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.
Help me out please an thank you
Answer:
The angles that are supplementary to angle 7 includes angle 5 and angle 8.
Solve for y.
r = y + h
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.
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.
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
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please someone help me i really really need help it will mean alot thank you so much
50+50-25x0+2+2
Answer:
4
Step-by-step explanation:
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?
Solve the inequality -9x+5<=5
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
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
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 _______
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.
-65-(-14)
plz help, show how u got the anser
Answer:
-51
Step-by-step explanation:
-(-)= +
-65+14= -51
2(x + 5) = 3x + 13y – 4= 6 – 2y3(n + 2) = 9(6 – n)
4x6+ 9 = 21 3x8y = 1
Solve 4 ⋅ (−6).
A: −42
B: −24
C: 10
D: 24
Answer:
-24
Step-by-step explanation:
this is easy question
Which number is a cubed number, 28 or 27? Explain why.
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
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!
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
Answer:
The answer is 5 over 7
Step-by-step explanation:
Find the product.
-2 x ( x2 - 3)
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!!! :))
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?
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
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?
After you find the solution, how would you check to make sure your answer is correct?
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
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
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
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
Answer:
A
Step-by-step explanation:
You are right
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
I WILL AWARD BRAINLIEST FOR WHOEVER GIVES ME ANSWER AND WORKING OUT!!!
Answer:
8% higher Shows 39.42 Hence (39.42 × 0.08)- 3.15 = 36.27 Give brainlistLet 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
Answer:
Step-by-step explanation:
slope 2 y intercept -1