Mathematics College

Which of the tables represents a function?

a. Table A

b. Table B

c. Table C

d. Table D

Answers

Answer 1

The answer is table D as it is the only one without a repeated input ❤️ hope that helps

Answer 2

Answer:

the answer is D (U,U).-

Step-by-step explanation:

Related Questions

The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of the rectangle.

Answers

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

[tex]{\boxed{\sf Area=LB}}[/tex]

Substitute the values

[tex]\hookrightarrow\sf x (6x-4)=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x=20 [/tex]

[tex]\hookrightarrow\sf 6x^2-4x-20=0 [/tex]

Here a=6, b=-4, c=-20.use quadratic formula

[tex]\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}[/tex]

You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. Can you be confident that your predicted value will be reasonably close to the actual value?

a. Yes, because the correlation is close to zero, it is strong.
b. Yes, No, because the correlation is close to zero, it is strong.
c. No, because the correlation is close to zero, it is weak.
d. No, because the correlation is negative, it is weak.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

For this set, the correlation coefficient is = -0.015.

It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.

It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.

Given the third term is 12 and the rate of change is 3. What is the first 5 terms ?

Answers

Answer:

6, 9, 12, 15, 18

Step-by-step explanation:

If the third term is 12, then to find the first term subtract 3 twice (or just subtract 6) to get 6. To find the rest of the terms add 3 accordingly. The equation to find this would be:

a_n = 6 + (n-1)3

which expression is not equivelent to 2/3 x 4

Answers

Answer:

8/3

Step-by-step explanation:

[tex]\frac{2}{3} \times 4\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\times c=\frac{a\times c}{b}\\\\\frac{2}{3}\times \:4=\frac{2\times \:4}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:\\2\times \:4=8\\\\=\frac{8}{3}[/tex]

In how many different ways can you arrange 6 flower vases on a table?

Answers

Answer:

720

Step-by-step explanation:

To solve a problem like this, you do: !6

This basically means 6*5*4*3*2*1

6*5 = 30

30*4=120

120*3=360

360*2=720

720*1=720

–sin2(x) = cos(2x) from [–π,π]

I need help on this

Answers

If the equation is

- sin²(x) = cos(2x)

rewrite the left side using the Pythagorean identity,

sin²(x) = 1 - cos²(x)

and the right side using the double angle identity for cosine,

cos(2x) = 2 cos²(x) - 1

Then the equation transforms to

- (1 - cos²(x)) = 2 cos²(x) - 1

Solve for cos²(x) :

-1 + cos²(x) = 2 cos²(x) - 1

cos²(x) = 0

Take the square root of both sides to get

cos(x) = 0

Solve for x :

x = cos⁻¹(0) + 2nπ or x = cos⁻¹(0) - π + 2nπ

x = π/2 + 2nπ or x = -π/2 + 2nπ

where n is any integer. We get solutions in the interval [-π, π] when n = 0, giving the solutions

x = π/2 or x = -π/2

how to write exponents