Solve the rational equation:
1 1 1
x-2x+3 5
O A. X=-6.09, x= 5.09
B. There is no solution.
O C. x=-3.09, x= 2.09
D. X=-3, x= 2
Answers
………………. ……………
The solutions for the equation 23 - x² - 2x = 0 are:
x = 4
x = -6
Option A is the correct answer.
We have,
To solve the rational equation:
1/(x - 1) - 1/(x + 3) - 1/5 = 0
We need to find the common denominator and combine the fractions on the left-hand side.
The common denominator is (x - 1)(x + 3)(5).
Multiplying each term by the common denominator:
[(x + 3)(5) - (x - 1)(5) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
Simplifying:
[5(x + 3) - 5(x - 1) - (x - 1)(x + 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - (x² + 3x - x - 3)] / [(x - 1)(x + 3)(5)] = 0
[5x + 15 - 5x + 5 - x² - 3x + x + 3 ] / [(x - 1)(x + 3)(5)] = 0
Simplifying further:
[23 - x² - 2x ] / [(x - 1)(x + 3)(5)] = 0
Now, we set the numerator equal to zero since a fraction is zero if and only if its numerator is zero:
23 - x² - 2x = 0
To solve the quadratic equation 23 - x² - 2x = 0, we can rearrange it to the standard form:
x² + 2x - 23 = 0
Now, we can solve it using factoring, completing the square, or the quadratic formula. Let's solve it using the quadratic formula:
The quadratic formula states that for an equation in the form
ax² + bx + c = 0, the solutions for x are given by:
x = (-b ± √(b² - 4ac)) / (2a)
For our equation x² + 2x - 23 = 0, the coefficients are a = 1, b = 2, and
c = -23.
Substituting these values into the quadratic formula:
x = (-2 ± √(2² - 4(1)(-23))) / (2(1))
Simplifying:
x = (-2 ± √(4 + 92)) / 2
x = (-2 ± √96) / 2
x = (-2 ± 4√6) / 2
Simplifying further:
x = -1 ± 2√6
Therefore,
The solutions for the equation 23 - x² - 2x = 0 are:
x = -1 + 2√6 = 3.89 = 4
x = -1 - 2√6 = -5.89 = -6
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Answer:
B
Step-by-step explanation:
Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.
A bag contains 56 marbles: 7 red, green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
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8/56
Step-by-step explanation:
Add up all other marble colors then find the difference from the total.
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1/7
Step-by-step explanation:
there are 8 green marbles out of 56 so the probability would be 8/56 which simpliefies to 1/7 or 14.285714%
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A, -475ft
Step-by-step explanation:
Answer: -475 ft
Step-by-step explanation: -95 x 5= -475
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1109.1cm³
Step-by-step explanation:
V
=
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Answer:
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Step-by-step explanation:
the two lines on either sign of each number indicate absolute value, which is the numbers value from 0 (on a number line). You turn -12 and -3 into 12 and 3 and subtract as normal.
The absolute value of -12 is 12 and the absolute value of -3 is 3. So, |-12| - |-3| = 12 - 3 = 9
No random answers or links, please.
Answers
Answer:
1
Step-by-step explanation:
By question it's given that ,
=> h(x) = -x - 1
For finding h(-2) , substitute x = -2 .=> h(-2) = -(-2)-1
=> h(-2) = 2 - 1
=> h(-2) = 1
Hence the required answer is 1.Answer:
the ans is 1 hope ut may help u
Step-by-step explanation:
x=-2
x = -(-2) -1
x=2-1
x=+1
Help plz:)))I’ll mark u Brainliest
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Answer:
= 110 g AgCl
Step-by-step explanation:
NaCl + Ag(NO3) → AgCl + NaNO3
↓ ↑
mol → mol
NaCl AgCl
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52,58,62,68
Answers
Answer:
58
Step-by-step explanation:
42+4(6-2) =
42+4(4) =
42+16 = 58
Answer:
58
Step-by-step explanation:
well first you have to do order of operations so do the stuff in the parentheses first so it would be 42+4(4) then you do multiplication and would get 42+16 and once you add that together you get 58
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Answers
Answer: x = 3
Step-by-step explanation:
Subtract 1
2^x = 8
Take the log.
x·log(2) = log(8)
Divide by the coefficient of x.
x = log(8)/log(2) = log₂(8)
We know that 8 = 2³, so log₂(8) = 3.
x = 3
_____
If your equation is ...
2^(x+1) = 9
then
x + 1 = log(9)/log(2)
x = log(9)/log(2) -1 . . . . . . change of base formula can be used, but isn't helpful unless you have a calculator that computes log₂(9).
x ≈ 2.170
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What is Logarithm?The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm
The properties of Logarithm are :
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
2ˣ + 1 = 9 be equation (1)
On simplifying the equation , we get
Subtracting 1 on both sides of the equation , we get
2ˣ = 8
Now , taking logarithm on both sides of the equation , we get
log ( 2 )ˣ = log ( 8 )
From the laws of logarithm , we can simplify
x log ( 2 ) = log ( 8 )
And , on further simplification , we get
x log ( 2 ) = log ( 2 )³
So , x log ( 2 ) = 3 log ( 2 )
Divide by log ( 2 ) on both sides of the equation , we get
x = 3
Hence , the value of x = 3
To learn more about logarithm click :
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76.9°
Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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I found the answer button.
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Answers
Answer:
scale = 1 in: 5 ft
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
f(x) = 5*sin( (5/4)*x) + 2
Step-by-step explanation:
A general sine function can be written as:
f(x) = A*sin(w*x) + M
Where:
A is the amplitude
w is the frequency of the function
M is the midline
Here we know that we want to have:
An amplitude of 5. Then, A = 5
A midline of 2, then M = 2
And a period of (8/5)*pi
For now, we can write our function as:
f(x) = 5*sin(w*x) + 2
Now, we know that for a function of period T, is always true that:
f(x) = f(x + T)
here, the period is T = (8/5)*pi
knowing that sin(0) = sin(2*pi)
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sin(0) = sin(w*0) = sin(w*( 0 + (8/5)*pi)) = sin(2*pi)
Then the arguments of the third and fourt parts must be the same, thus:
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Step-by-step explanation:
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Step-by-step explanation:
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Similar Triangles
A triangle has two angles measuring 90° and 50°, calculate the third angle of the triangle.
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d. 75°
Please select the best answer from the choices provided
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Answer:
B. 40°
Step-by-step explanation:
I calculated it logically
What is the measure of angle x?
Enter your answer in the box.
Answers
Answer:
x = 48º
Step-by-step explanation:
x = 90 -42
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give your answer as a mixed number
will someone show me how
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Answers
Answer:
The value of given expression is 13 / 3
Step-by-step explanation:
Given expression in the form of improper fraction;
17/3 - [tex]1\frac{1}{3}[/tex]
Find;
The value of given expression
Computation:
⇒ 17/3 - [tex]1\frac{1}{3}[/tex]
Step 1 ;
Change mixed fraction into simple fraction
⇒ 17/3 - 4/3
Step 2 ;
By taking LCM of denominators;
⇒ [17 - 4] / 3
Step 3 ;
Subtract 17 from 3
⇒ [13] / 3
The value of given expression is 13 / 3
One pipe fills an empty tank in 3 hours. A second pipe fills the same tank in 6 hours. A third pipe can empty the full tank in 5 hours. If all three valves were left open, how long would it take to fill the empty tank?
Answers
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
Answers
Answer: f is Parralel to g
Step-by-step explanation:
Answer:
You gave us no choices
Step-by-step explanation:
h is not parallel f
A $146 tent was sold for 20% off. There was a sales tax of 4%. What was the discount
amount, sales tax and final cost of the tent?
Answers
The sales tax is $8.25
So the final cost of the tent is
146.00-35.00=$111.00
111+8.25= 119.25
Your answer is $119.25
the discount price was 29.2
step by step 146 minus 20% = 116.8 116.8 + 4% =121.472 the sales tax added 4.672$ to the total amount and the discount price removed 29.2 of the required pay