Answers
The least common multiple is the smallest expression that can be divided by both of the given expressions.
x^2 - 16 = (x - 4)(x + 4)
x^2 + 4x - 32 = (x + 8)(x - 4)
Both of the factored versions of the expressions have an (x - 4) in them. Thus, that will automatically be included in the LCM. Next, we have to include the (x + 4) and the (x + 8) in our LCM.
LCM = (x - 4)(x + 4)(x + 8)
Hope this helps! :)
Answer:
(x - 4)(x + 4)(x + 8)Step-by-step explanation:
Factorize the given expressions:
x² - 16 = x² - 4² = (x - 4)(x + 4)x² + 4x - 32 = x² + 8x - 4x - 32 = x(x + 8) - 4(x + 8) = (x - 4)(x + 8)The LCM is the product of all unique factors of both expressions:
(x - 4)(x + 4)(x + 8)Related Questions
Marty is 54 years old, and his niece is 6. How many times older is Marty than his niece? Choose the answer that has the correct equation AND the correct solution to the equation.
6x = 54; x = 8 times older
54 + x = 6; x = 48 times older
6x = 54; x = 9 times older
54x = 6; x = 9 times older
Answers
Answer:
6x = 54; x = 9 times older
Step-by-step explanation:
Not sure where to start
Answers
Grandma Maude wanted a tall cake for her 80th birthday. The baker made a cake with 4x3 – x layers. Each layer was 2 + 3x2 cm. Which expression shows the total height of Grandma Maude’s cake?
Answers
Using proportions, it is found that the expression that shows the total height of Grandma Maude’s cake is:
[tex]t = 12x^5 + 5x^3 - 2x[/tex]
This question is solved by proportions, using a rule of three.The measure of one layer, in cm, was of [tex]2 + 3x^2[/tex]. In total, there were [tex]4x^3 - x[/tex] layers.The rule of three is:
1 layer - [tex]2 + 3x^2[/tex] cm
[tex]4x^3 - x[/tex] layers - t cm
Applying cross multiplication:
[tex]t = (4x^3 - x)(2 + 3x^2) = 12x^5 + 5x^3 - 2x[/tex]
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
Answer:
12x5 + 5x3 – 2x cm
Step-by-step explanation:
Which number comes next in the series? 7, 10, 10, 13, 16, 16,
Answers
Answer:
19
Step-by-step explanation:
In the first number, they add three and that number is repeated.
To further explain, the series would continue like this:
7, 10, 10, 13, 16, 16, 19, 22, 22...
Hope this helps! Brainliest would be appreciated!
After Arianna completed some work, she figured she still had 78.09 pictures to paint. If she completed another 34.23 pictures, how many pictures does Arianna still have to paint? Convert the mixed numbers into decimals before calculating the sum or difference.
Answers
Answer:
43.86
Step-by-step explanation:
that's da awnserrr
135% as a fraction or a mixed number fully simplified please
Answers
Answer:
135% = 27/20 = 17/20 as a fraction
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
135% = 135/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 135 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(135,100) = 5. So,
(135÷5)/(100÷5) = 27/20 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 135/100 is also equal to 1 7/20 when expressed as a mixed number.
which relation is a function? PLEASE HELPPPPP
Answers
Step-by-step explanation:
in the first
x =2y
actually I don't think that I can get the last two relations
i will give you brainly if help
Answers
Answer:
i think its D im not sure tho
Step-by-step explanation:
whats the perimeter of a semi circle which's radius is 100cm
Answers
Answer:
257 cm
Step-by-step explanation:
hope this helps Please inform me when it hepls
and Please mark me as Brainlist
n is m% of what? please help its hard.
Answers
Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.
Step-by-step explanation:
What is the formula for calculating momentum?
Answers
Answer:
(c) p = vm
Step-by-step explanation:
Momentum, represented by 'p', is the product of mass and velocity. It is a vector quantity, just as velocity is a vector quantity.
p = vm
Hey! I really need help with this question:
Giving out brainiest to best answer and 100 points. <3
Please help.
Question: How do I memorize words faster and better? And- how do I study faster and quicker?
Answers
Answer:
Idea one, if you want to memorize words fast and better, you can put part of it in your password of something and then try to log in to whatever you set the password on everyday. Idea two, if you want to study fast and quicker you need to spend big half of the day learning what you need to learn and reading books.
Hope this helps!
The best way I could explain this is that everyone has there own pace at doing things. Like me I learn very fast but I have to read over something to memorize them.
The only way I could say is that maybe take more notes and go over them everyday. It helped me a lot when I wanted to learn more and get better grades. Also another way is taking you time at first and when you get use to it you'll be able to read faster learn quicker but you have to go slow first to go fast.
I need help with this and i dont know how to do it
Answers
Answer:
see attached
Step-by-step explanation:
In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.
If the inequality symbol is < or >, the dot will be an open circle.
If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.
The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.
The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.
Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.
_____
Additional comment
I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...
-8 ≤ x and x ≤ -2
Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...
-8 ≤ x ≤ -2
When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...
-8 ≤ x ≤ -2
effectively shows you that the number line is shaded between solid dots at -8 and -2.
Please hurry!! This assignment is almost due!!
Answers
Answer: x = 17
Step-by-step explanation:
Hi there!
First, since we know that these two lines are parallel, 3x+14 is going to be congruent to the supplementary side of 7x-4. Given this, we are able to solve for x as we know that the sum of supplementary angles is 180. All you have to do is set up 3x+14+7x-4=180
Now, just use simple order of operations and combining like terms to isolate x. you will end with 17! :)
Hope this helps!
The area of a square pond is 1000m2.A path of uniform width is surrounded outside the pond and its area is 369m2.find the outer length of the path
Answers
Answer:
631 m²
Step-by-step explanation:
Outer length of park = Total area - Area of pond
Outer length of park = 1000 - 369
Outer length of park = 631 m²
Answer:
Hope it will help you a lot.
A factory employs 1274 people across three departments. The second department employs 70 more people than the first department, and the third department employs 84 more people than the second department. How many people work in each department?
50 POINTS + BRAINILEST TO CORRECT ANSWER <3
also please show step by step if you can :D
Answers
Answer:
350
Step-by-step explanation:
Write out the equation
d + d + 70 + d + 154 = 1274
Simplify
3d + 224 = 1274
Solve
3d = 1050
d = 1050 / 3
d = 350
Answer:
350
No probelm
Problem #15: A box contains 4 black balls, 7 red balls, and 3 green balls. Three balls are
drawn (without replacement). Find the probability that the balls drawn are red, green,
and black in that order.
Answers
The probability that the balls drawn are red, green, and black in that order will be 3/78.
What will the probability be?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
The box contains 4 black balls, 7 red balls, and 3 green balls. The total number will be:
= 4 + 7 + 3
= 14 balls.
The probability that the balls drawn are red, green, and black in that order will be:
= P(red) × P(green) × P(black)
= 7/14 × 3/13 × 4/12
= 1/2 × 3/13 × 1/3
= 3/78
The probability is 3/78.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Can y’all please help me with these questions
Answers
Answer:
13. STR
14. VY
Step-by-step explanation:
I hope this helps!
Lucy wants to bake a circular apple pie with a radius of 5 in. What is the minimum circumference of the pie pan?
a
Please be accurate of your answer and explain.
Answers
Answer: 6 in.
Step-by-step explanation:
Check all that apply. If csc=13/12 then:
A. sec =12/13
B. COS =12/13
C. tan =12/5
D. sin =12/13
Answers
Answer:
A. sec =12/13×
B. COS =12/13×
C. tan =12/5✓
D. sin =12/13 ✓
Step-by-step explanation:
we know,
using Pythagoras formula,
p=12,h=13 ,b=?
h^2 =p^2 +b^2
b=5
so tan = p/b
=12/5
sin=p/h and cosec= h/p
D. sin =12/13
For which value of x is line L parallel to line M?
Answers
Answer:
x=8
Step-by-step explanation:
5x+10+130=180
5x+140=180
5x=40
x=8
The area of any rectangular shape is given by the product of its width and length. If the area of a particular
rectangular garden is given by A = 15x°-35x and its width is given by 5x, then find an expression for the
garden's length.
Answers
The expression that can be used to find the
garden's length is l = 5x(x - 7) / 5x where l = (x - 7)
Given:
Area of a rectangle = 15x² - 35x
Width of the rectangle = 5x
Length of the rectangle = l
Area of the rectangle = length × width
15x² - 35x = l * 5x
Factor out the left hand side
5x(x - 7) = l * 5x
Divide both sides by 5x
5x(x - 7) / 5x = l
x - 7 = l
Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x
Learn more about area of a rectangle:
https://brainly.com/question/14137384
Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)?
Answers
[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]
SOMEBODY PLZ CHECK IF MY ANSWER ARE CORRECT NO LINKS PLZ AND THANK YOU
Answers
Answer:
the first one's right i think
A rectangular garden is 24 feet wide. Its length is 4 feet more than twice the width. What is the area of the garden?
Answers
Answer:
1248
Step-by-step explanation:
w = 24feet
L=2w+4feet that means L= 2*24+4 =52
aera is 24*52=1248
B.match illustrate by using rectangular regions then solve
C.complete each number sentence by writing the missing fraction then use the shaded regions to show the number sentence
WARNING:
I'LL DELETE YOUR ANSWER IF ITS NOT CORRECT
also theres a picture above
(WITH STEP BY STEP EXPLANATION )
Answers
Fractions can be represented by shading parts of a rectangular region
The simplified expressions are:
[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]Complete number sentenceTo start with, we simplify the fraction expressions as follows:
(1) [tex]\frac 28 + \frac 24 =[/tex]
Take LCM
[tex]\frac 28 + \frac 24 = \frac{2 + 4}8[/tex]
[tex]\frac 28 + \frac 24 = \frac{6}8[/tex]
Simplify
[tex]\frac 28 + \frac 24 = \frac 34[/tex]
(2) [tex]\frac 9{10} - \frac 35 =[/tex]
Take LCM
[tex]\frac 9{10} - \frac 35 =\frac{9 - 6}{10}[/tex]
[tex]\frac 9{10} - \frac 35 =\frac{4}{10}[/tex]
Simplify
[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex]
(3) [tex]\frac 46 - [\ ]=\frac{2}{6}[/tex]
Replace the blank with x
[tex]\frac 46 -x=\frac{2}{6}[/tex]
Collect like terms
[tex]x = \frac 46 -\frac{2}{6}[/tex]
Take LCM
[tex]x = \frac{4 - 2}{6}[/tex]
[tex]x = \frac{2}{6}[/tex]
Simplify
[tex]x = \frac{1}{3}[/tex]
(4) [tex]\frac{}{12} + \frac 26 = \frac{2}{12}[/tex]
Replace the blank with x
[tex]\frac{x}{12} + \frac 26 = \frac{2}{12}[/tex]
Collect like terms
[tex]\frac{x}{12} = \frac{2}{12} -\frac 26[/tex]
Take LCM
[tex]\frac{x}{12} = \frac{2 - 4}{12}[/tex]
[tex]\frac{x}{12} = -\frac{2}{12}[/tex]
Multiply both sides by 12
[tex]x=-2[/tex]
(5) [tex]\frac{9}{18} - \frac{3}{9}[/tex]
Take LCM
[tex]\frac{9}{18} - \frac{3}{9} = \frac{9 - 6}{18}[/tex]
[tex]\frac{9}{18} - \frac{3}{9} = \frac{3}{18}[/tex]
Reduce fraction
[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]
Missing fractionsSo, the simplified expressions that contain the missing fractions are:
[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]Shaded regionsSee attachment for the shaded regions
Read more about fractions at:
https://brainly.com/question/5243429
A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each package of stationery. The selling price is $6.50 per package. How many packages of stationery must be produced and sold each week for the company to generate a profit?
The company will generate a profit if;
more than or equal to
more than
less than or equal to
less than
|blank|packages of stationery are produced and sold each week.
(sorry forgot to add that part in last question, hope this one is better)
Answers
Answer:
more than 1100
Step-by-step explanation:
The contribution margin for each package sold is ...
$6.50 -3.00 = $3.50
The number of packages that must be sold to cover fixed costs is ...
3.50n > 3850
n > 1100 . . . . . . . divide by 3.50
The company will generate a profit if more than 1100 packages are produced and sold each week.
_____
Additional comment
If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.
Help help math math math please
Answers
Answer:
x = 5
Step-by-step explanation:
2x+15 = 4x+5 (because they are corresponding angles)
10 = 2x
x = 5
Answer:
x = 5
Step-by-step explanation:
Choose the equation that is modeled by the graph below:
A - y=4x
B - y=−2.33333x+4
C - y=4x−2.33333
D - y=−42.33333x+4
Answers
Answer:
B - y=−2.33333x+4 I think
HELP! I don't understand
Answers
Answer:
Step-by-step explanation: