How many triples of the 3 positive integers (x,y,z) are products of 24

Answers

Answer 1

Answer:

Final answer:

To find the triples of the 3 positive integers (x,y,z) that are products of 24, consider the prime factorization of 24 and distribute these prime factors among x, y and z. Remember to consider permutations.

Explanation:

The student is asking about triples of positive integers (x,y,z) whose product is 24. To find these triples, consider the prime factorization of 24, which is 2^3*3.

Triplet possibilities are created by distributing these prime factors among x, y, and z. For instance, (1,1,24), (1,2,12), (1,3,8), (1,4,6), (2,2,6), and their permutations.

When considering permutations, remember each triple can be ordered in 3! = 6 ways. Making each distinct triple six separate triples. For example, (1,1,24) becomes [(1,1,24), (1,24,1), (24,1,1), (1,24,1), (1,1,24), (24,1,1)]. Repeat this process for all the distinct triples.

To get the total number of triples, count all the distinct permutations. Keep in mind the triple where all numbers are equal, such as (2,2,6), should be counted only once, as its permutations do not produce distinct triples.

Learn more about integer triples here:

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Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?graph of function f of x equals negative 11 by 3 multiplied by x plus 11 by 3 and graph of function g of x equals x cubed plus 2 multiplied by x squared minus x minus 2

One
Two
Three
Four

Answers

Answer:

The total number of solutions is one

Step-by-step explanation:

we have

$f(x)=-(11)/(3)x+ (11)/(3)$

$g(x)=x^(3)+2x^(2)-x-2$

To solve the system of equations equate f(x) and g(x)

$f(x)=g(x)$

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

$x=1$

There is only one point of intersection both graphs

therefore

The total number of solutions is one

Answer:

the answer is One

Step-by-step explanation:

A solution is where the two lines intersect on the graph, and as you can see, in the picture above, the two lines only intersect once

PLEASE HELP WITH THIS!!!**BRAINLIEST IF 2 PPL ANSWER******

All help is appreciated

Answers

Here is the graph using Desmos (highly recommended for this kind of question.

The red line is for f(x) and the blue line is for g(x)

I think the answer is A.

Solve the inequality and graph the solution.
6d - 10 > 8

Answers

Answer:

d>3

Step-by-step explanation:

6d-10>8

add the 10 to both sides

6d>18

divide the 6 from both sides

d>3

· If the value of +/= , find the value of + /

Answers

if x/y=0 and we're finding x,

you would multiply y on both sides so x=0

If this wasn't the answer you were looking for, tell me and I can edit my answer

Marissa rode her bike to the park and back home. She lives 2 3/10 miles from the park. How many miles did Marissa ride her bike in all. Give u 20 points

Answers

$2(3)/(10) +2(3)/(10) =((2*10)+3)/(10)+((2*10)+3)/(10) =(20+3)/(10)+(20+3)/(10)\n\n=(23)/(10) +(23)/(10) =(23+23)/(10) =(46)/(10) =4(6)/(10) =\boxed{\bf{4(3)/(5)}}$

Marissa rode 4 3/5 miles in all.

Well since she rode 2 3/10 to the park and back the problem would be 2 3/10 +2 3/10 which would equal 4 6/10
hope that helps.

What is the number in scientific notation? 0.000013 enter your answer in the box.