Please help me solve this

We want to see which pair of sets is disjoint, this is, see which pair of sets does not share any element.

The correct option is: E = {even numbers} and F = {odd numbers}

So we only need to see which one is the pair of sets that does not share any element, so we can analyze the given options and see if we can find a number that belongs to both sets.

1) X = {rational numbers} and Y = {whole numbers}

Any whole number is also a rational number, for example:

2 = 4/2

So we can write the number 2 as a quotient of two integers, then we can see that these sets share elements.

2) P={multiples of 2} and Q={multiples of 3}

The number 6 is a multiple of both 2 and 3, thus the number 6 belongs to bot sets, then the sets are not disjoint.

3) G={multiples of 5} and H={multiples of 10}

10 is a multiple of 10 and 5, so the number 10 belongs to both sets, thus the sets are not disjoint.

4) E={even numbers} and F={odd numbers}

We define the even numbers as the ones divisible by 2, while the odd numbers are those that are not divisible by 2. Then by definition, there is no even number that is also odd.

Then we can see that these two sets are disjoints, and this is the correct option.

If you want to learn more, you can read:

https://brainly.com/question/13143676

If M is the midpoint of PQ. MQ = 5x + 8 and PQ = 6x + 56, then PM = 58

Since M is the midpoint of PQ

PM  +   MQ   =   PQ................(*)

Given:

PQ  =  6x + 56

MQ  = 5x + 8

Substitute PQ and MQ into equation (*)

PM   +  (5x + 8)  =  6x  +  56

Collect like terms

PM   =  6x  +  56  -   (5x  +  8)

Expand the equation using the distributive rule

PM  =  6x  +  56  -  5x  -  8

PM  =  6x  -  5x  +  56  -  8

PM  =  x  +  48.........(**)

Equate MQ and PM

MQ   =   PM

5x  +  8    =   x  +  48

Collect like terms

5x  -  x  =  48  -  8

4x   =   40

Divide both sides by 4

4x / 4   =  40/4

x   =   10

Substitute x = 10 into equation (**)

PM  =  x  +  48

PM  =  10  +  48

PM   =  58

Learn more here: https://brainly.com/question/23460890

Answer

45 miles per hour .

Answer:

[tex]4x + 3 = 6x - 53 \\ 6x - 4x = 3 + 53 \\ 2x = 56 \\ x = \frac{56}{2} = 28[/tex]

Answer:

7500 people

Step-by-step explanation:

The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity

The students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Reasons:

Question: The table of the question is presented as follows, and the graph of the inequality is attached

[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]

Solution:

The inequality with the same solution as the given graph is x < 4

The inequalities created by the students are;

Amanda;

-3·x + 5 > -7

Rearranging the above inequality gives;

-3·x + 5  - 5 > -7 - 5

-3·x > -12

Dividing both sides by (-1) and reversing the inequality sign gives;

[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]

x < 4

Therefore;

Briana;

The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]

Multiplying both expressions on either side of the equality by 2 gives;

[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]

(2·x - 4) > 4

2·x > 4 + 4 = 8

[tex]x > \dfrac{8}{2}[/tex]

Therefore

x > 4

Courtney;

The inequality created by Courtney is -7·x + 8 > -3·x + 24

Rearranging gives;

8 - 24  > -3·x + 7·x

-16 > 4·x

4·x < -16

[tex]x < \dfrac{-16}{4}[/tex]

x < -4

Diana;

Diana's solution is 9·x - 6 < 3·x + 18

Rearranging, we get;

9·x - 3·x  <  18 + 6

6·x < 24

[tex]x < \dfrac{24}{6}[/tex]

x < 4

Therefor;

Therefore, the students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Learn more here:

https://brainly.com/question/11829187

The solution to the equation [tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex] is a = 3.125

The given equation is:

[tex]\frac{-4}{1(a-4)} = \frac{4}{7(a-3)}[/tex]

Cross multiply:

[tex]-4(7)(a-3) = 4(a-4)[/tex]

Divide both sides by 4

[tex]\frac{-4(7)(a-3)}{4} = \frac{4(a-4)}{4} \\-7(a-3) = a - 4[/tex]

Expand the bracket using the distributive rule

-7a + 21  =  a  -  4

Collect like terms

a  +  7a   =  21  +  4

Simplify the arithmetic

8a   =  25

Divide both sides by 8

[tex]\frac{8a}{8} = \frac{25}{8}\\a = \frac{25}{8}\\a = 3.125[/tex]

Learn more here: https://brainly.com/question/11852209

Answer:

The difference between the two values is -9

Answer:

so what are you trying to figure out

Step-by-step explanation:

Answer:

a) (x - 1) (x + 4)

b) (x + 1) (x - 3)

c) (x - 2) (x + 4)

Answer:

3.1567 * 10^-4 miles

Step-by-step explanation:

1 ft = 1.894 * 10^-4 miles , so

1 inch = 1.894 * 10^-4 / 12  miles

= 0.15783 * 10^-4

= 1.5783* 10^-5 miles  ( in scientific form).

Multiplying this by 20 we get

31.567 * 10^-5

= 3.1567 * 10^-4 miles.

Answer:

its c

Step-by-step explanation:

i took it

Answer:

x + 4 = 7

Step-by-step explanation:

Answer:

The father was twice as old as his son when he (the father) was 62 years old.

Step-by-step explanation:

(Assuming s = current age:)

f = 3(s-15)

f = 4(s-19)

3s-45 = 4s-76

31 = s

Answer:

3 cause that's where the line is touching the y axis

Step-by-step explanation:

Answer:

v + 29 = 73 This is the equation

44 is the answer to this equation. If you needed it

Step-by-step explanation:

So the equation is v + 29 = 73 or any of the equations I list

Have an Awesome Day and Well I Hope This Helps

Answer:

1: C

2: D

3: A

4:B

Step-by-step explanation:

Answer:

x<1/-3

Step-by-step explanation:

Distribute -3 to (x+3)

-3x-9+5<-3

add like terms (-9+5=-4)

-3x-4<-3

add 4 to both sides

-3x<1

divide both sides by -3

x<1/-3

Answer:

75 - x - 1.25y

Step-by-step explanation:

Answer:

2x-  13 = 4x + 2

Answer:

I/rt =P

Step-by-step explanation:

to get ride of the r and t u need to divide

divide by rt

which would =to I/rt=P

Answer:

4x+3Y=-6  D

Step-by-step explanation:

took the test

Answer:

1 / 5

Step-by-step explanation:

a = 2 - 9a

a + 9a = 2

10a = 2

a = 2 / 10

a = 1 / 5

Answer:

His weekly allowance is 20 dollars

Step-by-step explanation:

the full equation would be (with x equaling weekly allowance):

(x÷2)+6=16

subtract 6 from each side to get

(x÷2)=10

then multiply each side by 2

x=20

Answer:

human

Step-by-step explanation:

i need points sorry

Answer:

Whether your students are working together or independently, I wanted to make some super-engaging, l math escape room activities that are both fun for students and  your need to grade. These new sms are these digital math escape rooms.

Answer:

[tex]4 {x}^{3} + 2 {x}^{2} - 8x - 4[/tex]

Step-by-step explanation:

it's simple, just multiply

f.g(x)=(x^2-2)(4x+2)=4x^3+2x^2-8x-4

Step-by-step explanation:

Hi there!

f(x) = x²-2

g(x) = 4x+2

Then;

f(x).g(x) = (x²-2)*(4x+2)

= x²(4x+2) -2 (4x+2)

= 4x³ + 2x² - 8x - 4

Therefore, the answer is f(x).g(x)= 4x³ + 2x² - 8x - 4.

Hope it helps!

Answer:

75% can be converted into a decimal, any percentage can.

Once converted, 75% is actually .75

At this point you can move the decimal place two place up, and put it over 100, in a fractal form

75/100  

You can then simplify this to

3/4  

You can then use this fraction as a conversion factor with any number, for example if we took the number 8

8∗3/4  

2∗3/1=6