Answers
Answer:
a I think ooookkkkk
The solution of the equation x/(x-1) + 2/(x+2) = -6/(x²+x-2) represented by statement is option D. The equation has one true solution and one extraneous solution.
To find the solutions to the equation, we need to simplify and solve for x:
x/(x-1) + 2/(x+2) = -6/(x²+x-2)
Factor the denominators on both sides of the equation.
The denominator on the left side can be factored as follows:
x² + x - 2 = (x+2)(x-1)
Find the common denominator.
The common denominator for the left side is (x-1)(x+2).
Rewrite the fractions with the common denominator:
[(x+2) × x]/[(x-1)(x+2)] + [2 × (x-1)]/[(x-1)(x+2)] = -6/[(x+2)(x-1)]
Combine the fractions,
[x(x+2) + 2(x-1)] / [(x-1)(x+2)] = -6/[(x+2)(x-1)]
Eliminate the denominator:
Multiply both sides by (x+2)(x-1) to eliminate the denominators:
[x(x+2) + 2(x-1)] = -6
Expand and simplify the equation:
x² + 2x + 2x - 2 = -6
x² + 4x - 2 = -6
x² + 4x + 4 = 0
Solve for x using the quadratic formula:
x = (-b ± √(b²-4ac)) / 2a
Here, a = 1, b = 4, and c = 4.
x = (-4 ± √(4² - 4 × 1 × 4)) / 2× 1
x = (-4 ± √(16 - 16)) / 2
x = (-4 ± √0) / 2
x = (-4 ± 0) / 2
x = -4 / 2
x = -2
The equation has one true solution, x = -2 (repeated root).
Now, let's check this solution in the original equation:
x/(x-1) + 2/(x+2) = -6/(x²+x-2)
(-2)/((-2)-1) + 2/((-2)+2) = -6/((-2)²+(-2)-2)
(-2)/(-3) + 2/0 = -6/(4-2-2)
2/0 is undefined, and since we cannot divide by zero, we have an extraneous solution.
Therefore, the correct statement for the solution is option D. The equation has one true solution and one extraneous solution.
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Related Questions
f(x)=4x^2+2x-6.find the range of function f(x).
Answers
Answer:
[
−
25
4
,
∞
)
,
{
y
∣
∣
∣
y
≥
−
25
4
}
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU HURRY
Answers
Answer:
18
Step-by-step explanation:
9/4=2.25
2.25x8=18in
elementary math! please help! will mark brainlist
Answers
Answer:
1/100, 0.01, and shade one of the collums
Step-by-step explanation:
A. 0.1 or 10%
B. 0.01 or 1%
C. 0.0001 or 0.01%
D. 0.01 or 1%
Note: In textbooks like this, you should probably check the back of the book, they usually have detailed answers/rationales.
What's the area of this? PLS HELP
Answers
Answer:
446mm
Step-by-step explanation:
If we box off parts of the area, it makes it easier to solve. I personally broke it into tiny bits:
Upper left box: 16mm
Bigger box (excluding little box): 90mm
Big rectangle: 340mm
Now, add them all together.
Equals 446mm
Answer:
area: 446mm
Step-by-step explanation:
split up the shape into squares, find the area of those, add it all together to get the total area
Fishing Hook E is dropped 2.5 times its present depth. Where is Fishing Hook E
now?
Answers
Answer:2.5 times depper duh
Step-by-step explanation:
can someone solve this for me
Answers
Mulitply 4 by 20 and 12 then add the sum of those 2 then divide by the sum of 5-3
Answer:
64
Step-by-step explanation:
Help? Please? Maybe?
Answers
Answer:
13/2
Step-by-step explanation:
The solution is in the attached file
six claims are to be randomly selected from a group of thirteen different claims, which includes two workers compensation claims, four homeowners claims and seven auto claims.
calculate the probability that the six claims selected will include one workers compensation claim, two homeowners claims and three auto claims
Answers
Using the combination formula, it is found that there is a 0.2448 = 24.48% probability that the six claims selected will include one workers compensation claim, two homeowners claims and three auto claims.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the claims are chosen is not important, which means that the combination formula is used to find these numbers of outcomes.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The desired outcomes are:
One workers from a set of 2.Two homeowners from a set of 4.Three auto-claims from a set of 7.Thus:
[tex]D = C_{2,1}C_{4,2}C_{7,3} = \frac{2!}{1!1!} \times \frac{4!}{2!2!} \times \frac{7!}{4!3!} = 420[/tex]
For the total outcomes, six claims from a set of 13, thus:
[tex]T = C_{13,6} = \frac{13!}{6!7!} = 1716[/tex]
The probability is:
[tex]p = \frac{D}{T} = \frac{420}{1716} = 0.2448[/tex]
0.2448 = 24.48% probability that the six claims selected will include one workers compensation claim, two homeowners claims and three auto claims.
A similar problem is given at https://brainly.com/question/25112440
Kajal spoke on the phone from 4:50 pm until 6:19 pm. How long did kajal speak on the phone?
Answers
Answer:
89 minutes or 1 hour and 29 minutes
Step-by-step explanation:
How to solve 17.28 divided by(1.32 subtract0.24) multiply 0.6
Answers
Answer:
12.9 i think
Step-by-step explanation:
what is What is the image of (4,−1) after a reflection over the line y=x?
Answers
I HOPE IT WILL HELP YOU.
Thank you.
4. Solve for x and y
Answers
Answer:
Step-by-step explanation:
Intersecting lines make equal opposite angles
2x + y = 50 - y
2x = 50 - 2y
x = 25 - y
A straight line represents 180°
4x + 6y + 2x + y + 2x + 3y = 180
8x + 10y = 180
8(25 - y) + 10y = 180
200 - 8y + 10y = 180
2y = -20
y = -10
x = 25 - (-10)
x = 35
Write 0.25 as a fraction in simple form
Answers
Answer:
1/4
Step-by-step explanation:
hope it helped
· Draw a diagram of this statement. Then answer the questions that follow. Five eighths of the 160 seats were empty during the matinee. (a) How many seats were empty during the matinee? (b) How many seats were occupied during the matinee? CAN SOMEONE PLEASE HELP ME?
Answers
Answer:
Step-by-step explanation:
Empty
5/8 * 160 = 100
Full
There are two ways you can do this.
160 - 100 = 60 seats were full
or
160 * 3/8 = 60 seats were full.
Where did the 3/8 come from?
1 - 5/8 = 3/8
There are 3 roses in a vase of 11 flowers. The rest are daisies.
What is the ratio of all flowers in the vase to daisies?
What is the ratio of roses to daisies?
Answers
Answer:
ratio of all flowers in the vase to daisies,= 11:8
ratio of roses to daisies= 3:8
Step-by-step explanation:
the total number of flowers in the vase is 11
but there are 3 roses,
therefore the number of daisies is 11-3 which is 8
the infor on the rations can be directly derived from this figures.
Answer: the person above me is wrong, the answers are 8:11 and 8:3
Step-by-step explanation:
what is the nth term rule for the sequence -5, -7 -9 -11 -13
Answers
Answer:
an=-2n-3
Step-by-step explanation:
Please help me with this question! Please and Thank you❤️
Answers
Answer:
[tex] \frac{\pi}{4} = 45° \\ \\ \frac{\pi}{6} = 30°[/tex]
[tex]( \cos( \frac{\pi}{4} ) + \sin( \frac{\pi}{6} ) ) ^{2} \\ \\ \\ {( \cos(45°) + \sin(30°) ) }^{2} \\ \\ \\ ( \frac{1}{ \sqrt{2} } + \frac{1}{2} ) ^{2} \\ \\ \\ (( \frac{1}{ \sqrt{2}} \times \frac{ \sqrt{2} }{ \sqrt{2}} ) + \frac{1}{2} )^{2} \\ \\ ( \frac{ \sqrt{2} }{2} + \frac{1}{2} )^{2} \\ \\ {( \frac{ \sqrt{2} + 1}{2} })^{2} \\ \\ \frac{( \sqrt{2} + 1)( \sqrt{2} + 1)}{ {2}^{2} } \\ \\ \\ \frac{2 + \sqrt{2} + \sqrt{2} + 1}{4} \\ \\ \\ = \frac{3 + 2 \sqrt{2} }{4} \\ \\ \\ = \frac{3 + 2(1.414)}{4} \\ \\ = \frac{3 + 2.828}{4} \\ \\ = \frac{5.828}{4} \\ \\ = 1.457[/tex]
I hope I helped you^_^
What is the length of segment BC?
14
100
196
10
Answers
8*8=64
6*6=36
64+36=100
100 squared is 10
Answer:
196 / 10
Step-by-step explanation:
Not sure but hope it helps
الصورة المختصرة للعبارة اللوغاريتمية log2 x − log2 y − 3 log2 z
Answers
Answer:
Step-by-step explanation:
can someone please help how did i get this wrong . the question says wich of the following could be used to estimate quotient 3458 divide 6 . I put 3400÷6=567 it was marked wrong
Answers
Answer:
3500÷6= 583
Step-by-step explanation:
It is 3500, because 5, the tens can give 4, the hundred
is 4/5 an integer, rational number, or whole number
Answers
Answer:
rational #
Step-by-step explanation:
Write a compound inequality that represents the following phrase. Graph the solutions. all real numbers that are between -6 and 7, inclusive
Answers
Answer:
-6 ≤ x ≤ 7
Step-by-step explanation:
"Inclusive" here means that the endpoints -6 and 7 are part of the solution set. This set includes all numbers between -6 and 7:
[-6, 7] or -6 ≤ x ≤ 7
Please help! Brainliest to correct
Answers
Answer:
Step-by-step explanation:
x +3 I x⁴ + 0x³ - 6x² + 0x -28 I x³ - 3x² + 3x - 9
x⁴ + 3x³
- -
-3x³ - 6x²
-3x³ - 9x²
+ +
3x² + 0x
3x² + 9x
- -
-9x -28
-9x - 27
+ +
-1
P(x) =(x +3)* (x³ - 3x² + 3x - 9) + (-1)
If X = 3 units, Y = 3 units, and Z = 4 units, then what is the surface area of the right triangular pyramid shown above?
Answers
what is the value of x?
Answers
Elena is planning to go camping for the weekend and has already spent $40 on supplies. She goes to the store and buys more supplies.
Which inequality represents d, the total amount in dollars that Elena spends on supplies?
Answers
Answer:
I think it d≥40
Step-by-step explanation:
Probally is d≥40
The inequality equation of the total amount in dollars that Elena spends on supplies is d ≥ 40.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
Elena is planning to go camping for the weekend and has already spent $40 on supplies. She goes to the store and buys more supplies.
Let d be the total amount. Then we have
d ≥ 40
More about the inequality link is given below.
https://brainly.com/question/19491153
What steps transform the graph of y=x to y=-(x+2) +4
Answers
y = x^2 to Green
y = –2(x – 2)^2 + 2 Blue
A salesman earns 60% commission on all the merchandise that he sells. Last month he sold $800 worth of merchandise. How much commission (in dollars) did
he earn last month?
Answers
Answer:
Step-by-step explanation:
✓ Step-by-step explanation:commission earned = 60% of $800800 × 60/100 = $480
The Commission (in dollars) he earn last month is $480.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A salesman earns 60% commission on all the merchandise that he sells. Last month he sold $800 worth of merchandise.
So, the Commission he earns
= 800 + 800 x 60%
= 800 + 800 x 60/100
= 800 + 480
= 1280
Hence, the commission is $480.
Learn more about Unitary Method here:
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PLS HELP I WILL MARK YOU THE BRAINLIEST!!!
1.) 0.3v = 1.35
2.) 2.5c = 15.75
3.) -64.5g = -25.8
4.) -3.2a = -55.68
Answers
Answer:
1) [tex]v=4.5[/tex]
2)[tex]c=6.3[/tex]
3)[tex]g=0.4[/tex]
4)[tex]a=17.4[/tex]
For those who have images blocked:
1) v = 4.5
2) c = 6.3
3) g = 0.4
4) a = 17.4
Name the ordered pair that is 5 units to the right and 2 units down from (-3,4).
Answers
Answer:
Answer is: (2,2)
Step-by-step explanation:
Answer:
(2, 2)
Step-by-step explanation:
Moving right and left is the x-axis. Moving up and down is the y-axis. Moving right would be positive and moving left would be negative. Moving down would be negative and moving up is positive. In general, look at or visualize a coordinate plane.