Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
Set B
-3
7
-4
4
2
-2
The mapping diagram above does NOT represent a function since
for each number Jin Set A (the input) there are multiple mappings
from Set A (the input).
Answers
Answer:
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function
Step-by-step explanation:
The relation is a function if and only if each input value has only 1 output value
Examples:
The relation {(1, 2), (-3, 5), (0, 10)} is a function because every input has only one output, the input 1 has only output 2, the input -3 has only output 5, the input 0 has only output 10The relation {(-1, -2), (3, -5), (-1, 1)} is not a function because the input -1 has two outputs -2 and 1Let us solve the question
Use the given figure to find the inputs and their corresponding outputs
Set A →→→→ Set B
∵ -3 →→→→ 2
∵ -4 →→→→ 4
∵ 9 →→→→ -2
∵ 1 →→→→ 7
∵ Set A is the input and set B is the output
∵ There is only one arrow go from each value in set A to a value in set B
∴ For each number in set A, there is one mapping from set A to set B
∴ The mapping represents a function
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function
Related Questions
What is 17 : 3 to 740
Answers
Answer:
629 : 111
Step-by-step explanation:
17 + 3 = 20
20 goes into 740 exactly 37 times.
So what you are looking for is:
17 x 37 : 3 x 37
Which makes your answer:
629 : 111
let me know if this helps!!
The formula for the area A of a triangle is A=(1/2)bh, where b is the length of the base and h is the height. Rearrange the formula to solve for b and select the correct option below (A) b=A/(2h) (B) b=2Ah (C) b=(1/2)Ah (D) b=2A/h
Answers
Answer:
[tex]b=\dfrac{2A}{h}[/tex]
Step-by-step explanation:
The formula for the area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh[/tex] ...(1)
Where b is the length of the base and h is the height.
We need to find the value of b from the above formula.
Cross multiplying equation (1) we get :
[tex]2A=bh[/tex]
Now dividing both sides by h. So,
[tex]\dfrac{2A}{h}=\dfrac{bh}{h}\\\\b=\dfrac{2A}{h}[/tex]
So, the correct option is (D) i.e. [tex]\dfrac{2A}{h}[/tex].
f(x) = 2x^3 g(x) = x-3
find f(2)
find g(4)
find (f+g) (x)
Answers
[tex]f(x) = 2 {x}^{3} [/tex]
[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]
_________________________________
[tex]g(x) = x - 3[/tex]
[tex]g(4) = 4 - 3 = 1[/tex]
_________________________________
[tex](f + g)(x) = f(x) + g(x) [/tex]
[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]
_________________________________
Done...♥️♥️♥️♥️♥️
Find the perimeter of the figure if the following
is true:
a = x2
b = 4x + 8
c = 2x²
d = x
Answers
Consider the following cost function.
A. Find the average cost and marginal cost functions.
B. Determine the average and marginal cost when x = a.
C. Interpret the values obtained in part (b).
C(x) = 1000 + 0.1x, 0 ≤ x ≤ 50000 ≤ x ≤ 5000, a = 2000
Answers
Answer:
a)Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]
Marginal cost function =[tex]C'x=0.1[/tex]
b) [tex]\bar{C(2000)}=0.6[/tex]
[tex]C'(2000)=0.1[/tex]
c)[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
Step-by-step explanation:
Cost function: [tex]C(x) = 1000 + 0.1x[/tex]
a)Find the average cost and marginal cost functions.
Average cost function =[tex]\bar{C(x)}=\frac{C(x)}{x}[/tex]
Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}[/tex]
Marginal cost function =[tex]C'x=0.1[/tex]
b) Determine the average and marginal cost when x = a.
a = 2000
Average cost function =[tex]\bar{C(x)}=\frac{1000+0.1x}{x}=\frac{1000+0.1a}{a}=\frac{1000+0.1(2000)}{2000}=0.6[/tex]
So, [tex]\bar{C(2000)}=0.6[/tex]
Marginal cost function =[tex]C'(2000)=0.1[/tex]
c)Interpret the values obtained in part (b).
[tex]\bar{C(2000)}=0.6[/tex] is the average cost to produce first 2000 items
C'(2000)=0.1 is the marginal cost to produce 2001 th item
mary is twice as old as ayana.ayana is five years younger than jaime.jaime is 12 years old. how old is mary?
Answers
Answer:
14
Step-by-step explanation
We should work backwards here. Jamie is 12, and ayana is five years younger than jamie. This means that ayana is 7 years old. Mary is twice as old as the 7 year old ayana, which means that Mary is 14 years old.
Answer:
Mary is 14
Step-by-step explanation:
if jaime is 12 and ayana is 5 years younger then that equals to 7. and 7x2=14
Consider these three numbers written in scientific notation.
1.67
9.7
4.5
Which shows the numbers in order from least to greatest?
A. 1.67 , 9.7 , 4.5
B. 4.5 , 9.7 , 1.67
C. 1.67 , 4.5 , 9.7
D. 9.7 , 4.5 , 1.67
Answers
The correct order from least to greatest is:
9.7 x 10^-6.1.67 x 10^4.4.5 x 10^9.What is scientific notation?Scientific notation is a system that simplifies very big or small numbers by using 10^... In this case, the number multiplied by the power of 10 indicates the number of 0 or digits before the period (.) in case the number is negative or after the period (.) in case, the number is a positive integer.
Numbers in scientific notation to standard form:
To understand which number is the smallest/greatest let's convert these numbers to regular notation:
1.67 x 10^4 = 167009.7 x 10^-6 = 0.00000974.5 x 10^9 = 4500000000Based on this, the correct order is:
9.7 x 10^-6.1.67 x 10^4.4.5 x 10^9.Note: This question is incomplete because the complete numbers are not provided. Here is the missing section.
Consider these three numbers written in scientific notation.
1.67 x 10^4
9.7 x 10^-6
4.5 x 10^9
Learn more about numbers in: https://brainly.com/question/17429689
Answer:A. 115
B. 200
C. 11,500
D. 20,000
Step-by-step explanation:
Order the fractions 1/2, -2/3, -3/8 0 from least to greatest
Answers
Answer:
-2/3, -3/8, 0, 1/2
Step-by-step explanation:
what is the value of x (3x-3) 6(x-10)
Answers
Answer:
x = 21
Step-by-step explanation:
The function that represents the amount of caffeine in milligrams remaining
Answers
Answer:
Step-by-step explanation:
The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.
Answer:
If you are referring to a logarithmic function with a continuous rate of decrease(as implied by remaining), then here is your answer:
A(t) = c×e^(dt)
where c is the starting amount of caffeine in miligrams, e is euler's number (base of a natural logarithm), and d is continuous rate of logarithmic change(as a percentage decay(negative)) per t(time) in standard unit of time(i.e hours)
I.e(for instance): if you are given a cup of coffee with an initial 190 mg of caffeine, leaving the body at a rate of 36% every hour.
This relationship solving for the remaining miligrams can be given by:
A(t) = 190 mg × e ^ (-.36t)
Where t is the amount of hours.
What is the relationship between the 5’s in 345,502
Answers
for a review, help would be appreciated (:
Answers
Answer:
Blurry as'.'s picture I cant see nothin
Step-by-step explanation:
Say that Malaysia has a workforce of 11,071,016, with an average yearly salary of (equivalent US dollars) $15,196. How much more revenue will the Malaysian government gather if it sets the income tax at 17% than if it sets the income tax at 8%, to the nearest million dollars? a. $21,059 million b. $16,824 million c. $15,141 million d. $13,459 million
Answers
Answer:
c. $15,141 million
Step-by-step explanation:
Population = 11,071,016
Average salary = $15,196
Tax rate 1 = 17%
Tax rate 2 = 8%
Revenue from tax :
Tax rate * average salary * population
To obtain the revenue difference :
(11,071,016 × $15196 × 17%) − (8% × $15196 × 11,071,016)
= $15,141,164,322.24
Answer:
c.
$15,141 million
Step-by-step explanation:
marina wants to make 6 dozen cookies for the school bake sale. how much milk and mix does she need?
Number of cookies: 24
amount of mix: 2 1/2
amount of milk: 1 1/4
Answers
what is /4 of 3/4 =
What is 1/4 of 3/4
Answers
Answer:
3/16
Step-by-step explanation:
1/4 of 3/4 is just another way of saying (1/4)*(3/4). When multiplying fractions, you must multiply the numerators and denominators to get the product so the numerator of the products is 1*3 and the denominator is 4*4 to get:
3/16
Answer:
3/16
Step-by-step explanation:
1/4 of 3/4
= 1/4 × 3/4
you multipy the numerators together and then multiply both denominators
ie. 1×3 divided by 4×4
= 3/16
There are 100 students at a school and three dormitories A, B, and C with capacities of 25, 35, and 40, respectively.
Required:
a. How many ways are there to fill up the dormitories?
b. Suppose that, of the 100 students, 50 are men and 50 arewomen and that A is an all-men's dorm, B is an all-women's dorm andC is co-ed. How many ways are there to fill thedormitories?
Answers
Answer:
a
[tex]N = 7.0 *10^{44} \ Ways [/tex]
b
[tex]U = 2.85 *10^{26}\ ways [/tex]
Step-by-step explanation:
From the question we are told that
The number of students are n = 100
The number of dormitories is k = 3
The capacity of the first dormitory is A = 25
The capacity of the second dormitory is B = 35
The capacity of the third dormitory is c = 40
Generally the number of way to fill the dormitory up is mathematically represented as
[tex]N = \frac{n!}{A! B!C!}[/tex]
=> [tex]N = \frac{100!}{25! 35! 40!}[/tex]
Here ! stands for factorial, so we will be making use of the factorial functionality in our calculators to evaluated the above equation
=> [tex]N = \frac{100!}{25! 35! 40!}[/tex]
[tex]N = \frac{9.332622* 10^{157}}{[1.551121* 10^{25}]* [1.0333148* 10^{40}] * [8.1591528*10^{47}]}[/tex]
[tex]N = 7.0 *10^{44} \ Ways [/tex]
From the question we are told that there are 50 men and 50 women and
A is all-men's dorm and B is all-women's dorm while C is co-ed
So
When A is filled , the number of men that will be remaining to fill dorm C is 50-25 = 25
While when B is filled the number of women that will be remaining to fill dorm C is 50-35 = 15
Generally the number of ways there to fill the dormitories is equivalent to the number of ways of selecting the 25 men and 35 women to fill dormitory A and B plus one more way which is filling dorm C with the remaining students this is mathematically represented as
[tex]U = ^{50}C_{35} * ^{50}C_{25} + 1[/tex]
Here C stands for combination hence we will be making use of the combination functionality in our calculators
[tex]U = 2.250829575* ^{12} * 1.264106064 * 10^{14} + 1[/tex]
=> [tex]U = 2.85 *10^{26}\ ways [/tex]
A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used, x ?
Answers
Answer: 3cups
Step-by-step explanation:
List all of the solutions.
3cups = 48 = y = cups = x =
Answer:
3cups
Step-by-step explanation:
please help me with this .
i’m going to give out the brainly thingy
Answers
Answer:
Comment if you ready for me to give you an answer
Also message me please.
Step-by-step explanation:
Answer
B
Step-by-step explanation:
Basically divide the Number of Candles by the price.
A) $2.40/2 = $1.20
B) $3.50/5 = $0.70
C) $8.00/10 = $0.80
D)$9.48/12 = $0.79
B cost the least at $0.70
Find the missing angles.
Answers
Answer:
150
Step-by-step explanation:
Round 5.951 to the place value of the underlined digit ( underlined digit is 9)
6.0
6.9
5.95
5.9
Answers
Answer:
A.) 6.0
Step-by-step explanation:
I dont explain very well, but..
if the next number is above or it is 5, then u round up
Jeff places a pineapple with mass of 890g on a balance scale. He balances the scale by placing 2 oranges, an apple and lemon on other side. Each orange weighs 280g. The lemon weighs 195g less than each orange. What is the mass of the apple?
Answers
Answer:
bnbvmnbnjnmbkjbvkjhbjn
Step-by-step explanation:
lnjkkllknnhljknk
What is the solution to this equation?
10x- 15x+ 5 = -45 + 20
O A. x = 4
B. X= -6
C. x=-4
O D. x = 6
Answers
Step-by-step explanation:
[tex]10x - 15x + 5 = - 45 + 20 \\ or \: 10x - 15x = - 45 + 20 - 5 \\ or \: - 5x = - 45 + 15 \\ or \: - 5x = - 30 \\ or \: \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} \\ or \: x = 6 \\ \\ therefore \: the \: value \: of \: x \: is \: 6.[/tex]
D. The value of X is 6. I hopes it helps you ☺️.......Thank you ☺️
When Andy goes to the shop ,he finds that:
The regular price of a single candy bar is 79 cents.
Packs of 5 candy bar cost $3.
There is a special offer of “buy two get one free”.
Question 1.find the cost of buying 20 single candy bars at the regular price.
Question 2.how much will Andy pay if he buys 20 candy bars in packs of 5?
Question 3.find the cost of buying 20 candy bars at the special price.
Answers
Answer:
1. $15.80
2. $12
3. $11.06
Step-by-step explanation:
Step-by-step explanation:
1. Buying 20 single candy bars at regular price
The regular price of one is 79 cents.
(# of bars) X (price per bar) = regular price
20 X 79 cents = 1580 cents
1580 cents = $15.80
2. Buying 20 bars in packs of 5
Each pack is $3
(# of packs) X (price per pack) = pack price
(20/5) X ($3) = pack price
4 X $3 = $12
3. Buying 20 bars at special price
For every 2 bought, 1 is free.
(Number of bars paid for) X (price per bar) = special price
(2(20/3)) X (0.79) = special price
14 X 0.79 = $11.06
Because for every 2 bars that are paid for, 1 is free, he pays for 14 bars and he gets the 21st free.
Andy's 20 regular priced candy bars are $15.80, bars in packs are $12, and bars at the special price is $11.06.
Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 2 liters per minute. Which equation below best represents how many minutes, m, will it take for the two containers to have the same amount of water?
Answers
Answer:
There is no equation?
Step-by-step explanation:
Suppose that a sample of n students at the same university (instead of n) determines that % of the sample use the web browser. At the level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of %?
Answers
Complete Question
The worldwide market share for a web browser was 20.5% in a recent month. Suppose that a sample of 200 random students at a certain university finds that 50 use the browser.
At the 0.05 level of significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5%?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.205[/tex]
The sample size is n = 200
The number that uses the browser is k = 50
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{50}{200}[/tex]
=> [tex]\^ p = 0.250[/tex]
The null hypothesis is [tex]H_o : p = 0.205[/tex]
The alternative hypothesis is [tex]H_a : p > 0.205[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{ \^ p - p }{ \sqrt{ \frac{ p (1 - p )}{ n} } }[/tex]
=> [tex]z = \frac{ 0.250 - 0.205 }{ \sqrt{ \frac{ 0.205 (1 - 0.205 )}{ 200} } }[/tex]
=> [tex]z = 1.5764[/tex]
Generally the area under [tex]z = 1.5764[/tex] to the right is
[tex]p-value = P( Z > 1.5764 ) = 0.057467[/tex]
From the value we obtained we can see that the [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the market share for the web browser at the university is greater than the worldwide market share of 20.5 %?
Martha earns $24 in four hours. How much would she
earn in 10 hours?
Answers
Answer:
$60
Step-by-step explanation:
24/4=6
6*10=60
Answer:
$60
Step-by-step explanation:
24 ÷ 4 = 6
6 × 10 = 24
she makes $6 an hour. $60 in ten hours.
Melissa and Tomas are playing a game with complex numbers. If Melissa has a score of 5 – 4i and Tomas has a score of 3 + 2i, what is their total score?
Answers
Answer:
8 - 2i
Step-by-step explanation:
Just add the real parts together and then add the imaginary parts together
5 + 3 = 8
-4i + 2i = -2i
8 - 2i
Answer:
8-2i
Step-by-step explanation:
2.549 miles can be rounded to 3 miles and 2.5 miles.Explain how its true.
Answers
Answer:
If you round 2.549 miles to 3, you are rounding it to the nearest ones place(whole number). 2.549 rounded to the nearest tenth, however, is 2.5 because 2.549 is being rounded to the tenth decimal place.
Step-by-step explanation:
Answer:
You can either round it up to the tenths place or you can use the tenths place to round the 2 up to 3.
For statistical tests of significance about the coefficients, the null hypothesis is that the slope is 1. True False
Answers
Graph the parabola.
y = 3x + 6x-3
Answers
Answer:
15
Step-by-step explanation:
