if x is a factor of y and y is a factor z, then x is a factor of z. true or false​

Answers

Answer 1

Answer:

True; this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].

Step-by-step explanation:

"[tex]x[/tex] is a factor of [tex]y[/tex]" means that there is a whole number [tex]p[/tex] such that [tex]x\, p = y[/tex].

Likewise, [tex]y[/tex] is a factor of [tex]z[/tex] if and only if there is a whole number [tex]q[/tex] such that [tex]y\, q = z[/tex].

This [tex]x[/tex] would be a factor of [tex]z[/tex] if there is some whole number [tex]r[/tex] such that [tex]x\, r = z[/tex].

The first equality [tex]x\, p = y[/tex] implies that [tex]y[/tex] may be substituted with [tex]x\, p[/tex].

Substitute the [tex]y[/tex] in the second equality [tex]y\, q = z[/tex] with [tex](x\, p)[/tex] to obtain:

[tex](x\, p)\, q = z[/tex].

Rearrange to obtain:

[tex]x\, (p\, q) = z[/tex].

The product of two whole numbers is still a whole number. Since [tex]p[/tex] and [tex]q[/tex] are both whole numbers, [tex]p\, q[/tex] would also be a whole number.

Thus, if [tex]r = p\, q[/tex], then [tex]x\, r = x\, (p\, q) = z[/tex], while [tex]r[/tex] would be a whole number.

Therefore, this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].


Related Questions

I need help. what is the slope?
(The bottom one says : (-1, -6)

Answers

The slope is : -11/4
Ok done. Thank to me :>

Use a model to solve seven multiplied by three fifths. Leave your answer as an improper fraction.
Question 2 options:

twenty one thirty fifths

twenty one fifths

four fifths

ten fifths

Answers

Answer:

1 a is your answer

Step-by-step explanation:

mark brainlest pls and i hope this helps

the formula to find the curved surface area of the cone

Answers

Step-by-step explanation:

the formula for finding curved surface area of the cone is is pi ×r ×l

ways to write 25 percent of n,

Answers

Answer:

  0.25n = 25/100n = n/4

Step-by-step explanation:

25% of n = ...

  0.25n = 25/100n = n/4

and any of an infinite number of equivalent expressions.

Just help me on 6 and 7 please

Answers

6)  [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{5}{8} \\[/tex] = [tex]\frac{9}{4} . \frac{8}{5} = \frac{9.4.2}{4.5} =\frac{18}{5}[/tex]

7)  [tex]2\frac{1}{2}[/tex] ÷ [tex]4\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{9}{2}[/tex] = [tex]\frac{5}{2} .\frac{2}{9}=\frac{5.2}{2.9} =\frac{5}{9}[/tex]

ok done. Thank to me :>

Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3

Answers

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

What sentence represents this equation? 4 1/3=11−x

Answers

Answer:

4 1/3 is the same as 11 decreased by a number.

Step-by-step explanation:

Why ain’t nobody helping?
Please help!! ASAP Simplify the expression and enter your answer below. ;)

Answers

Answer:

(17^1/7)^7 SIMPLIFIED is 498.26016735

the simplified expression is 17 as the powers cancel each other out :)

my Christmas present to you​

Answers

Answer:

thankss

Step-by-step explanation:

are 6y + 12 and 6 (y + 2) equal?

Answers

Yes, this is because if you were to multiply 6 by y and 6 by 2 (to get rid of the parenthesis), you would get 6y+12, which is the first expression

A 12-ounce bottle of shampoo lasts Enrique 16 weeks . How long would you expect an 18-ounce bottle of the same brand to let him

Answers

Answer:

12 lasts 16

18 lasts x

x=16• 18/12

x= 24

= 82.2×3.6 Show your working out

Answers

The answer would be 295.92

I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!

Answers

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

help me pliz ill give u full stars i need help quick fast pliz

Answers

Answer:

[-5, 5]

Step-by-step explanation:

Lily hereeeeeeee (Rose's younger sister))))))))))
Please help me with mathhhhhh

the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school

Answers

Answer:

1 1/12

Step-by-step explanation:

Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)

Find common denominator, which is 24

6 times 4 equals 24; 11 times 4 equals 44

4 times 6 equals 24; 3 times 6 equals 18

44/24 - 18/24 (subtract only top numbers (44-18) = 26

26/24 simplified is 13/12 or 1  1/12

Hope it's right :)

Thad attempted 25 free throws and made 17 of them while Amy attempted 30 and made 20. Who shot the higher percentage?

Answers

Answer: Thad-1.471

Amy-1.500

SO AMY SHOT WITH A HIGHER PERCENTAGE

Step-by-step explanation: brainliest would be appreciated

Jennie has $200 and spends $30. What percent did Jennie spend?

Answers

Answer:

30$ is 15% of 200$

Step-by-step explanation:

To find how much percent Jennie spent let's first find how much one percent of $200 is.

∴200/100=2

so one percent of 200 is 2

now let's find how much percent 30$ is of 200$

30/2=15

meaning that 30$ is 15% of 200$

she spent 15% because 30 is 15% of 200

200x15%= 30

help me please it’s urgent how do i solve this I was absent

Answers

y would equal 0.6 i believe

Hi!

I can help you, no worries!

Your answer is y = -4/5x - 3

To solve this is much easier than you think. To "solve for y" we just have to get y on one side of the equal sign all by itself. We can see that it's "1 + y" on the left instead of just the y.

To get y by itself, we just subtract "1" from both sides.

1 + y = -4/5x - 2

-1                     -1

     y = -4/5x - 3

If you don't know why we have to subtract from both sides, think of it like this (it's how I like to think of it).

Each side of the equal sign is a twin. They are equal to eachother. If you change something about one twin, such as changing their hair color (or adding a number to one side of the equal sign), you have to do it to both in order for them to be the same. Right?

Hope this helps! Have a great day! :D

110 divided by 4 using area model.

Answers

Answer would be 28…..

The quotient of 110 divided by 4 is 27 with a remainder of 2.

To solve 110 divided by 4 using the area model, we can represent the division problem visually by creating an area model.

Draw a rectangle to represent 110.

Divide the rectangle into four equal parts to represent dividing by 4.

Distribute the value of 110 evenly across the four parts. Since 110 is not divisible evenly by 4, distribute as much as possible to each part.

Determine the quotient. Count the number of equal parts, which in this case is 27.

Therefore, the quotient of 110 divided by 4 is 27 with a remainder of 2.

To learn more on Division click:

https://brainly.com/question/21416852

#SPJ6

Determine whether each quadrilateral is a parallelogram. Justify your answer.

Answers

Answer:

4. Parallelogram

5. Parallelogram

6. Parallelogram

Step-by-step explanation:

4. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.5. This is a parallelogram because it's angles are the same to the opposite angles. Hence, this is a parallelogram.6. This is a parallelogram because the longer sides are parallel to each other and the shorter sides are also parallel to each other. Hence, this is a parallelogram.

Hoped this helped.

solve this
(below, in picture)

Answers

x^[2] - 2x - 8 = 0


x^[2] or x squared

Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False

Answers

TRUE answer=sorry if wrong

What is the domain of this graph?

Answers

The domain is the x values of where the dots are located.

A and E are -2

C is at 1

B and D are at 3

Answer: (-2,-2,1,3,3)

Answer:

(-2,1,3)

Step-by-step explanation:

coordinates are (-2,-4),(-2,3),(1,-1),(3,-1),(3,2)

all the points in x (domain) are -2,-2,1,3,3 which is just (-2,1,3)

basically points in x

Make x the subject of the formula,
y (x-4) squared +6

Answers

Answer:

Is "y (x-4) squared +6":     y = (x-4)^2 + 6?

If so,

x = y^(1/2) - 6^(1/2) + 4

Step-by-step explanation:

Assuming the equation is:  y= (x-4)^2 + 6

y^(1/2)= (x-4) + 6^(1/2)

(x-4) = y^(1/2) - 6^(1/2)

x = y^(1/2) - 6^(1/2) + 4

I will give up to 40 points if you help answer 5 questions

Answers

Answer:

SSSthe answer is ASAS1, 2, 3, 4, and 5using alternate interior angles theorem on angles A and C, verticle angles theorem on angle O, and the Parallelogram Diagonals Theorem Converse  you can prove triangles ADO and BOC are similar. Then using  CPCTC "Corresponding parts of congruent triangles are congruent" you can prove that line segment AO is congruent (equal) to line segment CO

Step-by-step explanation:

if my answer helps plz give me brainliest :)

Answer:

I hope this helps. I'm sorry in advance if it isn't.

Step-by-step explanation:

1) SSS

2) The first bullet point

3) SAS

4) They are congruent by SAS, ASA

5) Segment AO is congruent to segment CO because:

The diagonals AC and BD both have O as the intersection point. AC = BD since the geometric means of the legs is equal. Thus AO is congruent to CO

What type of number is 12/3?
Choose all answers that apply:

A) Whole number

B) Integer

C) Rational

D) Irrational

Pls help it’s for a test

Answers

Answer: All except Irrational

Step-by-step explanation:

12/3 = 4, 4 is an integer, a whole number, and it is rational.

For 1-3 write an equivalent expression
1.) -3(7+5g)
2.) (x+7)+3y
3.) 2/9-1/5*x

Answers

Answer:

1) (3 7 3 5 g)

2) 7+x+3⋅y

3) 2/9 x/5

-3 ( 7 + 5 g) = -21 - 15 g = -15 g - 21(x + 7) + 3y = x + 3y + 7[tex] \frac{2}{9} - \frac{1}{5} x \\ = > \frac{10-9x}{45} \\ = > \frac{-9x+10}{45} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

A system of linear equations includes the line that is created by the equation Y = 0.5x-1 and the line through the
points (3, 1) and (-5, -7), shown below.

What is the solution to the system of equations?

A. (-6, -4)
B. (0, -1)
C. (0, -2)
D. (2, 0)

Answers

Step-by-step explanation:

the answer I think D should be

Answer:

The answer is (2,0)

Step-by-step explanation:

We know one equation [tex]y =0.5x - 1[/tex] and the other points (3, 1) and (-5, -7).

For the first step, we need to graph the equation we know, since the points already plotted, and therefore have its own line.

As we can tell it crosses over points (2,0) making this equation having exactly one solution.

Making the correct awnser D; (2,0)

5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)

Answers

Answer:

7

Step-by-step explanation:

the square root of 49 is 7 since 7 x 7 = 49

Pls pls I just need the equation to this thank you so much!

Answers

Answer:

5.00+5.5+5.10+5.15+5.20+5.25= x

x is whatever the cost is.

if you want x, it is.... 31.2

or

y=5.00+5.5+5.10+5.15+5.20+5.25

If you want the equation in linear form (as in y= _x+b), then it is:

y=0.001x

sorry if im wrong! :D

Step-by-step explanation:

Just ask!

Hope this helps... :)

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