Multiplying and dividing radical expressions and leaving them in factored form. I am trying to find the best and easy way to get the factored form correctly. This is my problem: 3x+8 over 36-2x / 27x^2+72x over 3x^2-27.
Answer:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]
Required
Solve
Change / to *
[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]
Factor out 3
[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]
Factorize:
[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]
Cancel out 3x + 8
[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]
Factorize:
[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]
Combine
[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]
[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]
Express the numerator as a difference of two squares
[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Hence:
[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]
Given f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)
Answer:
a. f(-12) = 10
b. f(0) = 1
c. f(4) = -2
Step-by-step explanation:
In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:
a. f(-12) = 1 - 3/4(-12)
- f(-12) = 1 - (-36/4)
- f(-12) = 1 + 9
- f(-12) = 10
b. f(0) = 1 - 3/4(0)
- f(0) = 1 - 0
- f(0) = 1
c. f(4) = 1 - 3/4(4)
- f(4) = 1 - 12/4
- f(4) = 1 - 3
- f4) = -2
They are 267 kids and 21 adults going on a field trip an equal number of people ride on each bus if there are 9 buses how many people will ride on each bus write and solve equations
32 people on each bus.
30 kids and 2 adults on each bus
2. Is the triangle below a right triangle? Justify your answer.
39
31
35
Answer:
No
Step-by-step explanation:
39 + 31 + 35 = 105
Yes the triangle below is a right triangle. The triangle is a right triangle because of the 90 degree angle.
Hellohello, if you able to help me then please do. (:
Answer:
Step-by-step explanation:
it will always be true as long as it is adittion the r is the unknown number just add 15 plus what equals 25
Find the first 4 terms and the 10th term of 2n-1
Answer:
1) 1 2) 3 3) 5 4)7
Step-by-step explanation:
In the question it gives you the formula 2n-1
n= number or term for example 1
2x1-1=1
A. ASA Postulate
B. HL Theorem
C.AAS Theorem
D. SAS Postulate
Answer:
your answer will be B. HL Theorem
Step-by-step explanation:
hope it helps you...
I WILL MARK BRANLIEST FOR CORRECT ANSWER; 9th Grade Math Algebra 1
Which expression is the equivalent to 23 1/2?
Answer:
Step-by-step explanation:
Recall that the quantity 25^(1/2) with fractional exponent 1/2 can be rewritten in the equivalent √25. In other words, the exponential form
25^(1/2) has the same value (outcome) as does √25.
In general, b^(1/a) is equivalent to (index a root of b).
[tex]\sqrt{23}[/tex] is the equivalent expression of [tex]23^{\frac{1}{2} }[/tex]
What is Expression?An expression is combination of variables, numbers and operators.
Equivalent expression is the expression whose value will be same when we simplify.
The given expression is Twenty three power one by two.
[tex]23^{\frac{1}{2} }[/tex]
By the exponential property.
Root of twenty three is expression equivalent to twenty three power of one by two.
[tex]\sqrt{23}[/tex]
Hence, [tex]\sqrt{23}[/tex] is the equivalent expression of [tex]23^{\frac{1}{2} }[/tex]
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Help me? Giving brain
Answer:
40%
Step-by-step explanation:
10/25 = 0.4
0.4 into a percentage is 40%
Answer:
40%
Step-by-step explanation:
25/10 = 2/5 = .4 or 40%
f(x) = r - 5x + 10 . Evaluate f(-5).
Α. Ο
B. 10
C. 30
D. 50
E. 60
PLS HELP IM SO BAD AT MATH
Answer:
f(x) = r - 5x + 10
f(-5)=r-5×-5+10=r+25+10=r+35
sorry for all the screen wrinkles but what’s this
Answer:
cubic polynomial, monomial
Step-by-step explanation:
If a=3 and b=7 find the value of
2ab
Answer:
2ab-87=12 to the 100th times 2ab equals 79 the answer
Step-by-step explanation:
One pound of pasta noodles can be made using the ingredients shown in the recipe below. A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?
Answer:
Pounds of noodles made per week = 47 1/2 pounds
Step-by-step explanation:
One pound of pasta noodles can be made using the ingredients shown in the recipe below.
Recipe for Pasta Noodles
Ingredients
3 1/2 cups of flour
4 large eggs
2 teaspoons of olive oil
A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?
28 1/2
47 1/2
53 1/4
55 1/2
Pounds of noodles made per week = Total cups of flour used each week / flour used per pound
= 166 1/4 ÷ 3 1/2
= 665/4 ÷ 7/2
= 665/4 ÷ 2/7
= (665*2)/(4*7)
= 1330/28
= 47.5 pounds
Pounds of noodles made per week = 47 1/2 pounds
In a race, 27 out of the 50 bicyclists finished in less than 47 minutes. What percent of bicyclists
finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
27 x
50 X
100
=D1%
Answer:
finished the race in less than 47 minutes? Write an equivalent fraction to find the percent.
27 x
50 X
100
=D1%
Step-by-step explanation:
What is an equation of the line that passes through the points (-4,4) and (4,6)
Answer:
y=1/4x+5
Step-by-step explanation:
1/4x is your slope you get from graphing
Is the line y = 0.6x - 1
Answer:yes!
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
To prove check out this screenshot Mark my answer the brainliest to tell you the 4 math calculators :)
!!!NOT A QUESTION, I NEED ADVICE!!!
So I am a freshman student, and in like two weeks, I have PSAT testing. (I think that is the name) I have never taken the test before, and I am super nervous. I have good grades because it was easier being an online student this year, but if I fail the PSAT testing, could I get held back?! What would happen if I did bad on the test?! AAA I’M SCARED...HELP!! ;-;
Answer:
ight so PSAT means pre-SAT. it doesn't affect your grade. an it don't affect yo chances of getting into college. they wanna see where errybody at, you still wanna do yo best. its preparing you for the SAT i took the psat when i was in 8th grade an they want you to take that shi seriously. buh dont stress about it. they give you plenty of time. im in 10th. buh you finna do great you jus gotta trust in yoself
What should be added to
4x+5y to get 7x-2y.
Step-by-step explanation:
7x-2y-4x+5y(This is what you should do)
Rearrange the like terms:7x-4x-2y+5yFinal answer:-3x+3yPLEASE FOLLOW ME AND MARK AS BRAINILIEST IF YOU THINK IT'S WORTH IT :)plz help i need some one to check if this is right :(
Answer:
no the one above it
Step-by-step explanation:
because i have had it recently
Please help! Will give brainliest
Answer:
The answer is D
Step-by-step explanation:
Down 3 over 1
100 points! Look at the picture attached. Random answers and links will be reported
Answer and Step-by-step explanation:
4. We are finding line AC.
AB is congruent to BC because the angles at the top are both 30 because of angle bisector. BD is congruent to BD, so triangles are congruent by SAS theorem. That means AB is congruent to BC by CPCTC (Congruent Parts of Congruent Triangles are Congruent).
With that being said, we can equal the expressions together.
-x + 25 = 3(2x - 8)
-x + 25 = 6x - 24
49 = 7x
7 = x
-(7) + 25 = 18
3(2(7) - 8) = 3(14 - 8) = 3(6) = 18
18 + 18 = 36
AC = 36
6. We are finding measure of angle UTW.
We have another angle bisector, so that side is equal to itself (TV ≅ TV)
We have UV and VW having the same length, so those are congruent.
Since this is a right triangle, these triangles are congruent by the HL (Hypotenuse-Leg) Theorem.
So, now we can equal the angles together.
2x + 3 = 5x - 24
27 = 3x
9 = x
2(9) + 3 = 18 + 3 = 21
5(9) - 24 = 45 - 24 = 21
21 + 21 = 42
m∠UTW = 42
#teamtrees #PAW (Plant And Water)
(Sorry for the late response, this took some time).
Based on the z-statistic of –2.5 for the sample data, should the null hypothesis be rejected? Yes, because the z-statistic lies within the critical region. Yes, because the z-statistic lies outside of the critical region. No, because the z-statistic lies within the critical region. No, because the z-statistic lies outside of the critical region.
Answer:
No, because z-statistics lies within the critical region.
Step-by-step explanation:
The z value is calculated to determine whether the null hypothesis should be accepted or rejected. The null hypothesis is rejected when the z-value lies outside the critical region. The critical region is determined by the sample data.
Answer:
A) Yes, because the z-statistic lies within the critical region.
Step-by-step explanation:
Next one is B) The claim should be rejected.
Find the sale price to the nearest cent.
5. The sale price of a video game that has been
discounted 40% is $15.48. What was the original
price of the video game?
help me please ! in going to fail
Answer:
can't see the question properly
Answer:
I think the answer is A bc x is slope and y is y intercept
A parallelogram has sides 17.3 m and 43.4 m long. The height corresponding to the 17.3-m base is 8.7 m. Find the height, to the nearest tenth of a meter, corresponding to the 43.4-m base.
Answer:
3.5m
Step-by-step explanation:
A parallelogram has sides 17.3 m and 43.4 m long.
The height corresponding to the 17.3-m base is 8.7 m.
The area of a parallelogram = base × height
= 8.7m × 17.3m
= 150.51m²
Both parallelograms have the same area
Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:
= 150.51m²/43.4m
= 3.4679723502m
Approximately = 3.5m
WILL MARK BRAINLIEST IF GOTTEN RIGHT! DONT ANSWER IF U DONT KNOW!
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
help with this question please
Choose the system of equations to solve the following: Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. Determine the total number of adult and student tickets.
Answer:
3 student tickets and 5 adult tickets
Step-by-step explanation:
Decrease 20g by 12.5%
Step-by-step explanation:
please follow me
hloooo
Answer:
17.5 g
Step-by-step explanation:
20 g is 100% then a decrease of 12.5% is
100% - 12.5% = 87.5% = [tex]\frac{87.5}{100}[/tex] = 0.875 , then
20g × 0.875 = 17.5 g