14 is the GCF of a number M and 210. What are possible values of M?

Answers

Answer 1

Answer:

Hello,  

we know that to find the GCF we descompose the numbers and then we multiply the common terms with the lowest exponent. So we first descompose 210:

210   | 2

105   | 3

 35   | 5

   7   | 7

   1    

210= 2x3x5x7

Now one possible solution is 14 because:

14   | 2

 7   | 7

 1

As you can see 2 and 7 are common terms, so:

GCF= 2x7

GCF=14   -->  It's correct

Then, if we analyze it, we'll realize that we have an infinitive number of solutions. The only requirement is that "M" must have 2 and 7 when we descompose it.

For example:

M= 2²x7x3x11

M=924

924 is another possible solution, it doesn't matter if 2 or 7 repeat, since I said the GCF is the multiplication of the common terms with the LOWEST exponent. That's all.

Step-by-step explanation:


Related Questions

simplify 4/7 diveded by 3/-8​

Answers

Answer:

- 32/21 or - 1 11/21

Step-by-step explanation:

Select three ratios that are equivalent to 11:1 A: 1: 11 B 22:2 C 55:5 D 9:99 E 110: 10

Answers

Answer:

B 22;2 c 55:5 E 110:10

Step-by-step explanation:

multiplying is key  

Answer:

B,C,E

Step-by-step explanation:

divide each of them and if the result is equal to 11 so it is equivalent to 11:1

There are 11 apples in a basket. 5 of these apples are green.the rest of them are red. What are the ratio of all apples to red apples? What is the ratio of green apples to red apples?

Answers

you joking me this is so easy! 11-5=66 red apples. 11:6 11 to 6 11/6different ways.

Answer:

11/6 or 1 5/6

Step-by-step explanation:

11 = 5 = 6

11/6

simplified it is

1 5/6

Identify the line of reflection,


PLEASE HELP ITS DUE IN 3 minutes!!!

Answers

Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Jonathan forgot his math homework on the kitchen table and left for school without it. He biked at the speed of 15 mph. His mother saw the homework when he was already 1 mile from home, and started chasing him. She drove at a speed of 25 mph and caught him at the school entrance. How far is the school from Jonathan's home?

Answers

Answer:

2.5 miles

Step-by-step explanation:

We know that: time = distance/speed

Now, if the distance of the school from Jonathan's home is y.

At speed of 15 mph, Jonathans time is; time = y/15 hours

At 25 mph, his mother's time was;

time = y/25 hours

We are told that Jonathan was 1 mile from home when he saw his mother.

Thus means that difference in time is;

Time difference = 1/15 hours

Thus;

y/15 hours - y/25 hours = 1/15 hours

Multiply through by 75 to get;

5y - 3y = 5

2y = 5

y = 5/2

y = 2.5 miles

If cx - d = f, what is an equivalent equation solved for X?

Answers

Answer:

(f+d)/c  

Step-by-step explanation:

First get rid of -d on the left side by adding d to both sides

cx - d = f  -->   cx = f + d

Then remove c from the left side by dividing both sides by c.

cx = f + d  -->  x = (f + d)/c

Write an equation for the parabola that has the
given vertex and passes through the given point.
Vertex
(0,-1)
Point
(1,-2)
f(x)= [?](x+ [ ]) ^2 + [ ]

Answers

Answer:

-1, 0, -1

f(x)=-1(x+0)^2-1

Step-by-step explanation:

vertex translated from (0,0) to (0,-1), so the function translated down by -1

f(x)=a(x-0)^2 -1

substitute (1,-2) to solve a,

a(1-0)^2 -1 = a-1 = -2

a=-1

thus, f(x)=-1 (x+0)^2 -1

Please help me I’ll natal brainest I need help .

Answers

Answer:

B

Step-by-step explanation:

Next time, please show us the question! Luckily I know that the question is asking "which of these is a function" but not a lot of people can assume that. The answer is B because a function can't have repeating x values or more than 1 x value that's the same. None of the x values in B repeat so it's a function! Also, remember that y values CAN repeat, so if the y values repeat, it doesn't mean it isn't a function.

Do you think you can write a disjunction that has no
solution? Explain your reasoning.
what is the answer for this

Answers

Answer:

no

Step-by-step explanation:

then you have nothing like no "pazas"!

A study was conducted on the effects of divorce. Researchers gathered data from a random sample of 5,125 adults and measured quite a few variables, in addition to the explanatory variable of divorce and the response variable of shorter life span. According to a newspaper article summarizing the study, those who divorced were more likely to be less physically active, at an unhealthy weight, and smokers. Those who were married were about 15% more likely to be deceased. What conclusion can we draw from this study? Explain. (5 points) We can infer a cause-and-effect relationship because the sample was selected randomly. We cannot infer a cause-and-effect relationship because we do not have a control group. We can infer a cause-and-effect relationship because multiple variables were included. We cannot infer a cause-and-effect relationship because the treatments imposed were not blocked correctly. We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.

Answers

Answer:

We can infer a cause-and-effect relationship because multiple variables were included.

Step-by-step explanation:

The multiple attributes for the divorced ones are

1) less physically active

2) an unhealthy weight,

3) smokers.

The attribute showing the % of the married is

1) death

So when we compare the two groups married and divorced we see different variables are involved in evaluating the percentage.

This shows a cause and effect involving multiple variables.

In cause and effect one variable is dependent and the other is independent.

The cause is the independent variable and effect is the dependent variable.

CAUSE                          EFFECT

Married                         Death

Divorced                     1) less physically active

                                  2) an unhealthy weight,

                                     3) smokers.

Answer:

We cannot infer a cause-and-effect relationship because treatments were not assigned randomly.

The difference between the areas of the figures is less than 4.

An absolute value inequality that represents this situation is ___

The solution of the inequality is ___

Thank you!!!!!!!!

Answers

Answer:

We know that:

If T = area of the triangle

and R = area of the rectangle:

I T - RI < 4.

Now, we know that:

T = 8*6/2 = 8*3 = 24

R = 4*(x - 4) = 4*x - 16

Then replacing those values, we can write:

I24 - (4*x - 16)I < 4

I40 - 4*xI < 4

Now let's solve it:

First we aim for the first value that is not a solutions, this is when:

I40 - 4*xI = 4

we can write this as:

40 - 4*x = +-4

The first extreme is:

40 - 4*x = +4

x = (40 - 4)/4 = 9

The other extreme is:

40 - 4*x = -4

x = (40 + 4)/4 = 11.

Then the set of solutions is: S = (9, 11)

write the prodect 7 times 7 times 7 times 7 in exponential form

Answers

Answer: 7⁴ I believe

How do you determine what bn should be in a limit comparison test and a comparison test? When do you know that the series should use a limit comparison test or a comparison test to find if it is convergent/divergent? Examples would be greatly appreciated

Answers

Step-by-step explanation:

Pick a function that is the same "family".  It needs to be a function that you know diverges or converges.  So p-series and geometric series are common choices.  Often we make the numerators the same so that it's easy to compare.

For example, if you have an = 1 / (n − 1), you would choose bn = 1 / n.  Since n − 1 is less than n, we know an is greater than bn.  And since we know bn diverges, that means the larger function an also diverges.

Or, if you have an = 1 / (n + 1), we again choose bn = 1 / n.  However, comparison test is inconclusive here (an < bn, bn diverges), so we use limit comparison test instead.

lim(n→∞) an / bn

lim(n→∞) 1 / (n + 1) / (1 / n)

lim(n→∞) n / (n + 1)

1

The limit is greater than 0, and bn diverges, so an also diverges.

Let's try something more complicated.  Let's say an = e⁻ⁿ / (n + cos²n).  The numerator e⁻ⁿ is always less than 1, and the denominator is always greater than n.

If we again choose p-series bn = 1 / n, we know bn > an, and bn diverges, so comparison test is inconclusive.  Limit comparison test is possible, but tricky.

But, if we choose geometric series bn = e⁻ⁿ / 1, we know bn > an, and bn converges, so by comparison test, an converges as well.

We can try one more: an = (n² + 2) / (n⁴ + 5).  Let's choose bn = (n² + 2) / n⁴ = 1 / n² + 2 / n⁴.

The numerators are the same, but an has a larger denominator, so bn > an.  bn is the sum of two p-series which converge, so bn converges.  Therefore, an converges.

PLEASE HELP THIS IS MY LAST QUESTION!!

The management at a factory had determined that a worker can produce a maximum of 30 units per day. The model y=30-30e^-0..7t indicates the number of y units that a nee employee can produce per day after t days on the job. How many units can be produced per day by an employee who has been on the job 8 days ? Round your answer to the nearest whole number

Answers

the answer is 1 unit

that's the answer

Is 7 8/11 a terminate or a repeat

Answers

8/11 is non-terminating decimal
it is non-terminating

please help me asap (picture is included) (:

Answers

Answer:

d

Step-by-step explanation:

C) -17
11+x= -2 x 3
11+x=-6
x=-6-11
x=-17

a parallelogram has a base of 9 units and an area of 12 square units. what is the corresponding height for the base

Answers

1 What is one into one? 1

A phone company charges for service according to the formula C(n) = 23 + 0.2n, where n is the number of minutes
talked, and c(n) is the monthly charge, in dollars.
Find the rate of change.

Answers

Answer:

...........................

(18 - ab) + 4b (if a = -2 and b = -5)

Answers

18+2•(-5)-20
18-10-20
-12

What is the value of 5 Z when Z is equal to 2

Answers

Answer:

10?

Step-by-step explanation:

5 times Z= 5x 2= 10

HELP FAST PLZ!!!!!! (07.01)
What is the value of x in the equation 8 + x = 37
O -5
O 5
O 11
O 24

Answers

Answer:

x = 29

Step-by-step explanation:

8 + x = 37

Subtract 8 from each side

8-8 + x = 37-8

x = 29

Place each expression in the column of what operation you would perform first.
70 POINTS!! PLEASE HELP!! ASAP! PLEASE SOMEONE HELP ME ASAP

Answers

Answer:

Multiplication:                Division:                  Addition:                Subtraction:

100 * 2/5                      100/2 *5                      89 + 43 - 10             4 - 5 + 7

5 + 3 - 8 * 10                 14 - 4/8                       (4 + 3)/ 2 (idk about this one)

6 * 3 - 8                         15 + 8 / 4 - 6

                                    2/3 + 4 * 2

Hope this helps!

Answer:

100*2/5, 6*3-8, 2/3+4*2, 5+3-8*10 goes to multiplication first. 100/2*5, 14-4/8, 15+8/4-6 goes to division first. (4+3)/2, 89+43-10 goes to addition first. 4-5+7 goes to subtraction first.

Step-by-step explanation:

Follow the order of the operations (Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.) Addition and subraction, multiplication and division gets determined by reading from left to right. Whichever comes first will be first calculated.

15+8/4= 8/4 is first. Division.

14-4/8= 4/8 is first. Division.

2/3+4*2= 4*2 is first. Multiplication.

100*2/5= Multiplication is first.

100/2*5=100/2. Division.

6*3-8=6*3. Multiplication.

(4+3)/2=(4+3). Addition.

89+43-10= 89+43. Addition.

4-5+7=4-5. Subtraction.

5+3-8*10= 8*10. Multiplication.

Solve 3[-x + (2 x + 1)] = X – 1.
Х=

Answers

Answer:

x=-2

Step-by-step explanation:

I need help, anyone please.

Answers

Answer:

Its B

Step-by-step explanation:

Linear funtions need 1 x value for every y value so its B

1) Which of these situations can be represented by the opposite of 80? Select all that apply. *
a) An airplane descends 80m.
b) An elevator ascends 80m.
c) The cost of a train ticket drops $80.
d) You remove 80 songs from an iPhone.
e) Suzy's grandmother is 80 years old.

Answers

Answer:

D because if you remove the song there will be no more numberrs which is the opposite.

Situations A, C and D are the correct answers.

From the options, we need to check the situations opposite to 80.

What are integers?

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Now,

Situation A: An aeroplane descends 80 m, this can be represented in integer form as -80.

Situation B: An elevator ascends 80 m, this can be represented in integer form as 80.

Situation C: The cost of a train ticket drops by $80, which can be represented in integer form as -80.

Situation D: You remove 80 songs from an iPhone, which can be represented in integer form as -80.

Situation E: Suzy's grandmother is 80 years old, which can be represented in integer form as 80.

Therefore, situations A, C and D are the correct answers.

To learn more about integers visit:

https://brainly.com/question/15276410.

#SPJ2

How many times does the quadratic function below intersect the x-axis?
y = x+3x+15

Answers

B. 0

because it’s a positive parabola and the y-intercept is greater than 0

Solve by using the quadratic formula: x^2 - 6x + 7 = 0 Please enter any square root values using "sqrt" or the decimal answer rounded to the nearest hundredth (i.e. V2 = sqrt(2) or 1.41).​

Answers

Given parameters:

 Quadratic expression:

                 x² - 6x + 7 = 0

Solve using quadratic formula;

                      x   = [tex]\frac{-b +/- \sqrt{b^{2 } - 4ac} }{2a}[/tex]

From the equation;

  a  = 1, b = -6 and c = 7

Input the parameters and solve;

           x = [tex]\frac{-(-6) +/- \sqrt{-6^{2 } + 4 x 1 x 7 } }{2 x 1}[/tex]

          x = [tex]\frac{6 +/- \sqrt{36} +28 }{2}[/tex]

        x = [tex]\frac{6 +/- \sqrt{64} }{2}[/tex]

          x = [tex]\frac{6 + 8}{2 }[/tex]    or [tex]\frac{6-8}{2}[/tex]

          x = 7 or -1

         

Answer:x is 7 or -1

Step-by-step explanation: based on the quadratic expression

Company A charges a $100 annual fee plus a $9/hr car share fee. Company B
charges $120 plus $7/hr. What is the minimum number of hours that a car
share needs to be used per year to make Company B a better deal?
O A. 11
O B. 10
O C. 12
O D. 9

Answers

Answer:

A.11

Step-by-step explanation:

i think 11 hours is the minimum number of hours that a car share needs to be used per year because it might also make Company B a more stabilized deal.

Answer:

A, 11

Step-by-step explanation:

Explanation: if you ignore the annual and just multiply both hourly by 10 and add the annually after they are both equivalent to 190 and since B costs less from 11 hours and beyond B will cost less.

4) A B с D 2 2 If these numbers are ordered from least to greatest, at which letter will be located? A) A B) B. © C D) D​

Answers

Answer: C

Step-by-step explanation: (1/5 in decimal form is 0.2) (25% in decimal form is 0.25) (then u got 1.3 and) (2/7 in decimal form is (0.28 so A= least D= greatest) A: least, B: middle C: to, D: greatest

so A: 1/5, B: 25% C: 2/7 D: 1.3

so your answer to this question is D

in order to find the biggest decimal you'll have to see which number is bigger in front of the decimal and if there is no number infront look right behind it, D is the greatest because 1.3 is another way of saying 1 whole and 1/3 but besides the point your answer is C

In your own words, explain what it means to dilate a triangle.

Answers

Answer:

It means that you take a triangle and make another one but this time it is not the same size of the first one but the same shape. In other words make it bigger or smaller than the first one.

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