Which set of ordered pairs represents a function?

Answer:

Sometimes, not always.

Step-by-step explanation:

The LCM is the lowest common number between 2 numbers, sometimes it can represent the product of the 2 numbers, but sometimes it doesn't.

2 Examples:

2: 2, 4, 6, 8, 10.

3: 3, 6, 9, 12, 15.

6 is the least common multiple of 2 and 3 and it does represent the product between both numbers.

17: 17, 34, 51, 68, 85.

34: 34, 68, 102, 136, 170.

34 is the least common multiple of 17 and 34 and it does not represent the product between both numbers, the product is represented as 578.

We can prove that sometimes the LCM is the product between 2 numbers, and sometimes not.

Factors of a polynomial together constitute the polynomial by multiplication. The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex]

The given polynomial is [tex]12c^9 + 28c^7[/tex]

To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:

[tex]12 = 4 \times 3 \\28 = 4 \times 7[/tex]

Thus, the given polynomial is factored as:

[tex]12c^9 + 28c^7 = 4 \times 3 \times c^7 \times c^2 + 4 \times 7 \times c^7 = 4c^7(3c^2 + 7)[/tex]

Thus,

The factored form of [tex]12c^9 + 28c^7[/tex] is [tex]= 4c^7(3c^2 + 7)[/tex]

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Answer:

Factors of a polynomial together constitute the polynomial by multiplication. The factored form of  is

What is distributive property of multiplication over addition?

Suppose a, b and c are three numbers. Then we have:

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in

The given polynomial is

To factor it, we can use the fact that 12 and 28 are both having 4 as common factor since:

Thus, the given polynomial is factored as:

Thus,

The factored form of  is

Learn more about factors of a polynomial here:

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Step-by-step explanation:

Answer:

greater than 10 but less than 100

Step-by-step explanation:

700% of 3 is 21, since 100% of 3 is 3, you multiple it 7 times for 700% which gets you 21

Answer:

A

Step-by-step explanation:

If you simplify 40/100, you should get 4/10, which is still the same amount that Mark has.

You simplify by finding the greatest common factor between 40 and 100. In this case, it is 10. So you divide 40 by 10 and 100 by 10 to simplify.

Answer:

k=10

do long or synthetic division.  the quotient = 3x + 22 with remainder 81

with long division first divide x into 3x^2 to get 3x.  Then

3x times (x-4) = 3x^2-12x

subtract that from 3x^2+kx to get   (k-12)x bring down the -7 to get

(k-12)x -7

you want a remainder of 81, so you want -4 times a constant to = -88  (-7-(-88)=81

4 x 22 =88.  22 is the constant

22=12+k

k=10

Step-by-step explanation:

lmk if i helped!

The center of the circle is (5, -6). Option C shows the center of the circle.

A circle can be defined as the set of all points in the plane that are a fixed distance from a fixed point on the plane.

Given that the equation of the circle is,

[tex](x-5)^2+(y+6)^2=42[/tex]

We know that the general form of the equation of the circle is,

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Where h, k is the center of the circle and r is the radius of the circle.

Compare the given equation with the general form of the equation, we get,

[tex](x-h) = (x-5)[/tex] and [tex](y-k) = (y+6)[/tex] and [tex]r^2 = 42[/tex]

For x-axis,

[tex](x-h) =(x-5)[/tex]

[tex]h = 5[/tex]

For y-axis,

[tex](y-k) = (y+6)[/tex]

[tex]k = -6[/tex]

Hence we can conclude that the center of the circle is (5, -6). Option C shows the center of the circle.

To know more about the equation of the circle, follow the link given below.

https://brainly.com/question/10165274.

Answer: C

Step-by-step explanation:

right on edge

Hi mate!

Please check my attached image for the answer with explanation.

Hope it helps...

Bennet can lift 600 pounds without resting.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let n represent the total number of ounces he can lift without resting, hence:

n = 200 pounds * 3

n = 600 pounds

Bennet can lift 600 pounds without resting.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

17x1-4+183

Step-by-step explanation:

Answer:

C, D and E

Step-by-step explanation:

volume of prism = W x L x H

where W = width, L = length and H = height

Volumes

Prism A:  5 x 6 x 4 = 120 cm³

Prism B:  4 x 8 x 3 = 96 cm³

Prism C:  3 x 7 x 5 = 105 cm³

True statements

C. Prism B has the least volume

D. The volume of prism A is 120 cubic centimeters

E. The volume of prism C is less than the volume of prism A

[tex]\text{volume}=4\times5\times6=120cm^3[/tex]

[tex]\text{volume}=3\times8\times4=96cm^3[/tex]

[tex]\text{volume}=5\times7\times3=105cm^3[/tex]

A. - incorrect
B. - incorrect
C. - correct
D. - correct
E. - correct

Answer: CDE

Answer:

y = 2x - 3

Step-by-step explanation:

use the graph to find another point, and then calculate the slope. you can also use the graph to find the y-intercept, and then use the slope you just found to put the equation in slope-intercept form.

hope this helps :)

Answer: y = 2x - 3

Step-by-step explanation:

Answer:

A) 12

Step-by-step explanation:

110-50=60

60/5 = 12

Hope this helps!!

Probabilities are used to determine the chances of events

The probability that an employee of the company is single or has a college degree is 0.733

The given parameters are:

n = 600 --- the number of employees

College graduate  = 400

Single graduate = 100

Single and college graduate = 60

The number of people that are college graduate or single are:

n(Single or college graduate) = 400 + 100 - 60

Evaluate

n(Single or college graduate) = 440

The probability is then calculated as:

p = 440/600

Evaluate the quotient

p = 0.733

Hence, the probability that an employee of the company is single or has a college degree is 0.733

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Answer:

cosine=rootunder15/5

tangent=whole root under(2/3)

cosecant=5/rootunder10

secant=5/root under15

contangent=whole root under(3/2)

Step-by-step explanation:

Using the formulae of pythagoras and reciprocal for the given angles.

Explanation:

If x > 2, then x-2 > 0 after subtracting 2 from both sides.

Since x-2 is always positive when x > 2, this means the absolute value bars around the x-2 aren't needed. The results of |x-2| and x-2 are perfectly identical.

For example, if we tried something like x = 5, then

Both outcomes are 3. I'll let you try other x inputs.

So because |x-2| and x-2 are identical, this means |x-2| = x-2 for all x > 2.

In short, we just erase the absolute value bars.

Answer:

For a rectangle of given perimeter, here 320 feet, the rectangle with the greatest are is the square. This square shall be 80 x 80. Maximum at (80, 6400)

Step-by-step explanation:

Answer:

Step-by-step explanation:

11) 4x+2=5x-10 => 4x-5x=-10-2 => -x=-12 => x=12

12)25x=24x+4 => x=4

13)20x=21x-5 => -x=-5 => x=5

14)20x+10x=180 => 30x =180 =>x=6

To understand it better,you may check the picture down below.

Answer:

3

Step-by-step explanation:

well my alexa said so and shes always right so dont worry lol

Answer: 3

Step-by-step explanation:

30: 1, 2, 3, 5, 6, 10, 15, 30

27: 1, 3, 9, 27

The GCF is 3

hope this helps!

Answer: Hopefully the math terms won't confuse anyone.

So in the series, a_3 = -1 and a_7 = -13. Since it's an arithmetic sequence, all the terms in the series can be represented as:

a_n = a_0 + n * k

where n is the nth number. K is a constant you add to reach the next term, and a_0 is the starting constant.

a_7 = a_0 + 7 * k

a_3 = a_0 + 3 * k

solving this system gives you that

k = - 3 and a_0 = 8

Hence:

a_22 = 8 + 22 * -3 = -58

Step-by-step explanation:

Answer:

X = 8 because the two given angles are alternate interior, meaning they are equal. Knowing that, you set up the equation 6x-2=46 and solve algebraically for 8.

I HOPE THIS HELPS YOU, AND I HOPE ITS CORRECT, STAY SAFE :3

Answer:

4.000

that's the answer I think

Answer:

= A

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Birt's store has a greater ratio of books to games in comparison to Gloria's store.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given the table:

Bert’s store

Books:  4,8,12,16,20.

Game:  6,12,18,24,30

Gloria’s store

Books: 5,10,15,20,25.

Games: 8, 16, 24, 32,40,

Since the fourth data of the birt store has an equal base to the third data of Gloria's store.

Thus, we can compare the data from the upper tables

So, 16 > 15

thus,

we can say that Bert's store has a greater ratio.

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Complete question:

Angle of depression is the angle from horizontal line to the line of sight.  The distance from building of the sculpture is: Option d: 128. 67 feet.

You look straight parallel to ground. But when you have to watch something down, then you take your sight up by moving your head down. The angle from horizontal to the point where you stopped your head is called angle of depression.

For the given case, referring to the figure, we have:

Length of BC = |BC| = 60 ft.

Length of AB = |AB| = x ft (distance of sculpture from building horizontally).

∠CAB = 25°

Thus, using tangent ratio from point of view of ∠CAB, we get:

[tex]\tan(25^\circ) = \dfrac{|BC|}{|AB|} = \dfrac{60}{x}\\\\x = \dfrac{60}{tan(25^\circ)} \approx 128.67 \: \rm ft[/tex]

(value of tan25° was calculated from calculator available online)

Thus,

The distance from building of the sculpture is: Option d: 128. 67 feet.

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Answer: D:128.68

Step-by-step explanation:

i got it write on my test .

We will see that the number of students that play both sports is given by the inequality:

5 ≤ x ≤ 9

We do know that in the class, there are 15 students.

Such that:

If you add these numbers, you get:

9 + 11 = 20

This gives more than the number of students that we have, to get the minimum number of students that play both sports we subtract the number of students:

20 - 15  = 5

5 students play both sports, but this is the minimum number.

There is also the case where out of the 11 students that play soccer, there are 9 that play basketball (so 9 students play both sports) and 4 students don't play any sport.

So the number of students that play both sports is given by the inequality:

5 ≤ x ≤ 9

If you want to learn more about inequalities, you can read:

https://brainly.com/question/11234618

Answer:

  -26

Step-by-step explanation:

Use the given formula to find the next terms.

  c(1) = 6 . . . . . . given

  c(2) = c(1) -16 = 6 -16 = -10

  c(3) = c(2) -16 = -10 -16 = -26

The third term in the sequence is -26.

Answer:

1/4^2 (A)

Step-by-step explanation:

hope this helped :D

Answer:

Hair can grow about 1/10th of an inch.

Answer:

no solution

Step-by-step explanation:

absolute value cant be negative