Which of the following tables represents a function?

Answers

Answer 1

Answer: Choice B

Reason:

Choices A, C and D have repeated x values. It allows us to rule them out.

Table A has x = 6 repeating. Table C has x = 3 and x = -3 repeated. Table D has x = 4 and x = 5 show up twice each.

Whenever we have repeated x values, it indicates we do not have a function. A function is only possible when each x value goes to exactly one y value only.

Table A has the input x = 6 lead to y = 2 and y = -2 at the same time. Table C and table D are a similar story. So this is another way to rule out choices A, C and D.

Luckily table B has no repeated x values. Each x input leads to exactly one and only one y output. Therefore, table B is a function.

Side Note: the y values can repeat, but the function won't be one-to-one.

Related Questions

May you please help with this, thanks!

Answers

Answer:

The standard form of the number will be written as 63 158

A bicycle company is designing women's bicycle frames. The frames can accommodate any woman taller than 54.5 inches. Given that the heights of adult American women are normally distributed, with a mean of 65 inches and a standard deviation of 3.5 inches, what percentage of American women CANNOT use the bicycles designed by this company

Answers

Using the normal distribution, it is found that 0.13% of American women CAN NOT use the bicycles designed by this company.

What is Normal Probability Distribution?

The z-score of a measure X of a normally distributed variable with mean and standard deviation is given by:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean.Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 65\ \ \sigma= 3.5[/tex]

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

[tex]z = \dfrac{54.5-65}{3.5}[/tex]

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CAN NOT use the bicycles designed by this company.

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find xif S is between R and T, RS=2x+3, ST=4x, and RT=63

Answers

Answer:

x = 10

Step-by-step explanation:

If S is between R and T, then RS + ST will be equal to RT.

See image.

Use this idea to write an equation.

2x + 3 + 4x = 63

Combine like terms, Subtract 3, Divide by 6, to solve for x. See image.

5 pts
Question 5
A model rocket is launched 25 feet from you. When the rocket is at height h, the
distance d between you and the rocket is given by d = √216 +h2 where h and d
are measured in feet. What is the rocket's height when the distance between you and
the rocket is 100 feet? Round to 3 decimal places
Question 6
5 pts

Answers

The rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

How to determine the rock's height?

The function is given as:

d = √216 +h²

At a distance of 100 feet, it means that:

d = 100

So, we have:

√216 +h² = 100

Take the square of both sides

216 +h² = 10000

Subtract 216 from both sides

h²= 9784

Take the square root of both sides

h = 98.9

Hence, the rocket's height when the distance between you and the rocket is 100 feet is 98.9 feet

Answers

The measures of the x is 6.

What is angle sum property?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Given : one angle= 6x-6 and another angle = 54

Using angle sum property, we have

6x-6 + 54 + 90 = 180

6x=180-144

6c= 36

x=36/6

x=6

Thus, value of x is 6.

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The solution to the equation is y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.

Analysis:

since number of items cannot be negative x and y are real number numbers since y or x can be a decimal so we do not use integers alone.

so y = 5.5 + x , for any real number x greater than or equal to zero and y any real number greater than or equal to 5.5.

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Answer: C

Step-by-step explanation:

if the area of a square is 32ft how long is the diagonal?

Answers

8 FEET LONG

A square has the same length all 4 sides, therefore in order to find the length of the sides, you would need to find the square root of 32, which would be 5.66 or 4 radical 2. Then to find the diagonal length you would need to split the square diagonally resulting in 2 triangles. We know the side lengths of the triangles but not the hypotenuse( longest side of triangle), which is the diagonal length. To figure this out we would use the Pythagorean theorem a^2 + b^2 = c^2. We know what a and b are so we substitute, do basic algebra, and find that c is equal to 8

Answer: 8

Step-by-step explanation:

To find the diagonal, we need to use two formulas:

Area of a square: [tex]A = s^{2}[/tex] (Area = side * side)

Pythagorean Theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]

Since every side of a square is the same:

[tex]a^2 = b^2\\a = b = \sqrt{32} \\a^{2} = 32\\b^2 = 32[/tex]

Our equation:

[tex]32 + 32 = c^2\\64 = c^2\\8 = c[/tex]

The picture below visually explains the problem

Hope this helps!

what is the volume of a sphere with an 8 cm radius

Answers

Answer:

Approx. 2140.16 cubic centimeters

Step-by-step explanation:

[tex]Volume=\frac{4}{3}\pi r^{3} \\V=\frac{4}{3}(3.14)(8)^{3} \\V=4.18(8)^{3} \\V=4.18(512) \\V=2140.16[/tex]

please help because I don’t know!!

Answers

Answer:

Step-by-step explanation:

Comment

There was a flat fee of 10 dollars

Each 1/4 hour brought in 3,75

The total charge was 55 dollars.

Equation

Charge = 10 + 4*3.75*x as an hourly rate,

Solution

55 = 10 + 4*3.75x Combine

55 = 10 + 15x Subtract 10 from both sides

55-10= 10-10 + 15x

45 = 15x Divide by 15

45/15 = 15x/15

y =1.5 * 17 + 5

y = 30.5

For a 55-pound goat, we have:

x = 55

This gives

y = 1.5 * 55 + 5

y = 87.5

Hence, the amount of milk needed for a 17-pound goat and a 55-pound goat are 55 and 87.5 cubic units, respectively

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Keesha buys grapes and bananas. These bills and coins represent the cost of each item. How much did Keesha spend in all? Enter your answer in the box.

Answers

The total amount of money spent by Keesha to buy grapes and bananas is equal to $6.38.

How much did Keesha spend in all?

Based on the value of the bills and coins which represent the cost of each item, we would determine the total amount of money spent by Keesha to buy grapes and bananas.

For the grapes, we have:

Cost of grapes = 5 + (1 × 0.25) + (2 × 0.1) + 0.05

Cost of grapes = 5 + 0.25 + 0.2 + 0.05

Cost of grapes = $5.5.

For the bananas, we have:

Cost of bananas = (3 × 0.25) + 0.1 + (3 × 0.01)

Cost of bananas = 0.75 + 0.1 + 0.03

Cost of bananas = $0.88.

Total cost = 5.5 + 0.88

Total cost = $6.38.

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help i need answers now please thank u if u helped giving brainliest btw

Answers

Answer:

[tex]7\frac{1}{6}[/tex]

Step-by-step explanation:

→ Convert all fractions to improper fractions

[tex]\frac{27}{6} +\frac{8}{3}[/tex]

→ Make both of the numerators the same

[tex]\frac{27}{6} +\frac{16}{6}[/tex]

→ Add

[tex]\frac{43}{6}[/tex]

→ Convert to mixed fraction

[tex]7\frac{1}{6}[/tex]

how would you solve for the missing value in a proportion?

Answers

Answer:

a/b = c/d

a*d = b*c

Ex:

a/2 = 2/4

4a = 4

a = 1

1/2 = 2/4

9(w – 4) – 7w = 5(3w – 2)

Answers

Answer:

-2 =w

Step-by-step explanation:

9(w – 4) – 7w = 5(3w – 2)

The first step is to distribute

9w -36 - 7w = 15w -10

Combine like terms

2w -36 = 15w -10

Subtract 2w from each side

2w -36 -2w = 15w-10-2w

-36 = 13w -10

Add 10 to each side

-36+10 =13w-10+1-

-26 = 13w

Divide by 13

-26/13 =13w/13

-2 =w

30 points + brainliest for answer: Explain how you can determine which angle of a scalene triangle is the largest and which is the smallest.

Answers

The size of the scalene triangle would be larger or smaller

53° 44°
xº
X=
46°
degrees

Answers

You just need to add them all up
X = 53° + 44° + 46° = 143°

The circumference of a circle is 14 pi cm. What is the area, in centimeters? Express your answer in terms of pi.

Answers

Answer: 49π or 153.86

Explanation: To find the R, do 14 divide by 2 because since you're not multiplying pi with it. The circumference formula is 2πr
14 / 2 = 7
7 = Radius

Area of a circle is : πr^2
π(7^2)
π49
----------
π49
153.86

Solve the system by substitution. Check your solution.
a minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12
a.
(15, 15)
c.
(13, 12)
b.
(10, 12)
d.
(7, 9)

Please select the best answer from the choices provided

A
B
C
D

Answers

The correct answer is option A. Which is the solution of the given equation will be (15,15).

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are solved as:-

a - 1.2b = -3 or a = -3 + 1.2b

0.2a + 0.6b = 12

Put the value of a from equation 1 to the equation second.

0.2 ( -3 + 1.2 b) + 0.6b = 12

-0.6 + 0.24b + 0.6b = 12

0.84b = 12 + 0.6

0.84 b = 12.06

b = 15

Put the value of b in the first equation to find the value of a.

a = 1.2b - 3

a = (1.2 x 15) - 3

a = 15

Therefore the correct answer is option A. Which is the solution of the given equation will be (15,15).

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Evaluate using the given value: y+9-x; use x=1, and y=3

Answers

[tex]y+9-x =[/tex]

[tex]x=1 \\ y=3[/tex]

[tex]3 +9 -1=11[/tex]

Answer:

y+9-x = 3+9-1 which would end up equaling: 11

9-1=8+3=11

After 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44

Answers

Answer:

Step-by-step explanation:

What is the factored form of the expression x^2 + 3x-4?

Answers

Answer:

(x-4)(x-4)

Step-by-step explanation:

Because the factors of 16 that add up to -8 can be -4 and -4.
Let's plug it in...
16 - 32 + 16 = 0

It works!!!

ANswer is (x-4)(x-4)

Answer: (x-1)(x+4)

the answer

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