Answers
Answer:
The correct answer is: D
Step-by-step explanation:
Consider the domain, which in this case x cannot be equal to -4 and -2.
The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]
Factorize the denominator of the fraction on the right hand side
[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]
Write out the common factors in the denominator
LCD = (x + 4)(x + 2)(x - 2)
Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)
Read more about rational equation at:
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Related Questions
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 10 kg weighs 80 N. Calculate the mass of another object that weighs 72 N.
Answers
Answer:
9kg
Step-by-step explanation:
If a 10kg object exerts a weight of 80N, it means that the gravitational acceleration is 8N/kg. This means that the weight of an object will be 8x its mass. So, if we want to find an object's mass from its weight, we simply need to divide it by 8. 72/8=9. The other object has a mass of 9kg.
Hope this helped!
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.
The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______
Answers
Answer:
The measure of first angle is 44°.
The measure of second angle is 22°.
The measure of third angle is 114°.
Step-by-step explanation:
First, you have to form expressions for the 3 angles. Let second angle be x :
First angle = (2x)°
Second angle = x°
Third angle = (92 + x)°
Next, you have to add up altogether as the total angles in a triangle is 180° :
2x + x + 92 + x = 180
4x + 92 = 180
4x = 180 - 92
4x = 88
x = 88 ÷ 4
x = 22°
Lastly, you have to substitute the x-value into the expressions :
First angle = 2(22) = 44°
Second angle = 22°
Third angle = 92 + 22 = 114°
Give a counterexample that disproves each conjecture below.
1) No triangles have two sides of the same length.
2) No women have been elected U.S. senators.
3) All~basketball players are more than 6 feet tall.
4) If you live in Texas, then youlive in Houston.
5} If it is a cell phone, then it has a touch screen.
6) If x is any number, then x2> 2.
8) If x >_ 0, then x + 2 = 7.
9) If x2 =16 , then x = 4.
10) All figures with four sides of equal length are squares.
11) The square of a number rs largex than the number.
12) If a numbex is prime, then it zs an. odd number.
Answers
Answer:
1) No triangles have two sides of the same length.
An isosceles triangle is a triangle that has 2 sides that have a same length.2) No women have been elected U.S. senators.
Dianne Feinstein, a woman-elected senator of California.3) All basketball players are more than 6 feet tall.
Isaiah Thomas is a prime example of a basketball player who has the height of 5'9.4) If you live in Texas, then you live in Houston.
Matthew McConaughey, a born-and-raised Texan star lives in Austin near his mom and other family members.5) If it is a cell phone, then it has a touch screen.
Before smart phones, there were flip phones where the user would have to dial everything to able to use it.6) If x is any number, then x2> 2.
Not sure what you meant.8) If x >_ 0, then x + 2 = 7.
Not sure what you meant.9) If x2 =16 , then x = 4.
Not sure what you meant.10) All figures with four sides of equal length are squares.
Rectangles have longer sides equal in length and their shorter sides equal in length with each other, but is not considered a square.11) The square of a number rs largex than the number.
Not sure what you meant.12) If a number x is prime, then it zs an. odd number.
Not sure what you meantHoped this help!
You should rephrase some of your questions because I have no idea what it's saying.
-Bob Ross
Darnell uses 1 1/4 packages of beads to make 10 bracelets. He wants to make 25 bracelets. How many packages of beads will he use?
Answers
Answer:
I believe the answer is 3 1/8
Step-by-step explanation:
Since he uses 1 1/4 packages just to make 10, we can start with him making the 20. That would mean he uses 2 1/2 packages. Now all we have left is the 5 in 25. 5 is half of 10 and since you use 1 1/4 to make 10 bracelets, use half of it to make 5. Add up all the package use and you get 3 1/8. This was kinda rushed so I'm not 100% sure, but I'm like 95% sure. Hope this helps!
3¹/₈ packages of beads are required to make 25 bracelets
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
Darnell uses 1 1/4 packages of beads to make 10 bracelets that is :
1 ¹/₄ = 5/4 packages of beads requires to make = 10 bracelets
Now, divide both side by 10 we get :
to make 1 bracelets = 5/40 = 1/8 packages of beads are required
Now, to find the numbers packages of beads to make 25 bracelets multiply both side by 25 :
to make 25 bracelets = 25/8 = 3¹/₈ packages of beads are required.
Therefore, 3¹/₈ packages of beads are required to make 25 bracelets
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PLEASE HELP!!!!
Drag each tile to the correct box.
Match each savings plan to its description.
401(k)
Roth IRA
403(b)
529 plan
health FSA
a tax-deferred retirement savings plan available to employees of some nonprofit
organizations and educational Institutions
a tax-advantaged college savings plan
an employer-offered retirement account that accepts contributions from
employees and employers
a tax-advantaged savings account available through employers to pay for
qualified medical expenses
a retirement Investment account managed by individuals, deposits are taxable,
but funds are tax exempt when withdrawn at retirement
Answers
Answer:
403(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
I looked it up. Good luck :)
Answer:
401(b)
529 plan
401(k)
health FSA
Roth IRA
Step-by-step explanation:
Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)
Answers
Answer:
-10
-20
-26
48
40
-2
Step-by-step explanation:
I used a calculator to make sure
PLEASE help due today
Answers
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
Answer: Number 3; $1250
Number 4; Salesperson A ($7428.30)
Number 5; 18%
Number 6; Rent 780, Food 900, Medical 450, Clothes 300, Miscellaneous 570.
Step-by-step explanation: (No 3) The principal amount is 5000, the rate is 5% (0.05) and the time in years is 5. The formula for calculating simple interest is as follows;
I = P x R x T
I = 5000 x 0.05 x 5
I = 1250
Therefore Joanna will pay $1,250 as interest
(No 4) The amount made by both salespersons is shown as follows;
A = 11% x 67530
A = 0.11 x 67530
A = 7,428.30
B= 8% x 85740
B = 0.08 x 85740
B = 6,859.20
Therefore from the calculations above, salesperson A made more commission and the amount made is $7,428.30
(5) John's earning is 38000 and he paid 6840 for entertainment. The percentage paid for entertainment therefore is as follows;
Percent paid = (entertainment/total income) x 100
Percent paid= (6840/38000) x 100
Percent paid = 684000/38000
Percent paid = 18
Therefore he paid 18% for entertainment
(6) Nora makes a total of 3000 a month broken down as follows;
Rent = (26/100) x 3000
Rent = 0.26 x 3000
Rent = 780
Food = (30/100) x 3000
Food = 0.30 x 3000
Food = 900
Medical = (15/100) x 3000
Medical = 0.15 x 3000
Medical = 450
Clothes = (10/100) x 300
Clothes = 0.10 x 3000
Clothes = 300
Miscellaneous = (19/100) x 3000
Miscellaneous = 0.19 x 3000
Miscellaneous = 570
Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?
A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds
Answers
Answer:
Letter B
Step-by-step explanation:
Answer:
I belive the answer is B
Step-by-step explanation:
I mark as brainliest
Answers
The second answer
Explain:
if you count the grid, it's 8 right and 5 up from the dentist to his house
Write all prime numbers between 10 and 20
Answers
Answer:
11,13,17,19
Step-by-step explanation:
Answer:
11 , 13 , 17 and 19
Step-by-step explanation:
good luck :)
Lines A and CD (if shown) are straight lines. Find x. Give reasons to justify your solutions.
Please Write in a form like the table below.
Answers
Answer/Step-by-step explanation:
STATEMENT ====> REASONS
1. m<AOB = 180° ==> 1. Definition of straight angle
2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate
3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution
4. Solve as algebra to get x
5x - 15 + 90 + 2x = 180
Collect like terms
5x + 2x - 15 + 90 = 180
7x + 75 = 180
Subtract 75 from both sides
7x + 75 - 75= 180 - 75
7x = 105
Divide both sides by 7
7x/7 = 105/7
x = 15 ===> 4. Algebra
bernie spends three hours a day on homework. if the spends 3/4 of an hour on science, 3/4 of an hour on social studies, and 1/4 of an hour on english, how much time does bernie spend on math
Answers
1/4 of an hour is 15 minutes
3 hours is 180 minutes
3/4 + 3/4 = 90 minutes ( 45 + 44 )
90 + 15 = 105
180 - 105 = 75 minutes
Bernie will spend 75 minutes on math
Answer:
Step-by-step explanation:
Math = 3 - Science - social studies - english
Math = 3 - 3/4 - 3/4 - 1/4
Math = 3 - 1 3/4
Math = 3 - 1.75
Math = 1.25 or 1 1/4
What’s the value of y in this picture
Answers
Answer: A 83
Step-by-step explanation:
Add 46 to 51 then subtract from 180 to get the correct answer(83)
is |-4| equal to |4|?
Answers
Answer:
Yes
Step-by-step explanation:
Absolute value measures the distance between the number and 0. The distance between -4 and 0 is 4, and the distance between 0 and 4 is 4. Therefore, they are equal.
Answer:
yes
Step-by-step explanation:
the l l symbol is the absolute value symbol, it counts how far the number is from zero meaning that the outcome is always positive.
the set
of whole number less than 20
Answers
Answer:
maybe 3, 6, 9, 12, 15, 18?
Step-by-step explanation:
sorry if this doesn't help but I hope someone else can help you! good luck
1. Describe how to show that triangle PMO = triangle PMN using the SSS Congruence Postulate. Then, without using a protractor, find a way to show that the triangles are congruent using the SAS Congruence Postulate.
Answers
Answer:
ayudenle porfa :)
Step-by-step explanation:
porfa
15. To receive a B in his English class, Nicolas must have an average score of at least 84 on five
tests. He scored 90,91, 79, and 81 on his first four tests. What is the score range he can receive
on his last test and still receive a B in the class?
Answers
Answer:
(90+91+79+81+x)/5=84and 341+x=84*5and341+x=420and x=420-341 finally x=79
Emilia made fewer than 27 bracelets last week. The variable b represents the number of bracelets. The inequality b less-than 27 describes the number of bracelets that Emilia made. Which could be a solution to the inequality?
26
29
33
40
Answers
Answer:
26
Step-by-step explanation:
26 is the only thing less than 27
Answer:
26
Step-by-step explanation:
PLEASE HELP FOR 25 points and maybe a Brainliest . The cost y (in dollars) of getting into a fair and riding x rides is
C(x) = 1.5x +5. You only have a total of $20 to spend at the fair.
a.graph the function and identify its domain and range.
b. Interpret the slope and the intercepts of the graph.
Thank you if u helped
Answers
PLEASE HELP ME ON ALL ASAP!!!! I WILL GIVE BRAINLIEST!!!
Answers
Answer:0=16 1=23 2=30 3=37 4=44
Step-by-step explanation:
A river has a current of 2km per hour. Find the rate of Fred’s boat in still water if it travels 30 km downstream and the same time it takes to travel 14 km upstream.
Answers
Answer:
32km
Step-by-step explanation:
On Joe's bookshelf are: • 8 fiction books 3 non-fiction books • 4 historical drama books Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book? A)0.267 B)0.8 C)0.2 D)0.533
Answers
Answer:
There is a 0.2 chance or 20% change that he will choose a nonfiction book. PLease mark as helpful if it is! thanks
Which 2 subjects are 2 unit apart
Answers
Answer:
I believe that your answer is C and Moon.
Set up a system of linear equations, and then solve for the indicated quantities.
Three times the smaller of two numbers plus three times the larger number is – 15.
Six times the smaller number minus three times the larger number is – 21.
Find the numbers.
Let x represent the smaller number. Let y represent the larger number.
Answers
9514 1404 393
Answer:
smaller: -4larger: -1Step-by-step explanation:
Substituting the given variables into the word problem, we have two equations:
3x +3y = -15
6x -3y = -21
Adding these equations eliminates y:
9x = -36
x = -4 . . . . divide by 9
Using this in the first equation, we have ...
3(-4) +3y = -15
-4 +y = -5 . . . . . divide by 3
y = -1 . . . . . . . . . add 4
The smaller number is -4; the larger is -1.
Please help!!!- Find the measure of the angle in bold.
Need help to figure out to solve this.
Answers
Answer:
11x-6+(19x+6)=180°
11x+19x-6+6=180°
30x=180
x=180/30
x=6
it means that
19x+6=19*6+6=114+6=120°
Write the ratio in fractional notation in lowest terms.
5 megabytes to 22 megabytes
The ratio is (Type the ratio as a simplified fraction.)
Answers
Answer:
99999k
Step-by-step explanation:
kjjuhhhhhhhhhuurdghsex
An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this experiment is a:
Answers
Answer:
the speed value that the radar equipment outputs.
Step-by-step explanation:
A random variable in an experiment is also (and most times the case) called a dependent variable. In this scenario, the random variable would be the speed value that the radar equipment outputs. This is because this value depends on the actual velocity of the cars that pass by the equipment. The faster the car is moving when it passes the radar the higher value will be displayed on the equipment. Therefore, depending completely on the vehicles.
Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m
Answers
Answer:
8 x m = 45
Step-by-step explanation:
cassie has 9 times which means multiplcation so its the first one
Line M passes through the points (-5, 9) and (-1, 9) which is true of line M?
A: line M is a vertical line with an undefined slop
B: line M is a vertical line with a slope of zero
C: Line M is a horizontal line with an undefined slope
D: Line M is a horizontal line with a slope of zero
Answers
Answer:
D: Line M is a horizontal like with a slope of zero
Step-by-step explanation:
A vertical line would have the same x-value for coordinates but different y-values. It would also have an undefined slope.
Therefore, we can rule out A and B.
A horizontal line always has different x-values but the same y-value. It would also have a slope of zero.
Therefore, C is wrong and D is our answer.
Let's first find the slope of the line.
We can do this using the slope formula.
m = y₂ - y1 / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have 9 - 9 / -1 - (-5).
So we have 0 / 4 which is 0.
So the slope of our line is zero.
We can eliminate any choices that say the slope is undefined.
Now, if we have a slope of zero, the line is flat or horizontal.
So we know line M has to be a horizontal or flat line with a slope of zero.
So our answer is D.
the product of -4 and a number is 36 find the number?
Answers
Answer:
32
Step-by-step explanation:
if you add 4- + 36 it's exactly the same as saying 4 - 36 = 32
pls mark brainlest for real :,,(