusea & b = the other two sides of the triangleAccording to the question , let the hypotenuse of the triangle be 'c' . So ,
[tex]c = \sqrt{ {3000}^{2} + {4000}^{2} } [/tex]
[tex] = > c = \sqrt{9000000 + 16000000} [/tex]
[tex] = > c = \sqrt{25000000} = 5000[/tex]
Hence , c = 5000
Answer:
5000
Step-by-step explanation:
[tex]3000^{2}[/tex] + [tex]4000^{2}[/tex] = 25000000
[tex]\sqrt{25000000}[/tex] = 5000
2.00llons is
equal to how
many liters
Answers
7.571 liters
The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64?
a3 – b3 = (a – b)(a2 + ab + b2)
A. (x – 4)(x2 + 4x + 8)
B. (x – 4)(x2 + 4x + 16)
C. (x – 64)(x2 + 64x + 16)
D. (x – 64)(x2 + 64x + 4,096)
Answers
Answer:
B
Step-by-step explanation:
(x - 4) because a = x and b = 4, subsitute into (a - b)
(x2 + 4x + 16) because if a = x and b = 4, you subsitute them into (a2 + ab + b2) to get your answer
uhm please help me
I’m not really good at Math as you can tell :(
Also: Don’t mind the tabs (^^;)
Answers
Answer:
5 37.50
10 75
hope it helps
Step-by-step explanation:
prove me wrong
Answer:
Lol the you tube tab though XD
Step-by-step explanation:
8-2x=-3+1 solve the question
Answers
10=2x
X=10/2
X=5
The equation ey = 2x is equivalent to .
Answers
Answer: y=In 2x
Step-by-step explanation:
Answer:
The equation ey = 2x is equivalent to
✔ y = ln 2x
.
Step-by-step explanation:
Which statement explains why 49 is a perfect square?
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 betweern 36 and 64
49 is equai to 7 times 7
On edge
Answers
Answer:
the statement that shows that 49 is a perfect square 49 is equal to 7 times 7
Explain the best you can because I’m struggling :)
Answers
Step-by-step explanation:
A. 3x+4/2 = 9.5
3x + 4/2 = 9.5........criss cross
3x+4= 9.5×2
3x = 19-4
3x = 15
x=5 ..........divide both sides by 3
B. 7+ 2x/3= 5.......criss cross
7+2x = 5 × 3
7 + 2x = 15
2x = 15-7
2x = 8......divide both sides by 2
x = 4
PLEASE HELP I NEED THIS ASAP!!!What is the measure of an inscribed angle on a diameter? Move options into the blanks to identify and justify the measure B.
Answers
Answer: 180
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
= 6x^2 - x - 12
6 Answer:
2
−
−
1
2
Step-by-step explanation:
Simplify the expression. Write your answer using an improper fraction
with no spaces.
Answers
Answer: 59/3k+14
Step-by-step explanation: