This is algebra 2. Would like an answer ASAP. Thanks! Between the two chunks of numbers, thats a division sign, not an addition sign.

This Is Algebra 2. Would Like An Answer ASAP. Thanks! Between The Two Chunks Of Numbers, Thats A Division

Answers

Answer 1

Answer:

Simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex] is [tex]\mathbf{\frac{1}{(x+3)(x+4)} }[/tex]

Option A is correct answer.

Step-by-step explanation:

We need to find simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]

Solving the given expression:

[tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex]

First we find factors of [tex]x^2+x-6[/tex]

[tex]x^2+x-6 \\= x^2+3x-2x-6\\= x(x+3)-2(x+3)\\=(x-2)(x+3)[/tex]

So, factors of [tex]x^2+x-6[/tex] are [tex](x-2)(x+3)[/tex]

Now, fining the factors of [tex]x^2+5x+4[/tex]

[tex]x^2+5x+4\\=x^2+4x+x+4\\=x(x+4)+1(x+4)\\=(x+1)(x+4)[/tex]

So, factors of [tex]x^2+5x+4[/tex] are [tex](x+1)(x+4)\\[/tex]

Now the given expression will become:

[tex]\frac{x+1}{(x-2)(x+3)}\div \frac{(x+1)(x+4)}{x-2}[/tex]

Now, converting division sign into multiplication sign:

[tex]=\frac{x+1}{(x-2)(x+3)}\times \frac{x-2} {(x+1)(x+4)}\\Cancelling, \:common\:terms\\=\frac{1}{(x+3)(x+4)}[/tex]

So, simplified form of [tex]\frac{x+1}{x^2+x-6}\div \frac{x^2+5x+4}{x-2}[/tex] is [tex]\mathbf{\frac{1}{(x+3)(x+4)} }[/tex]

Option A is correct answer.


Related Questions

Help me out please an thank you

Answers

Answer:

The angles that are supplementary to angle 7 includes angle 5 and angle 8.

Solve for y.

r = y + h

Answers

What’s the whole question?

Answer:

y=r-h

Step-by-step explanation:

Switch side

y+h=r

Subtract h from both sides

y+h-h=r-h

Answer:

y=r-h

Halona walks 1.93 kilometers to a neighbor’s house in 23 minutes. Assuming she walks at a constant speed, write a proportion that represents how many kilometers,y, Halona can walk in x minutes. Then solve your proportion for y.

Answers

Answer:

proportion: 1.93/23 = y/x

solve for y: y = x(0.083913)

Step-by-step explanation:

The required relationship of the proportionality is y = 0.08 x.

Given that,
In 23 minutes, Halona travels 1.93 kilometers to a neighbor's home. assuming she moves at a steady pace.
How many kilometers, y, Halona can walk in x minutes, expressed as a proportion. After that, find y using your percentage.

What is proportionality?

The relationship between two or more sets of values—whether they are directly proportional or inversely proportional to one another—is referred to as proportionality.

Here,
according to the question,
y ∝ x
y = kx
Where k is the constant of the proportionality,
at x = 23, y = 1.93
1.93 = 23 k
k = 1.93/23
k = 0.08
Put k in the proportionality equation,
y = 0.08k

Thus, the required relationship of the proportionality is y = 0.08 x.

Learn more about proportionality here:

https://brainly.com/question/22620356

#SPJ2


please someone help me i really really need help it will mean alot thank you so much


50+50-25x0+2+2

Answers

Answer:

4

Step-by-step explanation:

The answer would be 4

The point A(-4,5) is reflected over the point (2,3) and its image is point B. What
ure the coordinates of point B?

Answers

the coordinates of point B are the approximation of 3,5

Solve the inequality -9x+5<=5

Answers

The answer is x≤0

Step 1: Subtract 5 from both sides.

9x+5−5≤5−5

9x≤0

Step 2: Divide both sides by 9.

9x/9 ≤ 0/9

x≤0

Describe why the expression 2^-4
is equivalent to the expression 1/2^4

Answers

Answer:

Because when a number is raised to negative indice, it automatically becomes a fraction of 1, with the number raised to the positive indice. If the original expression becomes the other..its still equivalent and equal to the same value-just changed to make solving more easier

Answer:

see expression

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]2^{-4}[/tex]

= [tex]\frac{1}{2^{4} }[/tex]

Thus

[tex]2^{-4}[/tex] and [tex]\frac{1}{2^{4} }[/tex] are equivalent expressions

Someone please help

Answers

Answer:

Step-by-step explanation: For question 33 you have : (3x+3)+(6x+6)+90........ =180(sum of angles in a triangle is 180).

Question 34: (x+78)+(x+70)+44=180.....(same reason)

Question 35: (x+51)+(x+61)+90=180.....(same reason)

Question 36:(x+71)+(x+41)+90=180....(same reason).

112 is 70% of _______

Answers

Answer:

160

Step-by-step explanation:

70% of 160=112.

A handy trick is to divide the number by the percentage.

Brainliest please I need those points.

160
112 is 70% of 160

-65-(-14)

plz help, show how u got the anser

Answers

Answer:

-51

Step-by-step explanation:

-(-)= +

-65+14= -51

-51 because -(-a)=a ~~~ -65+14 =-51

2(x + 5) = 3x + 13y – 4= 6 – 2y3(n + 2) = 9(6 – n)

Answers

42 I think I’m not really sure

4x6+ 9 = 21 3x8y = 1​

Answers

I believe is none of the above

Solve 4 ⋅ (−6).
A: −42
B: −24
C: 10
D: 24

Answers

Answer:

-24

Step-by-step explanation:

this is easy question



Which number is a cubed number, 28 or 27? Explain why.

Answers

Answer:

27 is a cubed number because 3 to the third power, or cubed, is 27. 3*3*3=27. 3*3=9.

9*3=27

Step-by-step explanation:

please help i will mark brainliest and I will rate 5 stars. i will also heart the answer

Answers

Answer:

8, 24

Step-by-step explanation:

Since a total of 56 fishing boats were sold, and there are 7 orange fishing boat blocks, we can divide to find how much each stands for.

56/7=8

Then, since the dealer sells 3 blocks of speed boats, we multiply 3 by 8

24 speedboats

I hope this helped! :)

What is the discontinuity of the function f(x)= x^2-4x-12/x+2. PLEASE ASAP WILL GIVE BRAINLIEST!

Answers

Hello!

[tex]\large\boxed{\text{Infinite discontinuity at x = 2}}[/tex]

[tex]f(x) = \frac{x^{2} - 4x - 12}{x - 2}[/tex]

Recall that in a rational function, the denominator contains the vertical asymptote (an infinite discontinuity).

If terms can be canceled from the denominator and the numerator, then the function contains a hole. We can check whether this function contains such by factoring:

[tex]f(x) = \frac{(x - 6)(x + 2)}{x - 2}[/tex]

There is no common factor, so the function only contains a discontinuity at its vertical asymptote.

Find the vertical asymptote by setting the denominator equal to 0:

x - 2 = 0

x = 2.

plssssssssss

i will mark u brain

Answers

Answer:

The answer is 5 over 7

Step-by-step explanation:

Find the product.

-2 x ( x2 - 3)

Answers

Answer:

-1 is the answer

Step-by-step explanation:

Answer:

-1 is the answer

Step-by-step explanation:

Hope this helps

pls answer!! ty 13 points!!! :))

Answers

Ella's Grade: 15

Minh's Grade: 16

Step-by-step explanation:

If each grade has 20 girls in the grade, then that implies effectively that the ratios would apply via fractions, which are 3:4 and 4:5. As such, take both Fractions and increase them both to 20: 15:20 and 16:20.

a box contains 2 red pens 4 yellow pens and 6 blue pens. what is the probability of selecting a yellow pen then without replacing it getting a blue pen?

Answers

Answer:

the probability is less than 4% because there are TWO more blue pens. there is a 6% chance of getting blue pen and 2% getting yellow.

Step-by-step explanation:

What is the line of a fraction called between the numerator and denominator

Answers

Answer:

A Vinculum or a fraction bar :)

Answer:

The line that separates the numerator and thevdenominator in a fraction. Also called A Vinculum in some countries

HELP ME PLS A Coast Guard boat is trying to reach a sailboat. Which are the coordinates of the location of the sailboat?

Answers

answer:
top right.
(6,-2)

After you find the solution, how would you check to make sure your answer is correct?

Answers

Answer:

Plug in your variables value.

Step-by-step explanation:

For your case, plug in -6 into the y slot

12(5+2y)= -(6-9y) +4y

12(5+2x-6)= -(6-9x-6)+4y see if that works!

Answer:

To check if the solution is right you substitute.

Step-by-step explanation:

So in this case you put y = - 6

So you substitute the y as - 6

12(5+2y) = - (6-9y)+4y

12(5+ (2 times - 6)) =(6-(9 times - 6)) + (4 times - 6)

12 times (5+-12) = (6- -6) + - 24

12 times - 7 = 12+-24

-84 = - 12

And that's how to check it basically.

The area of a triangle is 528cm2. The length of its base is 33cm. Calculate the perpendicular height of the triangle

Answers

A = bh/2
A = 33 x h / 2
528 = 33h / 2
33h = 1056
h = 32cm

The perpendicular height of the triangle is  32 cm.

A triangle is a figure that has three sides. The three sides are length, base and hypotenuse. The sum of angles in a triangle is 180 degrees.

The area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

In order to determine the height of the triangle, this formula would be used:

height = (2 x area) / base

(528 x 2) / 33

= 1056 / 33

= 32 cm

A similar question was answered here: https://brainly.com/question/11688494?referrer=searchResults

How do I do this?
Hurry I need help

Answers

Answer:

Step-by-step explanation:

C

D

B

A

We can describe 12x – 8 as an expression.
It can also be written as 4(3x - 2)
4 and 3x - 2 are both
of 12x - 8​

Answers

Answer:4 and 3x-2 are roots of 12x-8.

Step-by-step explanation: Expression contains no equality sign

SOMEONE PLEASE HELP ME... I NEED TO FIND THE AREA OF THIS POLYGON

Answers

Answer:

A

Step-by-step explanation:

You are right

Divide polygon into 3 shapes

5x7 = 35

11x11 = 121

6x5 = 30

35+30 + 121 = 186 units squared

Answer is A

Pedaler's peddlers is a bike store that is having there annual sale. Denise wants to buy a bike that originally cost $264. The bike model is on sale for 40% off. What price will Denise pay after the discount?


Plz hurry

Answers

105.6

Convert 40% to 0.4
Then multiply 0.4 by 264
0.4*264= 105.6

I WILL AWARD BRAINLIEST FOR WHOEVER GIVES ME ANSWER AND WORKING OUT!!!

Answers

Answer:

8% higher Shows 39.42 Hence (39.42 × 0.08)- 3.15 = 36.27 Give brainlist

Let the actual pressure = x

The reading is x + 8 % , so the reading is 108% of the actual.

Divide the reading by 108% for the actual

39.42/1.08 = x

X = 36.5 psi

The actual pressure is 36.5 psi

HELP ASAP I will mark brainliest you explain

Answers

Answer:

Step-by-step explanation:

slope 2 y intercept -1

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