Answers
Answer:
Table 1 does not represent a function.
Table 2 does not represent a function.
Step-by-step explanation:
Table 1
Input (x) 1 3 5 5 9
Output (y) 7 16 19 20 28
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Table 1 indicates that x = 5 is repeated twice. In other words, the input x = 5 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, table 1 does not represent a function.
Table 2
Input (x) 0.5 7 7 12 15
Output (y) 1 15 10 23 30
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
Table 2 indicates that x = 7 is repeated twice. In other words, the input x = 7 is duplicated and we know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, table 2 does not represent a function.
Conclusion:
We have concluded that both tables do not represent the function.
Related Questions
BRAIN TWISTER/6TH GRADE MATH
Create (1) mathematical problem or mathematical sentence where the answer is "46". For the variables, use t = 3 and h= 5 or t and h for equations.
Answers
When t = 3 and h = 5
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
Answers
someone please help
f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]
Answers
9514 1404 393
Answer:
f(g(x)) = 50x² +140x +93
Step-by-step explanation:
Put the function argument in place of x and simplify.
f(g(x)) = f(5x+7) = 2(5x+7)² -5
= 2(25x² +70x +49) -5
f(g(x)) = 50x² +140x +93
_____
We took advantage of the knowledge that ...
(a + b)² = a² +2ab +b² . . . . . where a=5x and b=7
To complete a planter box, mr. Michaels will purchase cedar boards that are 2 inches wide and 8 inches long. He will need to cut down the length of the boards into pieces that are 1 1/3 inches long. How many pieces can mr. Michael cit from each 8 inch board so he can determine how many he will need to purchase?
Answers
Answer:
6 pieces
Step-by-step explanation:
Since Mr. Michaels need to cut down the 8 inch long boards into pieces that are 1¹/₃ inches long, the number of pieces he can cut out from the 8 inch long board that are 1¹/₃ inches long is 8 ÷ 1¹/₃ = 8 ÷ 4/3
= 8 × 3/4
= 2 × 3
= 6
So, Mr. Michaels can cut 6 pieces that are 1¹/₃ inches long from the 2 inches wide and 8 inches long board.
The ration of child to teen to adult tickets sold at a water park on Saturday was 4:1:2. A total of 294 tickets were sold. How many child tickets were sold?
Answers
Answer: 168 child tickets were sold.
Step-by-step explanation:
Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.
Let the number of child tickets = 4x , teen tickets = x , adult tickets = 2x
Total tickets = x+4x+2x = 7x =294
[tex]\Rightarrow\ x=\dfrac{294}{7}\\\\\Rightarrow\ x=42[/tex]
Number of child tickets = 4(42) = 168
Hence, 168 child tickets were sold.
Find the measure of the numbered angle
Answers
angle 2: 130
angle 3: 50
angle 4: 130
angle 5: 40
angle 6: 140
angle 7: 90
angle 8: 140
Answer:
1 = 50°, 2 = 130°, 3 = 50°, 4 = 130°, 5 = 40°, 6 = 140°, 7 = 90°, 8 = 140°
Step-by-step explanation:
The sum of the angles of a triangle is 180°. A flat angle measures 180° as well.
Angle 1: 180 - 90 - 40 = 50°
Angle 2: 180 - 50 = 130°
Angle 3: 180 - 130 = 50°
Angle 4: 180 - 50 = 130°
Angle 5: 180 - 90 - 50 = 40°
Angle 6: 180 - 40 = 140°
Angle 7: 180 - 90 = 90°
Angle 8: 180 - 40 = 140°
It's a little complicated, but I hope this helps!
8x-5y=-118x−5y=−118, x, minus, 5, y, equals, minus, 11 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))
Answers
Wyatt has 32 marbles in his collection. Twenty of his marbles are red, four are blue, and the
rest are green. What part of Wyatt's marbles are red?
Answers
Answer:
6 and 2/5
Step-by-step explanation:
20% of 32 is 6.4
Can y’all Plz help me ??(Show ya work) It Says What Value of X makes this equation true
Answers
Answer:
[tex]0.6x - 0.1x = 7 + 5 \\ 0.5x = 12 \\ x = \frac{12}{0.5} = 24[/tex]
what is it plz ????????????
Answers
ILL MAKE BRAINLEST YOUR GONNA HAVE TO ZOOM IN BUT AM I RIGHT
Answers
The side length of aDavid is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?
the mean of the population
the mean of the sample
the standard deviation of the population
the significance level of the testn equilateral triangle is 6 cm. What is the height of the triangle?
Answers
Answer: D) the significance level of the test
=======================================================
Explanation:
The significance level of the test, also known as "alpha", is the probability of making a type 1 error. A type 1 error is where you reject the null hypothesis but it was true all along.
The null hypothesis is where we test a certain probability distribution (eg: normal distribution). Specifically we gather a sample of values and compute the test statistic. If the probability of getting that test statistic or more extreme is smaller than alpha, then we reject the null. This probability value is known as the p-value.
If you lower the alpha value, then that will make it more likely you do not reject the null. Consider an example where alpha = 0.10 to start with. If you get a p-value of 0.02, then you would reject the null. The same would apply for alpha = 0.05; however, with alpha = 0.01, the p-value is no longer smaller than alpha. At this point we do not reject the null. Your textbook may use the phrasing "fail to reject the null".
Going in the opposite direction, increasing the alpha value will make it more likely to reject the null. Each time you adjust the alpha value, keep the p-value to some fixed number (between 0 and 1).
The height of the equilateral triangle is 3√3 cm.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
To minimize the probability of incorrectly rejecting the null hypothesis in a hypothesis test with a fixed sample size of 40, the statistician can adjust the significance level of the test.
The significance level, denoted by α, is the probability of rejecting the null hypothesis when it is actually true.
By choosing a smaller significance level, the statistician can decrease the probability of making a Type I error (rejecting the null hypothesis when it is actually true).
However, decreasing the significance level also increases the probability of making a Type II error (failing to reject the null hypothesis when it is actually false).
Therefore,
The choice of significance level involves a trade-off between the two types of errors and should be based on the specific context of the problem and the consequences of each type of error.
Now,
The height of an equilateral triangle can be found using the formula:
height = (side length / 2) x √3
The side length = 6 cm
So,
height = (6 / 2) x √3
= 3√3 cm
Therefore,
The height of the equilateral triangle is 3√3 cm.
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
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On the first day, you pay $5 for 2 boxes of popcorn.
The next day you pay $7.50 for 3 boxes. Are the ratios
equivalant.
Answers
Answer:
10 5
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
First find the unit rate by find the cost per box.
To find the cost per post you will divide the cost by the number of boxes.
5/ 2 = 2.5
7.50/ 3 = 2.5
2.5 is indeed equal to 2.5 so they are equivalent.
You have two regular polygons
A & B
. The ratio of the interior angles of
A & B
is
21: 22
. The ratio of the exterior angles is
3:2
. How many sides does each polygon have?
Answers
Answer:
First polygon has 16 sides
Second polygon has 24 sides
Step-by-step explanation:
Let the number of sides for first polygon be a and that for the second polygon be b
formula for sum of interior angle is;
180n-360
So for individual interior angle we have;
(180n-360)/n
So for polygon A
(180a-360)/a
For polygon B
(180b-360)/b
Let’s divide both to equate to the ratio
(180a-360/a)/(180b-360)/b) = 21/22
Factor out 180
(a-2)/a * b/b-2 = 21/22
b(a-2)/a(b-2) = 21/22
22b(a-2) = 21a(b-2) •••••• (i)
For the second part
Sum of exterior angle of any polygon is 360
Individual exterior angle is 360/n
for the first polygon;
360/a ;
For the second 360/b
Thus;
b/a = 3/2
2b = 3a ••••••••(ii)
b = 3a/2
11(2b)(a-2) = 21a(b-2)
11(3a)(a-2) = 21a( 3a/2-2)
33a(a-2) = 21a(3a-4)/2
22a(a-2) = 7a(3a-4)
22a^2 - 44a= 21a^2-28a
22a^2-21a^2+28a - 44a = 0
a^2 + 28a - 44a = 0
a^2 -16a = 0
a(a-16) = 0
a = 0 (which cannot be)
or a-16 = 0
a = 16
Recall;
b = 3a/2
b = 3(16)/2
b = 24
Help please due now!!
Answers
Answer:
60
Step-by-step explanation:
Answer:
Step-by-step explanation:
a = 2 ; b = 4
4a + 2b² - 2(a -3b) = 4*2 + 2(4)² - 2 (2 - 3*4)
= 4*2 + 2*16 - 2(2 -12)
= 4*2 + 2*16 - 2* (-10)
= 8 + 32 + 20
= 60
whats three hundred x three hundred 300x300
Answers
Answer:
90000
Step-by-step explanation:
this baby has big brain
In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answers
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
Regina carns $7.25 per hour for babysitting her little sister how many hours must Regina work to earn $464
Answers
Answer:
64
Step-by-step explanation:
464 / 7.25 = 64
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answers
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
Solve the equation using subtraction,
3x-4y=-7
3x+y=13
Answers
Answer:
Step-by-step explanation:
first question is -1
and i think the sec option is 13/3+y/3 i think im wrong on the sec option
mr martin has 36 calculators in a box. The ratio of the ordinary calculators to the scientific 5:1. How many of each calculator does he have
Answers
Answer:
180 calculators.
Step-by-step explanation:
She has 180 calculators because if you were to un - simplify 5:1 you would get 180:5 and you would use the first number. So, you have 180 calculators.
Sorry if this is wrong I tried my best.
what is 5000000000000000times 409458374.9394ir
Answers
Answer:
2,047,291,874,697,000,000,000,000
Step-by-step explanation:
that is the answer to the multiplication statement xD
Original price of a computer game: $24.50
Discount: 20%
What is the selling price
Answers
Answer:
You will pay $19.6 for a item with original price of $24.50 when discounted 20%. In this example, if you buy an item at $24.50 with 20% discount, you will pay 24.50 - 4.9 = 19.6 dollars.
Step-by-step explanation:
On a long hike, Greg forgets to fill his canteen. Fortunately, Harold has 40 ounces of water and jake has 60 ounces. The three hikers share water so that each gets an equal amount. At the end of the hike, Greg gives Harold and Jake $5 to split for the water they gave him. How much should Harold and Jake get?
Answers
Answer:
Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water
Step-by-step explanation:
The amount that Harold and Jake will get is $2 and $3, respectively.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,
Amount of water = Total water / Number of persons
= 40 ounces of water / 3 person
= (40/3) ounces per person
Thus, Greg will get (40/3) ounces of water from Harold.
Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,
Amount of water = Total water / Number of persons
= 60 ounces of water / 3 person
= (60/3) ounces per person
Thus, Greg will get (60/3) ounces of water from Harold.
Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,
(40/3)x + (60/3)x = $5
(40x + 60x)/3 = 5
100x = 5 × 3
x = 15/100
Furthermore, the money each of two will get is,
Amount that Harold will get,
(40/3)x
= (40/3) × (15/100)
= $2
Amount that Jake will get,
(60/3)x
= (60/3) × (15/100)
= $3
Hence, the amount that Harold and Jake will get is $2 and $3, respectively.
Learn more about Ratios here:
https://brainly.com/question/1504221
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Joel has a prepaid phone card that charges $0.50 to connect and $0.50 per minute. He also can use a cell phone that charges $2.50 to connect and $0.25 per minute. In how many minutes will calls made using the phone card and the cell phone cost the same?
Answers
Answer:12 minutes
Hope this is right sorry if not <3
if the mean of 6 7 13 and 10 is 8 find rangeif the mean of 67 13 and 10 is 8 find range
Answers
Answer:
The range is: 7
Step-by-step explanation:
Given the data set
6, 7, 13, 10
Sorting in ascending order
6, 7, 10, 13
We know that the range is the difference between the highest and lowest values in a set of numbers.
Here:
Highest Value = 13Lowest Value = 6Thus,
Range = Highest Value - Lowest Value
= 13 - 6
= 7
Therefore, the range is: 7
Myra gets paid at home for doing extra chores. Last week, she did 5 loads of laundry and 8 loads of dishes, and her parents paid her $18. The week before, she finished 4 loads of laundry and 6 loads of dishes, earning a total of $14. How much does Myra earn for completing each type of chore?
Answers
Answer: Laundry = $2
Dishes= $1
Step-by-step explanation:
Let the amount paid for doing laundry be x
Let the amount paid for doing dishes be y.
Based on the information in the question, this can be formed in an equation as:
5x + 8y = 18 ..... i
4x + 6y = 14 ...... ii
Multiply equation i by 4
Multiply equation ii by 5
20x + 32y = 72 ...... iii
20x + 30y = 70 ...... iv
Subtract iv from iii
2y = 2
y = 2/2 = 1
Dishes cost $1
Since 5x + 8y = 18
5x + 8(1) = 18
5x = 18 - 8
5x = 10
x = 2
Laundry cost $2
help please !! thank you!
Answers
Answer:
.5
Step-by-step explanation:
if you put ur mouse on -2 then move to the right 1.5 you will get .5
Hope this Helps!!!
Answer:
-.5
Step-by-step explanation:
1.5 +-2 is -.5 hope this helps
An initial population of 30 rabbits doubles each year for 6 years what is the rabbit population after 6 years?
Answers
Answer:
1920
Step-by-step explanation:
Each time you multiply by to 6 times. 30 does not count as a year.
Please Answer! This is urgent!
Answers
Step-by-step explanation:
If the perimeters could be equal,
then 4(x + 3) = 2(x + 4 + x + 1).
=> 4x + 12 = 2(2x + 5)
=> 4x + 12 = 4x + 10
However 12 =/= 10 for all real values of x. Hence their perimeters can never be equal.