Answers
Answer:
A function is a relation that maps elements from one set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs). Such that each element of the domain can be mapped into only one element of the range.
Now let's analyze the given relations.
1)
Here we can see that the inputs are -3, -1, 1, and 2.
Then the domain (the set of the inputs) is:
D = {-3, -1, 1, 2}
And we can see that the outputs are 0, 2, and 5.
Then the range is:
R = {0, 2, 5}
We also can see that each input is being mapped into only one output, then this relation is a function.
2) In this case the inputs are -2, -3, and 5.
Then the domain is:
D = {-2, -3, 5}
And the outputs are 6, 7, 8
Then the range is:
R = {6, 7, 8}
And we can see that each input is mapped into only one output, then this relation is a function.
3) In this case we can see that the inputs are -4, -2, and 0
Then the domain is:
D = {-4, -2, 0}
And we can see that the outputs are -2, -1, 3, and 4.
Then the range is:
R = {-2, -1, 3, 4}
In this case, we can see that the input -4 is being mapped into two different outputs (3 and -1)
Then this relation is not a function.
Related Questions
Remove the brackets using the distributive law for the following: 5(4x - 3y) - 4(4x - 3y)
Answers
Answer:
4x - 3yStep-by-step explanation:
5(4x - 3y) - 4(4x - 3y)
= 5 × 4x - 5 × 3y - 4 × 4x + 4 × 3y
= 20x - 15y - 16x + 12y
= 20x - 16x - 15y + 12y
= 4x - 3y (Ans)
Using the formula below, calculate the z-score for the listed data points. z-score: zx = x − μ σ z1 = z5 = z6.5 =
Answers
Answer:
z1 = -1.95
z5 = 0.05
z6.5 = 0.8
Step-by-step explanation:
The value of the z score for a mean of 4 and standard deviation is 1.
What is Z score?The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ)/σ
Where x is the raw score, μ is the mean and σ is the standard deviation.
Let us assume that μ = 4, σ = 2, hence for x = 6:
z = (6 - 4) / 2 = 1
The value of the z score for a mean of 4 and standard deviation is 1.
Find out more on Z score at: https://brainly.com/question/25638875
Ahh help, I need this question due in 10 mins-
Answers
What is the volume...no links as the answer. Please help asap this is urgent.
Answers
let me just stop to think
Ashley's bill from Red Lobster was $14.95. She
left a 15% tip, what was the total amount she
paid out?
Answers
Answer:
14.89
Step-by-step explanation:
A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the population be after 9 years?
Answers
Answer:
546,397 people
Step-by-step explanation:
We solve for the above question, using the formula for Exponential growth
The formula is given as
P(t) = Po (1 + r)^t
Po = Initial population = 310,000
r = Exponential growth rate = 6.5% = 0.065
t = Time in years = 9
P(t) = Population size after time t
Hence:
P(t) = 310,000 × (1 + 0.065)⁹
P(t) = 546,396.82088 people
Approximately =546,397 people
The population will be 546,397 people after 9 years.
In Mr. Hamilton's classroom, there are 16 supply boxes in the cabinet. Each supply box
contains the same number of markers, and there are 192 markers in all. Let m be the
number of markers in each supply box. Write and solve an equation to find m.
Answers
Answer:
12
Step-by-step explanation:
192/16=12
Please help if you know the answer thank you
Answers
Answer:
a
Step-by-step explanation:
a
Answer: 4 4/10
Step-by-step explanation:
4 4/10 as an Improper fraction is 44/10, 32/10 is less then 44/10.
Easy to Find, a computer data base, charges $30/h during peak hours to access its records. The charge during off-peak hours is
$12/h. Indigo Research was billed $876.00 last month fc
hours charged for usage during peak times.
40 hours of access time. Using a system of equations, find the number of hours charged for usage during peak time
Answers
Two sides of a triangle have length 10 and 17. What is the range of the length of the 3rd side
Answers
Answer:
13.7477270849 to 19.7230829233.
Step-by-step explanation:
1. Using the pythagorean theorem, a²+b²=c², we try different combinations of given lengths 10 and 17.
2. If 10 and 17 are legs and 10²+17²=√389 = 19.7230829233, then c=19.7230829233.
3. If 10 is a leg and 17 is a hypotenuse,
10²+b²=17²
100+b²=289
b²=189
b=13.7477270849
4. The case of 17 is a leg and 10 is a hypotenuse is not possible because the hypotenuse is the longest side.
5. The range of the length of the 3rd side is 13.7477270849 to 19.7230829233.
Suppose a study estimated that 61% of the residents of a community (with an
error range of 18 percentage points at 95% confidence) favor replacing the
playground equipment. Which of the following percentages of the
community's residents may favor replacing the playground equipment?
A. 82%
B. 54%
C. 72%
D. 95%
Answers
Finding the confidence interval, it is found that the percentages of residents that may favor replacing the equipment is be given by:
B. 54%.
What is a confidence interval?The interval is given by the estimate plus/minus the margin of error. The range is twice the margin of error.
In this problem, we have that:
The estimate is of 61%.Since the range is of 18%, the margin of error is of 9%.Hence the interval is given by:
(61% - 9%, 61% + 9%) = (52%, 70%).
Each of the values in the interval can be the percentage, hence option B is correct.
More can be learned about confidence intervals at https://brainly.com/question/15712887
#SPJ1
Can someone help with these two questions?
Answers
Joseph reads 12 pages in 84 minutes. Assume Joseph reads at a constant speed. Write the number of minutes it takes Joseph to read 1 page.
Answers
Answer:
I think 7
Step-by-step explanation:
84 divided by 12 is 7
There are 5 trucks for every 8 cars in a parking lot. If there are a total of 112 cars in the parking lot. How many trucks are there?
the
Answers
Answer:
There are 70 trucks
Step-by-step explanation:
trucks : cars:
5 8
Take 112 cars and divide by 8 cars
112/8 =14
We need to multiply each number by 14
trucks : cars:
5*14 8*14
70 112
There are 70 trucks
Answer PLEASE zoom in the photo to see
Answers
Answer: b
Step-by-step explanation: times the # teachers by 20
PLEASE HELP ILL GIVE BR4AINLIEST]
PLEASSE SHWO WORK I GOT IT WRONG
Answers
Answer:
16%
Step-by-step explanation:
Answer:
16% you just have to guess till you get it right
85*0.16=13.60
Step-by-step explanation:
. Evaluate the following: |15 - 47] + 9 - (-2)(-4) - 17|
Answers
Answer:
48
Step-by-step explanation:
Since there is an absolute value, the answer must be positive. Multiply 2 by 8 since two negatives equal a positive. So, |15-47 + 9 - 8 -17|. Then add and subtract to get the answer. -32 + 9 - 8 -17 = -48. |-48| = 48
Answer: 50
Step-by-step explanation:
Identify the place of the
3
in 24.936
Answers
Answer:
hundredths place
Step-by-step explanation:
When using decimals we determine by
Tens,ones.Hundredths,Thousandths, etc
Answer:
Hundredths Place
Step-by-step explanation:
Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute
Answers
Answer:
80 ft
Step-by-step explanation:
Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.
I need help. i cant figure it out. please someone help.
Answers
Answer:
Step-by-step explanation:
Answer:
.eooekekenenenenesususu
PLSSSS HELPPPPPP 20 POINTS
the 180 days of school last year. Grace was absent 15 days . What percent of the days was she absent
Answers
please answer asap!!
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y= (blank)x^2 + (blank)x + (blank)
Answers
Answer:
-5
Step-by-step explanation:
Complete the factorization of 3x2 – 5x + 2
.
Answers
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answers
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
Anyone have any idea what the answer could be?
Answers
Answer:
y = -1/4x -1
Step-by-step explanation:
Mathematically, we have the slope intercept form as;
y = mx + b
where m is the slope and b is the y-intercept
from the question;
m is -1/4
So we have :
y = -1/4x + b
To get the value of b, we substitute the coordinates given and solve for b
Firstly, multiply through by 4
That will
give ;
4y = -x + 4b
4(-4) = -12 + 4b
-16 = -12 + 4b
-16 + 12 = 4b
4b = -4
b = -4/4
b = -1
So the equation in the slope intercept form is;
y = -1/4x -1
What fraction, decimal or percent. Is equivalent to 9/9
Answers
Answer:
1/1
1.0
100%
Step-by-step explanation:
Answer:
9/9 is the same as 1
Step-by-step explanation:
9/9 = 1/1
= 1.0
= 1
= 100%
The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest interest rate.
Answers
Answer:
Interest rate = 2.41%
Step-by-step explanation:
The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.
The formula to calculate the Interest rate for a Compound Interest is given as:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 12 × [(305.33/240.00)^1/(12)(10) - 1]
r = 0.0240996
Then convert r to R as a percentage
R = r * 100
R = 0.0240996 * 100
R = 2.41%/year
Therefore, the Interest rate = 2.41%
Dog food bad contains 18 cups to fill it up his friend dog eats 1 1/2 each day he says he'll be able to feed his dog for 27 days that true?
Answers
Answer:
It's not true because 18 cups will only last 12 days, not 27 days.
Step-by-step explanation:
1 1/2 = 3/2
3/2(27) = 40.5 cups
18 = 3/2c
c = 12
Find the circumference
Answers
Answer:
circumference:
2 × 3.14 × 5.8m = the circumference ** (use your calculator here, ill die if I in do this)
what is the quotient of the fractions below? 7/2 divided by 1/3