which one of the following tables is a relation that represents a function?
Answers
Table 3
Explanation:
For a relation to be a function, each x value should have only one corresponding y value.
Now, let's check the givens:
Table 1:
x = 1 has two corresponding y-values. Therefore, this is not a function
Table 2:
x = 10 has two corresponding y-values. Therefore, this is not a function.
Table 3:
each x value has only one corresponding y-value. Therefore, this one is a function
Table 4:
x = 7 has two corresponding y-values. Therefore, this is not a function.
Hope this helps :)
Related Questions
express 68 as a product of prime numbers by completing the factor tree
Answers
34 = 2*17
68 = 2*2*17
Starting from her hotel,Angie walked 2/3 mile along the beach in one direction.She turned around and walked 1/2 mile toward her hotel.How much farther does she need to walk to get to the hotel?
Answers
so she needed to walk back 0.17 more or 17/100
Evaluate.
4+(5-3)5+7
Answers
Hey there!
4 + (5 - 3) 5 + 7
= 4 + (2)(5 + 7)
= 4 + 2(5) + 7
= 4 + 10 + 7
= 14 + 7
= 21
Therefore, your answer is: 21
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the area of the shape shown?
Answers
15x12 = 180
198+180 = 378
a small fictional country had a population of 2,254,000 people in the year 2000. if the population grows steadily at a rate of 3.5% each year, what is the expected population of this country in the year 2015 to the nearest 1000?
Answers
2,254,000 times .035 = 78890 new people per year
78890 times 15 years= 1183350 new people in 15 years
2254000+1183350= 3437350 total people in 2015
rounded to the nearest 1000= 3,437,000
PLEASE HELP!
The phone case you want to buy is marked down 30%, and you have a 25% off coupon. You pay $42.00. Can this equation be used to find the original price of the phone case? If so, what is the original price of the item? Explain. (5 points) 3/4(0.7c) = 42
Answers
Yes, the equation provided can be used to calculate the original price of the phone case. After solving the equation, we found out that the original price of the phone case was approximately $80.
Explanation:Yes, the equation you provided, 3/4(0.7c) = 42, can certainly be used to find the original price of the phone case (c). The equation is obtained by recognizing that you're receiving two discounts: a 30% or 0.3 discount off the original price (leaving 70% or 0.7 of the original price) and then a 25% or 0.25 discount (meaning you're paying 75% or 0.75 of the price after the first discount).
To find the original price, you want to solve this equation for 'c'. That would involve dividing both sides by 3/4(0.7) equaling to 0.525. So, it will look like: 42 ÷ 0.525 = c. Doing the calculation, c equals approximately $80.
Therefore, the original price of the phone case was $80.
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Bailey’s Cakes and Pastries baked a three-tiered cake for a wedding. The bottom tier is a rectangular prism that is 18 centimeters long, 12 centimeters wide, and 8 centimeters tall. The middle tier is a rectangular prism that is 12 centimeters long, 8 centimeters wide, and 6 centimeters tall. The top tier is a cube with edges of 4 centimeters each. What is the volume of each tier and of the entire cake?
Answers
the middle tier is 12+8+6 = 26
the top tier is 4x3 = 12
the total is 76
The formula for doing this is Length plus Width plus Height.
Answer:
the top tier is 64 cubic centimeters
the middle tier is 576 cubic centimeters
the bottom tier is 1728 cubic centimeters
the entire cake is 2368 cubic centimeters
Step-by-step explanation:
Select the statement that best justifies the conclusion based on the given information. Conclusion: l1 and l 2 intersect only at point P. A line contains at least two points. Through any two different points, exactly one line exists. If two lines intersect, then their intersection is exactly one point. If two lines intersect, then exactly one plane contains both lines.
Answers
If two lines intersect, then their intersection is exactly one point
Explanation:
Let's take a look at the choices:
Choice A: A line contains at least two points.
The statement is true. However, it is not related to intersection between lines. Therefore, this choice is wrong
Choice B: Through any two different points, exactly one line exists
This postulate is true. However, it does not relate directly to the intersection between lines. Therefore, this choice is wrong
Choice C: If two lines intersect, then their intersection is exactly one point.
This statement is known as theorem 1-1. It describes the intersection between two lines.
Therefore, this statement is correct.
Choice D: If two lines intersect, then exactly one plane contains both lines.
The conclusion given is related to points created due to intersection between lines. This option is therefore excluded as it describes planes.
Hope this helps :)
Answer:
If two lines intersect, then their intersection is exactly one point.
Step-by-step explanation:
Last week 1200 burgers were served at the Burger Barn.
a. This week 1176 burgers were served. What is the percent of change?
b. Use the percent of change from part (a) to predict the number of burgers served next week. Round to the nearest whole number, if necessary.
Answers
[tex]1200 - 1176 = 24[/tex]
24 is the amount of reduction
[tex] \frac{x}{100} = \frac{24}{1200} \\ x = \frac{24\times 100}{1200} = \frac{2400}{1200} = 2[/tex]
so the reduction percentage is 2%
The percent of change between the number of burgers served at the Burger Barn last week versus this week shows a 2% decrease. Using this information, the projected number of burgers to be served next week is approximately 1152.
Explanation:To calculate the percent of change, we subtract the final number (in this case, the number of burgers served this week) from the initial number (the number of burgers served last week), divide the result by the initial number, and then multiply by 100 to convert to percent.
Percent of Change = ((Initial number - Final number) / Initial number) * 100
So in this case, the percent of change = ((1200 - 1176) / 1200) * 100 = 2% decrease.
To predict the number of burgers served next week, we can assume the same percent of change. If there's a 2% decrease expected, then we subtract 2% of this week's total burgers from this week's total burgers.
Projected number of burgers served next week = This week's total - (2% of This week's total) = 1176 - (2/100 * 1176) = 1152.32 → If we round to the nearest whole number, we get 1152.
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Look at the function below.
f(x)=5*2^x
Which of the choices correctly describe x?
1.an element of the domain
2.an element of the range
3.an input value
4.an output value
A. only III
B. I and III
C. only I
D. I and IV
Answers
Solve for x.
−1/4x+5=3/4
Enter your answer in the box.
Answers
Answer:
16
Step-by-step explanation:
this is correct
The original is rice of a computer was reduced by $ 250. The new discounted price is $1499
If p= the computers original price in dollars, which mathematical sentence expresses the information above?
A. P-250<1499
B.250-p<1499
C.250-p=1499
D.p-250=1499
Answers
Because if the discount is $250 and P is the original price, if you subtract the discount from the original price then you get the discounted price
I hope that made sense lol
Answer:
D
Step-by-step explanation:
D, because he first reduces the price by 250 yuan from the original price, so it is P-250, and then obtains a new discounted price, which indicates that the answer is P-250=1499
Two points are located at (−9,−8) and (−6,−4) . Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points.
Answers
The distance between two points in a coordinate plane can be found using the Pythagorean theorem. For the points (-9,-8) and (-6,-4), the distance is 5 units.
Explanation:The Pythagorean theorem can be used to find the distance between two points in a coordinate plane. To find the distance between the points (-9,-8) and (-6,-4), we can consider the horizontal and vertical differences as the legs of a right triangle. The horizontal difference is 3 and the vertical difference is 4.
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
c = sqrt(25) = 5
Therefore, the distance between the two points is 5 units.
The length of cherries vegetable garden is 6.56 meters. The width of the garden is 6.6 meters. What is the answer
Answers
....................................................................
Find the length of BC.
Answers
Hopes this helps, and plz mark Brainliest if correct!!
nitially a pool contains 350 gallons of water. A hose is placed in the pool and the water is turned on. The hose adds 5.2 gallons of water per minute. Model the total amount, V, of water in the pool for x, the number of minutes the hose has been on.
Answers
Tom is the best batter on his baseball team. If he hit the ball 21 times out of 37 times at bat, what is his batting average (round to the nearest thousandth)?
Answers
the number of songs purchased from an online music store on the first day the store open was 300,000. The number of songs purchased on day x after the first day is given by the expression 300,000 (1.008^n). each day the number of songs purchased is what percent greater than the number of songs purchased the preceding day?
Answers
Answer:
The percentage is 0.008%
Step-by-step explanation:
The number of songs purchased each day from an online music store is 0.8% greater than the number purchased the previous day.
The original number of songs purchased from the online music store on the first day was 300,000. The number of songs purchased on any given day x is represented by the expression 300,000 ([tex]1.008^n[/tex]), where n is the number of days after the first day. To find the percent increase each day, you examine the multiplicative factor 1.008. This reflects a 0.8% (or 0.008 in decimal form) increase in the number of songs purchased from one day to the next. Therefore, each day the number of songs purchased is 0.8% greater than the previous day.
What is the answer and I don’t know what to do
Answers
(5-3)^2
(2)^2
4
( h-3)2
(5-3)2
2^2
4
In the figure, AB is a diameter of circle C, D is the midpoint of AC, and E is the midpoint of AD. How does the circumference of circle E compare to the circumference of circle C? Complete the explanation. The circumference of circle E is______ the circumference of circle C because the radius of circle E is _______ the radius of circle
Please answer ASAP
Is the answer 1/4 and 1/4?
Answers
Answer:
1/4 and 1/4
Step-by-step explanation:
I got it correct and you also stated it.
A small plastic storage container is in the shape of a cylinder. It has a diameter of 7.6 centimeters and a height of 3 centimeters. What is the volume of the storage cylinder
Answers
(3.14)(3.8)^2(3)
136.0248
The volume of the cylinder with given diameter and height is 136.02 cm³.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, the diameter of a cylinder =7.6 cm and the height of a cylinder = 3 cm.
Radius =7.6/2 =3.8 cm
We know that, the volume of a cylinder is πr²h
Now, volume = 3.14×3.8²×3
= 136.02 cm³
Therefore, the volume of the given cylinder is 136.02 cm³.
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Your friend finds 192 divided by 6 by writing (6 x 30) + (6 x 2). She says the answer is 12. Is your friend correct? EXPLAIN!
Answers
No, your friend is not correct. The answer to 192 divided by 6 is 32, not 12.
Explanation:No, your friend is not correct. When dividing 192 by 6, we need to find how many times 6 can go into 192. One way to do this is by subtracting multiples of 6 from 192 until we reach 0. This method is called long division. Let's work through it step by step:
Write 192, the dividend, inside the division symbol.Write 6, the divisor, outside the division symbol.Divide 6 into the first digit of 192, which is 1. The answer is 0, as 6 cannot go into 1.Bring down the next digit, which is 9.Divide 6 into 19, which gives us 3. Write the 3 above the line, in the quotient, as our first digit.Multiply 6 by 3, which gives us 18. Subtract 18 from 19, which leaves us with 1.Bring down the next digit, which is 2.Divide 6 into 12, which gives us 2. Write the 2 above the line, in the quotient, as our next digit.Multiply 6 by 2, which gives us 12. Subtract 12 from 12, which leaves us with 0.So the answer to 192 divided by 6 is 32. Your friend's method of using (6 x 30) + (6 x 2) is incorrect because it does not result in the correct quotient.
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Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots square root of 5 and 2?
Answers
Answer:
the polynomial is: 3x^2-21x+30
Step-by-step explanation:
go it right on edge
A polynomial function with rational real coefficients, a leading coefficient of 3, and roots of square root of 5 and 2 can be represented as f(x) = 3(x - 2)(x - √5).
Explanation:A polynomial function with rational real coefficients, a leading coefficient of 3, and roots of square root of 5 and 2 can be represented as:
f(x) = 3(x - 2)(x - √5)
To find the polynomial function, we use the fact that the roots of a polynomial are the values of x for which the polynomial is equal to zero. Since the leading coefficient is 3, we multiply the expression (x - 2)(x - √5) by 3 to obtain the polynomial function.
In this case, the polynomial function of lowest degree is a quadratic function.
CAN SOMEONE PLEASE ANSWER THIS! IM DESPERATE! 40 PTS
please try to explain your explanation fully because I don't understand this:
The value of a precious gold coin is increasing at the rate of 5% per year. If the gold coin is worth $105 today, what will it be worth in 11 years?
I also don't understand how the common ratio is 1.05 if 5% is .05 as a decimal.
Answers
The answer to your question is 162.75
Write two equivalent fractions for 2/5 and 1/3 and 3/4
Answers
1/3: 3/9, 6/18
3/4: 75/100, 9/12
These are a few. Hope this helps!
2/6, 3/9, 4/12, 5/15 = 1/3
6/8, 9/12, 12/16, 15/20 = 3/4
Select the equation that has c = 56.08 as a solution. A c × 12 = 672.96 B 2c = 112.14 C c + 97 = 154.08 D 49 + c = 105.80
Answers
Heather has $500 in her savings account. She withdraws $20 per week for gas. Write an equation Heather can use to see how many weeks it will take her to have a balance of $220.
Answers
[tex]500 - 20x = 220[/tex]
Which expression is equivalent to 32?
Answers
Final answer:
The expression equivalent to 32 might refer to a mathematical manipulation or a unit conversion. In equations, 32 is what remains when you subtract 32 from one side of an equation like x + 32 = 64. Meanwhile, in conversions, multiplying the number of quarts by 32 gives you the equivalent volume in fluid ounces.
Explanation:
The expression is equivalent to 32 and could be interpreted in different contexts. Using mathematical manipulation, when you subtract 32 from both sides of an equation, the equality holds. For example, if you have an equation like x + 32 = 64, subtracting 32 from both sides gives us x = 64 - 32, which simplifies to x = 32. This demonstrates an application of the principle that you can add or subtract the same number from both sides of an equation without changing its solution.
In relation to conversion between different units of measurement, specifically volume, when you convert quarts to fluid ounces, the conversion factor is 32 because there are 32 fluid ounces in one quart. Consequently, to find how many fluid ounces are in a given number of quarts, you multiply the number of quarts by 32. For example, 4 quarts equal 4 × 32, which is 128 fluid ounces.
Furthermore, when dealing with electrical resistance, 'equivalent resistance' is another situation where the number 32 might be relevant. Depending on the context and the specific details of an electrical circuit, one of the listed equivalent resistances may be the correct answer to a problem involving calculating the total resistance.
Find the ordered triple (x,y,z) that satisfies the following system:
x-2y&=0
y-2z&=0
x+z&=5.
Answers
x-2y = 0
y-2z = 0
x + z = 5
Solving the system of equations by any method we obtain the following results:
x = 4
y = 2
z = 1
Therefore we have that the ordered triple (x, y, z) is:
(x, y, z) = (4, 2, 1)
Answer:
the ordered triple (x, y, z) that satisfies the system is:
(x, y, z) = (4, 2, 1)
a storage tank has the dimensions shown below how many storage tanks are needed to contain 60000 cubic meters of liquid
Answers
R = pi (r)^2h
R = pi (15.21)(12.4)
R = 592.5169408
60,000 / R = 101.2629275
102 storage tanks