One of the two positive integers is 5 less than the other. If the product of the two integers is 24, find the integers.
Answers
Hello from MrBillDoesMath!
Answer:
3,8
Discussion:
Let "n" and "p" be the two positive integers. Then
n = p - 5 (*)
and
np = 24 (**)
Substituting (*) in (**) gives
np = 24 => as p = n+5
n(n+5) = 24 =>
n^2 + 5n - 24 = 0 => factor polynomial (n+8)(n-3)
So n = 3 or -8 but as n is positive, n = 3 Then p = n + 5 = 8
Check:
Is n (3) 5 less than p (8). Yes
Does np = 3 *8 24. Yes
Thank you,
MrB
Related Questions
-3 progression 8 common difference what is the 28th term
A truck rental company rents a moving truck for one day by charging $29 plus 0.07 per mile.(a) Write a linear model that represents the cost based on the numbers of miles driven in a day.(b) What is the cost of renting the truck has driven 230 miles?
at a local fitness center, members pay a $12 membership fee and $5 for each aerobic class. Nonmembers pay $6 for each aerobic class. for what number of aerobics classes will the cost for member and nonmembers be the same? solve
Number pattern 1,1,2,6,24,120
Answers
The factorized form of the expression using the difference of two square is 2(x+3)(x-3)
Factorizing functions
Given the following function expressed as 2x^2 - 18
Factor out the GCF
2(x^2 - 9)
This can be written as
2(x^2 - 3^2)
According to the difference of two square, a^2 - b^2 = (a+b)(a-b)
Simplify
2(x^2-3^2) = 2(x+3)(x-3)
This given the factorized expression of 2x^2- 18
Learn more on factoring here: brainly.com/question/24734894
#SPJ2
Hi Brainiac
2x² - 18
First you need to factor out the common term which is 2
2(x²-9)
Now factor x²-9
2(x+3)(x-3)
I hope that's help:0
Answers
=9−1 6/3
=11/3
=3 2/3
All you have to do is add my answer to 5 1/3 and if it is 9, then it is correct
3x+2y=14
2x-4y=4
6x+4y=28
2x-4y=4
8x = 32
x = 4
2y = 14 - 12 = 2
y = 1
(x , y) = (4 , 1)
Question:How can check your solution by writing the system as a matrix equation and using the inverse matrix?.
Answers
2 −4] = (14
4) The left side can be called your "A" matrix. I gave you the idea so that you may continue with it. Hope this can help
Final answer:
To check the solution, represent the system of equations as a matrix equation, find the inverse of the coefficient matrix, and multiply both sides of the equation by the inverse.
Explanation:
To check the solution by writing the system as a matrix equation and using the inverse matrix, we need to represent the system of equations as a matrix equation. Let's consider the given system of equations:
3x + 2y = 14
2x - 4y = 4
To do this, we can write the coefficients and constants of the system of equations as matrices:
[3 2] [x] = [14]
[2 -4] [y] = [4]
Now, we can write the system of equations as a matrix equation: AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.
Next, we need to find the inverse of matrix A. If the inverse exists, we can multiply both sides of the matrix equation by the inverse of A to find the solution for X.
If we find the inverse of A and multiply both sides of the equation by the inverse, we get:
X = A-1B
Substituting the values of A-1 and B, we can find X, which represents the solution to the system of equations. Therefore, we can check our solution by writing the system as a matrix equation and using the inverse matrix.
Learn more about Systems of Equations here:
#SPJ12
Answers
Answers
or, 56 = 2(2.5 breadth + breadth)
or, 56 = 7*breadth
breadth = 56*7 = 8 cm
length = 2.5*8 = 20 cm
100 = 0.20 × k
p = 0.20 × 100 × k
p = 0.20k + 100
0.20k = 100 + p
Use the table below to answer the following question.
2. Do the values in the table represent a linear function? If so, what is the function rule?
(1 point)
The values do not show a linear function.
Yes, the values show a linear function: y = x + 4.
Yes, the values show a linear function: y = 2x + 2.
Yes, the values show a linear function: y = 2x.
Use the following graph to answer the question.
3. Write an equation for the line shown in the graph.
(1 point)2/20/2015 Writing Rules for Linear Functions
https://www.connexus.com/content/render.aspx?disableAssessment=true&printpreview=true&printpopup=true&idSection=504591&idCourse=31343&idWebus… 2/2
10 = 4x
y = 2x + 10
y = 10x – 2
y = –x + 10
Write a function rule for the total cost.
4. One frozen yogurt store sells frozen yogurt for $3.00 per cup and $1.25 per topping. Write a linear
equation to show the total cost of a cup of frozen yogurt. Then calculate the total price for one cup of
frozen yogurt with 4 toppings. (1 point)
y = 1.25x + 3; $5.00
y = 3x + 1.25; $13.25
y = 1.25x + 3; $8.00
y = 5x + 3; $8.00
Answers
To figure out how much the bus driver gets paid everyday you will need this function.
P = 0.20K + 100
2.
the table:(x)(-2,0,2,4 (y)-4,0,4,8
The values in the table do represent a linear function.
Y = 2X
Plug in values from the table
-4 = 2(-2)
-4 = -4
3.
Connexus login?
4.
The equation that shows the total cost of a cup of frozen yogurt is Y = 1.25X + 3; $8.00.