ntroduction to Functions
Assignment Active
Creating a Function from a Mapping
The mapping shows a relationship between input and
output values.
Input
Output
Which ordered pair could be removed to make this
relation a function?
O (-5,0)
0 (-1, -3)
O (4, -2)
O (6,-1)
Answers
Answer:
To be a function, each input must only have one output. In this case, input 4 has two outputs, so (4 , -2) can be removed for it to be a function.
Let me know if you have any other questions!
The ordered pair (4,2) could be removed to make the given relation a function.
What is the relation?A relation is a function if for every input (x-value) there is exactly one output (y-value).
If there are two or more ordered pairs with the same x-value but different y-values, then the relation is not a function. In this case, one of those ordered pairs would need to be removed in order to make it a function.
As per the question, the relation was given as {(-5,0), (2, -3), (-1, -3), (4, -2), (4, -2), (6,-1)}, the ordered pair (4,-2) would need to be removed because there are two outputs (-2 and 2) for the input of 4.
Thus, removing (4,2) would result in the function.
Learn more about the relations here:
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Related Questions
A number n times 33, decreased by 135, is 360. A number m times 18, added to 90 is 360. Write and solve an equation for each variable. Then compare the values of n and m.
Answers
Answer:
N = 6.8181. and m= 15
Step-by-step explanation:
33n-135=360
33n = 360-135
33n =225
n = 6.8281.
18m+90=360
18m=360-90
18m =270
m= 15
Could someone help me solve this
Answers
And that’s the most you can simplify
Final answer: 6p²-15p
Hope this helps!
If possible do you think you could give brainliest if not it’s all good. Thank you!
Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?
Answers
Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly
(see graph, where red is Pepe and blue is Leo)
Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have:
Pepe and Leo deposit money into their savings accounts at the end of each month.
From the table, we can plot a graph on a coordinate plane.
As we can see in the graph:
Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.
Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.
Learn more about the exponential function here:
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Can somebody help me with this question
Answers
Answer:
900°
Step-by-step explanation:
The interior angles sum = 180° ( n - 2 )
~~~~~~~~
n = 7
180° ( 7 - 2 ) = 900°
Answer:
900 degrees
Step-by-step explanation:
just apply the formulas discussed in class !
The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
The number of triangles in each polygon is two less than the number of sides.
The formula for calculating the sum of interior angles is:
(n−2)×180∘ (where n is the number of sides)
in our case we have 7 sides.
so, we could split this polygon into 5 triangles.
each of these triangles would have an angle sum of 180°.
so, the angle sum of the polygon is
5×180 = 900°
if wu feed cat 1 time and got $5 so how much wu will earn over the winter if he feed the cat 13 times
Answers
Answer:
65
Step-by-step explanation:
1=5
13=x
1x=5x13
1x=65
divide both sides by 1
x=65
The measurements of a triangle are given. Is there exactly one triangle that can be formed using the given measurements? If so, identify the appropriate triangle congruence postulate.
∆ABC : m ∠A = 90°, AB = 15, AC = 15
A)No, More than one triangle could be made with these measures
B)Yes, SSS congruency
C)Yes, ASA congruency
D)Yes, SAS congruency
Answers
no, more than one triangle could be made with these measures
sss
[tex]4 - \frac{2}{3}x = \frac{x - 6}{5} [/tex]
x=? Please tell
Answers
Answer: X=6
What is the slope of the line in the graph?
Answers
Hope your day is good
(0,1) (-4,4)
4-1/ -4 -1
3/ -5
-1.6 is the slope
Fraction form is 3/-5
Hope this helps *smiles*
Simplify. Rewrite the expression in the form x^n (x^2)^{4}
Answers
Answer:
x^8
Step-by-step explanation:
(x^2)^{4}
We know a^b^c = a^(b*c)
x^(2*4)
x^8
Answer:
x^8 <33
Step-by-step explanation:
Complete to get an equal ratio
3x/y = ? /2y
Answers
Answer:
6x
Step-by-step explanation:
3x/y=x/2y
Since 2y is 2X greater than y, 6x is 2X greater than 3x.
So,
The answer is 6x.
Can someone help me with this plz plz pls
Answers
56/11=5.09090909090.......
50/9=5.5555........
7/9=0.777777.......
Write the gradient and the y intercept of the line y=-2x +4
Answers
Answer:
[tex]{ \bf{gradient = { \boxed{ - 2}}}} \\ \\ { \bf{y - intercept = { \boxed{4}}}}[/tex]
What is the solution to this equation?
-13x = 78
O A. x=-5
B. X= 5
O C. x = 6
O D. x= -6
Help?
Answers
Answer:
-6
Step-by-step explanation:
you have to divide both sides by -13
-13x/-13=78/-13
x=-6
remember that the sign also matters.
I hope this helps
there are two pots of milk containing 20 liters and 24 liters respectively .find the capacity of the largest container that can measure exactly milk both the cans
Answers
Answer:
A can with capacity 44 litres
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
489
X
96°
x =
degrees
Answers
Answer:
x=144°
Step-by-step explanation:
To work out x, you have to find the other angle in the triangle.
Angles in triangles always add up to 180°, so you would have to add up the 2 angles you have and take it away from 180°.
48+96=144°
180-144=36°
Then, to find x, you have to do 180-36 because angles on a straight line always add up to 180°.
180-36=144°
x=144°
Hope this helps :)
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
So,[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 96 \degree \: + \: 48 \degree }}} \\ [/tex]
[tex]\large\bf{{\red{ \longrightarrow \:\large\rm \: x \: = \: 144 \degree }}} \\ [/tex]
58×62 without actual multiplication
Answers
Answer:
3596
Step-by-step explanation:
Use long multiplication to evaluate.
Answer:
3596
Step-by-step explanation:
(58*10) = 580
580*6 = 3480
58 * 2 = 116
3480 + 116 = 3596
A carton of 24 bottles of sports drink costs $16. How many bottles of sports drink can you get
with $12
Answers
Answer:
8
Step-by-step explanation:
24 bottles = 16 dollars!
? bottles = 12 dollars
Note:
In these type of Questions, find out any dollars you could get with 1 bottle
or in simple terms, (first find the unit Rate)
24/16 = 1.5
1 bottle = 1.5 dollars
? bottles = 12 Dollars?
12/1.5
= 8
I hope that helps! Have a wonderful day!What’s 304.9% as a decimal
Answers
Answer:
3.049
Step-by-step explanation:
PLEASE HELP ME PLEASE PLEASE
Torren deposits $4500 in an account earning 2% interest, compounded
annually. The equation that represents this situation is:
A(n) = 4500(1 + 0.02)" - 1
How much will he have in the account at the beginning of year 9? Round your
answer to the nearest dollar.
Answers
An amount of $ 5272 he will have in the account at the beginning of year 9. Option D is corect.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The expression is;
[tex]\rm A(n) = 4500(1+0.02)^{n-1}[/tex]
At the beginning of 9-year value of n is 9,substitute the value to get he amount;
[tex]\rm A(n) = 4500(1+0.02)^{n-1} \\\\ \rm A(n) = 4500(1+0.02)^{9-1} \\\\ A(n) = \$ 5272[/tex]
Hence, option D is corect.
To learn more, about equations, refer;
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A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
Answers
Answer:
Hello,
Step-by-step explanation:
Part A:
Yes
Since
y=f(x)
f(0)=4
f(1)=7 : f(1)=f(0)+1*3
f(2)=10= 7+3 : f(2)=f(1)+3 =f(0)+2*3
f(3)=13=10+3: f(3)=f(2)+3=f(0)+3*3
...
f(9)=31=28+3=f(8)+3=f(0)+9*3
f(n)=f(0)+n*3=4+n*3
Part B: y=3x+4
Part C: slope=3 , y-intercept=4
The slope indicate the grow of the plant (how many cm does it grow in function of the height it receives)
y-intercept indicate the original height of the plant.
PLEASE ANSWER, DUE IN 10 MINUTES!!!!
Answers
Answer:
hello,
Step-by-step explanation:
height=23*tan(30°)=0.56*23=12.88 (ft)
Ten tiles numbered 1 through 10 are turned face down. One tile is turned up at random, and a die is rolled and the number is square. What is the probability, written as a percent, that the product of the numbers on the tile and the die will be a perfect cube?
Answers
Answer:
18.33333333%. Please mark as brainliest if I’m Correct. :)
Step-by-step explanation:
find the radius of a circle if the circumference is 44cm. (take π=22/7)
Answers
Answer:
The radius of the circle if the circumference is 44 cm will be 7 cm.
Step-by-step explanation:
➝ Circumference of the circle = 44 cm
➔ Circumference = 2πr [For finding radius]
Finding the radius:-
➜ Let radius be r.
➜ 44 = 2 × 22/7 × r
➜ Multiply 2 × 22/7
➜ 44 = 44/7 × r
➜ Taking 7 to LHS.
➜ 44 × 7 = 44 × r
➜ 308 = 44 × r
➜ Taking 44 to LHS.
➜ 308/44 = r
➜ 308/44 = 7
➜ 7 = r
➜ r = 7
help please...what is the locus of the midpoints of all chords that can be drawn from a given point on a circle with a radius of 6. be exact with your answer.
Answers
Answer:
the answer is a
Step-by-step explanation:
sory lawl
i mean e
answer e!
good luck w summer geometoery
1. A department store kept records of how many fans were sold each day and the high temperature for that day. The results are shown in the scatterplot. Answer the questions about the scatterplot.
a. What is the explanatory variable (independent variable)? (1 point)
b. What is the response variable (dependent variable)? (1 point)
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Answers
Answer:
a. What is the explanatory variable (independent variable)? (1 point)
Number of fans sold.
b. What is the response variable (dependent variable)? (1 point)
Outside temperature.
c. Circle the best range for the correlation coefficient. (1 point)
(–1 to –0.7) (–0.7 to –0.3) (–0.3 to 0) (0 to 0.3) (0.3 to 0.7) (0.7 to 1.0)
d. Based on this scatterplot, does a rise in temperature cause more fans to be sold? Why or why not? (3 points)
Yes because a rise in temperature causes fan sales to go up because people buy fans when it’s hot to cool off.
Step-by-step explanation:
I got it right on AP3X. Hope this helps!
FOR BRAINLIEST!!!!ASAP
19) One number is 9 more than another. Their product is 11 more than five times their sum.
Find the numbers.
Answers
Answer:
-7 and 2 or 8 and 17
Step-by-step explanation:
If we let the numbers be [tex]x[/tex] and [tex]x+9[/tex], the equation to solve this problem will be as follows:
[tex]x(x+9)=5(x+x+9)+11[/tex]
Solving the equation for [tex]x[/tex], we get:
[tex]x(x+9)=5(x+x+9)+11[/tex]
[tex]x(x+9)=5(2x+9)+11[/tex] (Combine like terms)
[tex]x^{2} +9x=10x+45+11[/tex] (Use the Distributive Property of Multiplication to multiply expressions)
[tex]x^{2} +9x=10x+56[/tex] (Combine like terms)
[tex]x^{2} -x-56=0[/tex] (Subtract [tex]10x[/tex] and [tex]56[/tex] from both sides of the equation)
[tex]x^{2} -8x+7x-56[/tex] (Split [tex]-x[/tex])
[tex]x(x-8)+7(x-8)=0[/tex] (Factor by taking a common term out)
[tex](x-8)(x+7)=0[/tex] (Factor by taking a common term out)
[tex]x-8=0[/tex] or [tex]x+7=0[/tex] (Use the Zero Product Property)
[tex]x=8[/tex] or [tex]x=-7[/tex]
Therefore, the first number could be either -7 or 8, and the second number could be -7 + 9 = 2 or 8 + 9 = 17, respectively. Hope this helps!
13 + {16 + 2 -[25 + 45) x 3] + 9}
Answers
Answer: -170
Concept:
When encountering questions that require multiple steps of the calculation, it is suggested to follow the PEMDAS.
ParenthesisExponentsMultiplicationDivisionAdditionSubtractionSolve:
**Disclaimer** I assume that it is supposed to be (25 + 45). If it was, then you may refer to my answer. If the ")" after 45 is just a typo, you may point it out and I will redo it.
Given expression
13 + {16 + 2 - [(25 + 45) × 3] + 9}
Do the parenthesis of the inner most
=13 + {16 + 2 - [70 × 3] + 9}
=13 + {16 + 2 - 210 + 9}
Do addition first, then subtraction
=13 + {18 - 210 + 9}
=13 + {27 - 210}
=13 - 183
=-170
Hope this helps!! :)
Please let me know if you have any questions
Is 9/72 rational or irrational
Answers
i think answer is rational
Answer:
Rational
Step-by-step explanation:
The Numerator and Denominator is a whole number and its a fraction
If I start a road trip with 10,425 miles on my auto meter and I end it with 23,840 miles showing how many miles was my trip
Answers
Answer:
13,415 miles
Step-by-step explanation:
Final position - initial position = Miles traveled:
23,840 miles - 10,425 miles = 13,415 miles
helphelphelphelphelphelp
Answers
Answer:
E - (8,-9)
F - (9,-9)
G - (9,-4)
Step-by-step explanation:
The first number in the bracket relates to the x-axis
The second number relates to the y-axis
