Which of the following is the quotient of the rational expressions shown below? Make sure your answer is in reduced form.
Answers
Answer:
The answer is B.
Step-by-step explanation:
First, you have to convert division into multiplication and cross out the common term :
[tex] \frac{3x - 6}{ {x}^{3} } \div \frac{x - 2}{2x - 1} [/tex]
[tex] \frac{3(x - 2)}{ {x}^{3} } \times \frac{2x - 1}{x - 2} [/tex]
[tex] \frac{3}{ {x}^{3} } \times (2x - 1)[/tex]
[tex] \frac{3(2x - 1)}{ {x}^{3} } [/tex]
[tex] \frac{6x - 3}{ {x}^{3} } [/tex]
The quotient of the rational expressions is [tex]\frac{6x - 3}{x^2}[/tex]
calculation:[tex]= \frac{3x - 6}{x^3}\div \frac{x-2}{2x - 1} \\\\= \frac{3(x - 2)}{x^3} \times \frac{2x-1}{x-2}\\\\ = \frac{3}{x^3} \times (2x - 1)\\\\= \frac{3(2x - 1)}{x^2}\\\\ = \frac{6x - 3}{x^2}[/tex]
Find out more information about the equation here:
https://brainly.com/question/2263981?referrer=searchResults
Related Questions
To make honey butter, Kaseem needs 4 oz of butter for every 6 oz of honey. To make garlic butter, he needs 5 oz of butter for every 7 oz of garlic. Kaseem has 180 oz of butter. Can he make more honey butter or garlic butter? Show your work.
Please help
Answers
Answer:
Honey butter
Step-by-step explanation:
180 divided by 4=45
180 divided by 5=36
Solve 4x + x + 4 = 8x -3x + 4. Does this equation have one solution, no solution or infinitely many solutions? If one solution, write the solution. Explain.
Answers
Answer:
4=4, in infinitely many solutions
Step-by-step explanation:
hope this helps
Solve the inequality for y.
7y-24<-2(3-8y)
Answers
Use the difference of two squares to find each product.
22 * 28
Answers
Answer:
616
Step-by-step explanation:
22 * 28 = (25 - 3)(25 + 3) = 25^2 - 3^2 = 625 - 9 = 616
Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
a) |w| = 9.4; θ = 72.9°
b) |w| = 9.4; θ = 107.1°
c) |w| = 14.2; θ = 72.9°
d) |w| = 14.2; θ = 107.1°
Answers
Answer:
D
Step-by-step explanation:
Here, the direction angle is 107.1° and the magnitude is 14.2. Therefore, option D is the correct answer.
Given that, |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°.
We need to find magnitude and direction angle of w.
We have, w = u + v, θ=45° and ϕ=150°.
[tex]u_{x}[/tex]=|u|cosθ=10cos45°=7.071
[tex]u_{y}[/tex]=|u|sinϕ=[tex]u_{y}[/tex]=|10sin45°=7.071
[tex]v_{x}[/tex]=|v|cosθ=13cos150°=-11.25833
[tex]v_{y}[/tex]=|v|sinϕ=[tex]v_{y}[/tex]=13sin150°=6.5
Using this information, we get
[tex]R_{x} =u_{x} +v_{x}[/tex]=7.071-11.25833=-4.18733
[tex]R_{y} =u_{y} +v_{y}[/tex]=7.071+6.5=13.571
Direction angle=[tex]tan^{-1}[/tex](Ry/Rx)
Direction angle=[tex]tan^{-1}[/tex](13.571/-4.18733)
=-72.8239 or 107.1476≈107.1
Now, [tex]|w|=\sqrt{(|u|cos \theta +|v|cos \phi )^{2}+(|u|sin \theta +|v|sin \phi )^{2}}[/tex]
=[tex]|w|=\sqrt{(10cos45\textdegree +13cos150\textdegree )^{2}+(10sin 45\textdegree+13sin150\textdegree)^{2}}=14.2026[/tex]
Here, the direction angle is 107.1° and the magnitude is 14.2. Therefore, option D is the correct answer.
To learn more about the magnitude and direction angle visit:
https://brainly.com/question/12977024.
#SPJ2
Please help! I’ll give brainliest!
Answers
Answer:
y=19.5
x=33.77
plzzz give me the brainliest❤❤
Step-by-step explanation:
y= half of 39 so y= 19.5
19.5²+x²=39²
so x=33.77
The mean age of 15 students in a class is 6 years. If the age of
their teacher is included, mean becomes 9 years. Which is the age of
the teacher?
Answers
Answer:
might be wrong but 54
Step-by-step explanation:
15 × 6 = 90
90 + 54 = 144
144 ÷ 16 = 9
hope this helps
Jemma gave 0.30 of her candy to her sister and 0.25 of her candy to her brother. How much of her candy to her brother. How much of her candy did she give away.
Answers
So, Jemma gave away 0.30 percent and also gave 0.25 away all we have to do is add these two percents and we have our answer!
0.30% + 0.25% =
0.30 plus 0.25 equals to 0.0055 so you get your answer 0.0055!
I NEED HELP ON #6 PLEASE!!
please show the work
Answers
Answer:
x=-4 y=4
(-4,4)
Step-by-step explanation:
does 12 tenors : 16 basses form a proportion
Answers
Answer:
Yes I’m pretty sure
Step-by-step explanation:
need help with this thanks
Answers
Answer:k i’ll help i just can’t see that far what does it say
Step-by-step explanation:
Answer:
there are 280 black sheep
"Writing Systems of Equations"
The sum of the digits of certain two-digit number is 9. Reversing its digits increase the number by 45. Find the number.
A) 36
B) 30
C) 27
D) 26
Answers
If the original number can be written as ab, where a is the digits in the tens place and b is in the ones place, then it can be expanded as
10a + b
where a and b are chosen from {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. The sum of the digits is 9, so
a + b = 9
Reversing the digits gives the number ba, or
10b + a
which is larger than ab by 45, so
10b + a = (10a + b) + 45
-9a + 9b = 45
a - b = -5
Solve for a and b :
(a + b) + (a - b) = 9 + (-5)
2a = 4
a = 2
Then
a + b = 9
2 + b = 9
b = 7
So the original number if (C) 27.
answer corecctly plss
7(2+5v0=2v+14
Answers
Answer:
v=0
Step-by-step explanation:
I think you mean 7(2+5v)=2v+14.
14+35v=2v+14 distribute
33v=0 Subtract 2v and 14
v=0 divide by 33 on both sides
Hope this helps plz mark brainliest if correct :D
Someone help please
Answers
Answer:
19.20937271 or 19
Step-by-step explanation:
15^2 + 12^2 = 369
[tex]\sqrt{369}[/tex] = 19.20937271
Answer:
19.2
Step-by-step explanation:
a^2+b^2=c^2
15^2+12^2=c^2
225+144=c^2
369=c^2
NEED ANSWER ASAP!!! WILL GIVE POINTS AND MARK AS BRAINLIEST!!
Answers
Which postulate or theorem proves that these two triangles are congruent?
HL Congruence Theorem
ASA Congruence Postulate
AAS Congruence Theorem
SAS Congruence Postulate
Answers
Answer:
AAS
Step-by-step explanation:
Discretionary expenses are___ and ___ be reduced to help save money. For example, a _____________ is a discretionary expense.
Answers
Answer:
Discretionary expenses are Optional and Can be reduced to help save money. For example, a Magazine Subscription is a discretionary expense.
Step-by-step explanation:
Fits the definition of a discretionary expense and the example matches too because it is Optional.
Suppose that Sin(θ)=5/13 and cos(θ)=-12/13. Find the value of tan(θ), cot (θ), CSC (θ), and sec (θ). Find the value of tan(2θ)
I know the values are tanθ=5/12, cscθ=13/5, secθ=13/-12 and cotθ=-12/5 but I don't know how to find tan(2θ)
Answers
Answer:
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).
Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).
Simplified, this becomes tan 2θ = -336/527.
Therefore, the answer is C. -336/527.
What number when multiplied by 113 has a product of 1
Answers
Answer:
3/4
Step-by-step explanation:
Answer:
1/13
Step-by-step explanation:
copied of that person
How do you write 23/25 as a percentage
Answers
Hope this helps (:
Answer:
92%
Step-by-step explanation:
a Percent is equal to 1/100
so we need to make the denominator 100
so you multiply both the denominator and numerator by 4
4*23=92
4*25=100
92/100
which is also 92%
Hope this helps!
plz answer within 1 hour will mark brainlest
please answer all three!
Answers
If ∆JKL is an equilateral triangle, JK = 13x + 5, KL = 17x – 19, and JL = 8x + 35, what is the value of x?
Answers
Answer:
x = 6
Step-by-step explanation:
Given that Δ JKL is equilateral then the 3 sides are congruent.
Equate any 2 sides and solve for x, that is
13x + 5 = 8x + 35 ( subtract 8x from both sides )
5x + 5 = 35 ( subtract 5 from both sides )
5x = 30 ( divide both sides by 5 )
x = 6
An equilateral triangle is a triangle where all three sides are equal.
The value of x is 6.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An equilateral triangle is a triangle where all three sides are equal.
∆JKL is an equilateral triangle.
JK = 13x + 5
KL = 17x – 19
JL = 8x + 35
Now,
JK = 13x + 5
KL = 17x – 19
JK = KL
13x + 5 = 17x - 19
5 + 19 = 17x - 13x
24 = 4x
x = 6
Thus,
The value of x is 6.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
find x please, geometry
Answers
The supplement of measure of 164 degree angle is 16 degrees.
The bigger triangle is a right triangle, meaning it has an angle of 90 degrees.
We can find the big angle on the top by adding both angles we know of together and subtract that from 180 degrees because all interior angles of a triangle add up to 180 degrees:
180 - (90 + 16) = 180 - 106 = 72 degrees
According to the picture, the angle appears to be bisected, meaning it has been divided into two congruent angles.
Take the 72 degree angle and divide it by 2 to get the measure of each angle. Each angle is 36 degrees.
Finally, add the measures of the 36 degree and 16 degree angle and subtract that from 180 degrees to get the measure of the unknown angle (the value of x).
180 - (36 + 16) = 180 - 52 = 128 degrees
x = 128 degrees
I think this is the answer.
Fill in the blanks below
Find the slope of the line passing through the points (-3,4) and (7,4),
Find the slope of the line pasáng through the points (-6, 2)and (-6, -7).
Answers
Answer:
1. 0/10
2. -9/0
Step-by-step explanation:
you want to do the second y- the first y / the second X-the first x
Name:
Date:
Linear Programming Word Problems
Target: I can solve word problems using Linear Programming.
Example 1: Yum's Bakery bakes two breads, A and B. One batch of A uses 5 pounds of oats and 3 pounds of flour
One batch of B uses 2 pounds of oats and 3 pounds of flour. The company has 180 pounds of oats and 135 pounds of
flour available. Yum's Bakery wants to maximize its profits from bread sales. One batch of A yields a profit of $40.
One batch of B yields a profit of $30. Find how many batches of each bread the bakery should bake and the maximum
profit
Oats
Flour
Bread A
5
3
Bread B
2
3
Total Available
180
135
p<= 180x + 135y
Answers
are potential roots of Evaluate the function for the given values to determine if the value is a root. p(-2) = p(2) = The value vis a root of p.). DONE
Answers
p(-2) = 0
p(2) = -16
The value -2 is a root of p(x).
Hope this helps!
Expand the following:
c) 4(2x +1)
Answers
Answer:
= 4(2x +1)
= 4× 2x + 4×1
= 8x +4
Answer:
4*(2*x+1)
Step-by-step explanation:
Simplified we would write it as,
8x + 4, but we want to expand, so we would write out each operation being performed.
what the value of x. −(3x − 7) = 43
Answers
Answer:
Step-by-step explanation:
-(3x-7)=43.
Distribute the negative properly
-3x+7=43
Then subtract 7 from both sides
-3x=36
Then divide by -3 to get your answer
x=-12
X= -18
hey need help fast!!!
Answers
Answer:
MN║OP
Step-by-step explanation:
From the picture attached,
MP and OP are the two lines and OT is a transversal intersecting these lines at R and S.
Angles on the same side of transversal OT measure the same as 45°
By the converse of corresponding angles theorem,
"If the corresponding angles formed by the transversal with the lines, are equal in measure, then the lines are parallel."
Therefore, MN║OP is the answer.
if 5 is subtracted from the square of a number ,the result is 4 , find the number.
Answers
Answer:
9 I think
Step-by-step explanation:
I added 5 plus 4 to get 9 but I'm really not sure but I hope i helped!
