The common factors for 24,40,56 24 , 40 , 56 are −8,−4,−2,−1,1,2,4,8 - 8 , - 4 , - 2 , - 1 , 1 , 2 , 4 , 8 .
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
24 divided by 3 = 8
40 divided by 5 = 8
56 divided by 7 = 8
GCF is basically the greatest common factor. Mostly the greatest number factor of these multiples.
Match each function with the expression representing Its Inverse function.
1. g(x)= -0.5 x
2. h(x)= 4 x
3. y= x - 4
4. f(x)= x/2
5. k(x) = x
6. p(x) = x+4
Answer:
Step-by-step explanation:
1). g(x) = -0.5x
Equation form of the given function is,
y = -0.5x
Interchange x and y,
x = -0.5y
Solve for y,
y = [tex]-\frac{x}{0.5}[/tex]
y = -2x
Inverse function will be,
[tex]g^{-1}x=-2x[/tex]
2). h(x) = 4x
Equation form of the function will be,
y = 4x
Interchange x and y,
x = 4y
Solve for y,
y = [tex]\frac{x}{4}[/tex]
Inverse function will be,
[tex]h^{-1}(x)=0.25x[/tex]
3). y = x - 4
Interchange x and y,
x = y - 4
Solve for y,
y = x + 4
Therefore, inverse of the linear equation is,
y = x + 4
4). f(x) = [tex]\frac{x}{2}[/tex]
Equation form of the function will be,
y = [tex]\frac{x}{2}[/tex]= x
Interchange x and y,
x = [tex]\frac{y}{2}[/tex]
Solve for y,
y = 2x
Therefore, inverse function will be,
[tex]f^{-1}(x)=2x[/tex]
5). k(x) = x
Equation form of the function will be,
y = x
Interchange x and y,
x = y
Solve for y,
y = x
Inverse of the function 'f' will be,
[tex]k^{-1}(x) =x[/tex]
6). p(x) = x + 4
Equation form of the function will be,
y = x + 4
Interchange x and y,
x = y + 4
Solve for y,
y = x - 4
Inverse of the function 'p' will be,
[tex]p^{-1}(x)=x - 4[/tex]
Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette’s ticket was less than the original price by what percent?
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
Answer:
$3.50 for 1 book
Step-by-step explanation:
$21/6 = $7/2 = $3.50
Answer: $3.50 for 1 book
start at -3.5 and then add to that 4.2. As if you were walking from -3.5 on the number line up 4.2 steps to the right. Where would you land?
Answer:
0.7
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
How do you show 72 × 139
(doing the work)
Answer:
10008
Step-by-step explanation:
Terri spent $4.75 on candy,
$1 on soda, and $8.20 on a
ticket. If Terri paid with a
$20 bill, how much money
did she have left
Answer:
Step-by-step explanation:
$4.75+1+$8.20= $13.95
$20.00 - $13.95 = $6.05
Answer:
$6.05
Step-by-step explanation:
candy - $4.75
soda - $1
ticket - $8.20
4.75 + 1 + 8.20
$13.95
bill - $20
20 - 13.95
$6.05
Please help me with this OMGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
[tex]The \: slope \: is \: \frac{7}{3} .[/tex]
Step-by-step explanation:
To find the slope, we have to turn the equation into the slope-intercept form which is:
[tex]y = mx + b[/tex]
The slope is the m in that form.
we will solve for y.
[tex]7x - 3y = 21 \\ \frac{- 7x \: \: \: \: \: \: = - 7x}{ - 3y = - 7x + 21} \\ \\ \frac{ - 3y}{ - 3} = \frac{ - 7x + 21}{ - 3} \\ y = \frac{7}{3} x - 7[/tex]
Answer:
Step-by-step explanation:
-3y = -7x + 21
3y = 7x - 21
y = 7/3x - 7
slope is 7/3
answer is C
Jess saved $500 working during the summer. He plans to buy school clothes with his money. He found jea
exactly twice as many shirts as jeans, how many pairs of jeans can Jess buy without exceeding $500?
Answer:
167 pairs
Step-by-step explanation:
Represent jeans with J and shirts with S
[tex]S = 2J[/tex]
[tex]Amount = \$500[/tex] --- Maximum
Required
Determine the number of pair of jeans he can buy
To represent as an inequality, we have:
[tex]S + J \leq Amount[/tex]
[tex]S + J \leq 500[/tex]
Substitute 2J for S
[tex]2J + J \leq 500[/tex]
[tex]3J \leq 500[/tex]
Divide through by 3
[tex]J \leq 500/3[/tex]
[tex]J \leq 167[/tex]
Hence, without exceeding $500, Jess can buy 167 pairs of jeans
Answer:
7
Step-by-step explanation:
30( 7 ) + 14( 12 ) =448 [tex]\leq[/tex] 500
Marc wants to know if the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners, and finds a mean age of 24.4 years and a standard deviation of 9.2 years. Ata significance level of 0.05, what is his conclusion?
Answer:
gsgsbsbsbs
Step-by-step explanation:
yewhsgshdhhssjbs
Can someone help me
Answer: its
12 4
_
7
Step-by-step explanation:
Answer:
12 4/7
Step-by-step explanation:
5 1/7 + 7 3/7 =
= 5 + 1/7 + 7 + 3/7
= 5 + 7 + 1/7 + 3/7
= 12 4/7
Answer: 12 4/7
A right triangle has one angle that measures 24°. What is the measure of the other acute angle?
Answer:
66 degrees
Step-by-step explanation:
90+24=114
180-114=66
Answer:
66 degrees
Step-by-step explanation:
a right triangle must have a 90 degree angle and our other angle is 24. we also know that the sum of all the angles must be 180. 90+24=114
180-114 is 66
2 year loan at 6 percent interest rate and $264.00 paid wa
Answer:2,576
Step-by-step explanation:
Question 5 of 10
If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f+ g)(x).
O A. 3x2 + 6
B. 5x2 - 6
C. 3x2 - 4
D. 5x2 - 4
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)
Answer:
D. 5x^2-4
Step-by-step explanation:
We are asked to find (f+g)(x), which is really just the sum of the two functions.
(f+g)(x)=f(x)+g(x)
We know the the functions are:
• f(x)= 4x^2+1
• g(x)=x^2-5
Substitute the functions in.
(f+g)(x)=(4x^2+1)+(x^2-5)
Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.
(f+g)(x)= (4x^2+x^2)+(1-5)
Add the terms with x^2
(f+g)(x)=(5x^2)+(1-5)
Add the constants or terms without variables.
(f+g)(x)=(5x^2)+(-4) = 5x^2-4
The sum of the functions is D. 5x^2-4
Solve each inequality. I need help please.
Answer:
n [tex]\geq[/tex] -28
Step-by-step explanation:
Since you're dealing with negative numbers, flip the sign. Furthermore, to isolate n, divide 84 by -3 and you will get -28. Your answer therefore, is n [tex]\geq[/tex] -28.
PLZ HELP I WILL GIVE BRAINLIST
Answer:
I'm sorry
Step-by-step explanation:
Darnell has $1.20 in quarters and nickels. He has 8 coins altogether. How many coins of each kind does he have?
Answer:
4 quarters
4 nickels
Step-by-step explanation:
For a giveaway a local radio station is putting together goodie bags . The bags will include tickets and posters each bag will receive an equal share of 54 tickets and 36posters
Answer: There are 18 goodie bags, each with 3 tickets and 2 posters.
Step-by-step explanation:
Katie has $120 on her cafeteria card. Every time she orders a meal, $4.50 is deducted from the value on her card. The amount of money she has on her card, y dollars, is a function of the number of times she orders a meal from the cafeteria, x. How many meals has Katie ordered from the cafeteria if she has $70.50 left on her card?
Answer:
i think it's 11 meals have been ordered
Garrett needs 3 gallons of fruit juice to make punch.
He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.
Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.
Answer:
3 of each gallon
Step-by-step explanation:
It worked for me on ttm
Answer:
4 of 1/3 and 1 of 1/6
Step-by-step explanation:
5/6+2/3=9/6
9/6+4/3=17/6
17/6+1/6=18/6
18/6=3
Pls Help! Will mark brainliest!!!! 20 Points!!!!!
Answer:
I think x = 4
Step-by-step explanation:
x3 + -2x2 + -8x = 0
Reorder the terms:
-8x + -2x2 + x3 = 0
Solving
-8x + -2x2 + x3 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + -2x + x2) = 0
Factor a trinomial.
x((-2 + -1x)(4 + -1x)) = 0
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:
Simplifying
x = 0
Solving
x = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x = 0
Subproblem 2
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:
Simplifying
-2 + -1x = 0
Solving
-2 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2
Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2
Combine like terms: 0 + 2 = 2
-1x = 2
Divide each side by '-1'.
x = -2
Simplifying
x = -2
Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve:
Simplifying
4 + -1x = 0
Solving
4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4
Combine like terms: 0 + -4 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4
Write the relation as a set of ordered pairs.
a. ordered pairs: {-1, -2), (0, 1), (3, 2)}
b. ordered pairs: {-2, -1), (1, 0), (3, 2)}
c. ordered pairs: {(-2, -1), (0, 1), (2,3)}
d. ordered pairs: {(-1, -2), (1, 0), (2, 3)}
Jordan hiked to the top of a mountain. He started the hike at 8:30 A.M. It took 2 hours and 15 minutes to get to the top of the mountain and 1 hour and 30 minutes to hike back down. What time was it when Jordan finished the hike?
Please help me fast!!!!
Answer:
12:15 PM
Step-by-step explanation:
1/3 x (21.69 – 24.99)
Answer:
I think it might be 0.30
Step-by-step explanation:
Use the relashonships between the angles to find the value of x
Answer: and I oop skssss
Step-by-step explanation:
Any help please I appreciate it if u lend a helping hand plzzzzz
Determine the range of the following relation.
Input output
-4 1
0 7
2 2
7 7
A
{2, 7}
B
{1, 2, 7}
C
{–4, 0, 2, 7}
D
{–4, 0, 1, 2, 7}
Answer:
The range of the relation is:
Range R = {1, 2, 7}
Therefore, option B is true.
Step-by-step explanation:
Given the relation
Input Output
-4 1
0 7
2 2
7 7
Determining the domain:
We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.Thus, the domain of the relation is:
Domain R = {-4, 0, 2, 7}
Determining the range:
We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.Thus, the range of the relation is:
Range R = {1, 2, 7}
Please note that the duplicated elements in the domain or the range of the function are written only once.Therefore, option B is true.
-2(m+1) = 10, whats m?
-2(m+1) = 10
-2m+-2 = 10
-2m = 12
-m = 6
Answer: m = -6
I will give barinest if solved
Answer:
[tex]x=19[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Line\ YZ\ ||\ ZW\\\angle XYM=90\\Hence,\\Line\ Segment\ XY\ being\ the\ transversal,\ cuts\ YZ\ and\ XW.\\Hence,\\We\ know\ that\\The\ set\ of\ co-interior\ angles [Interior\ angles\ on\ the\ same\ side\\ of the\ transversal]\ are\ supplementary.\\Hence,\\Here,\\The\ pair\ of\ co-interior\ angles\ formed\ are\ \angle XYZ\ and\ \angle YXW.\\Hence,\ they\ are\ supplementary\ too.\\Hence,\\\angle XYZ\ + \angle YXW= 180\\Hence, by\ substituting\ XYZ=90+2x,\angle YXW=3x-5[/tex][tex]90+2x+(3x-5)=180\\85+5x=180\\5x=180-85\\5x=95\\x=19[/tex]
Which of the following coordinates is located in Quadrant IV?
(4, –2)
(–2, –4)
(4, 2)
(–2, 4)
In 2011, the population of Mali was about 1.584 x 107 people. What is this number written in standard
notation?