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
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
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
Jamal needs several feet of wood for a birdhouse
project. He already has 12 yards. How many feet are
in 12 yards?
Answer:
36
Step-by-step explanation:
multiple by the length value by 3
What is the shape of y=x3?
Answer:
cubic
Step-by-step explanation:
y = x³ is a cubic shape try graphing it
ILL GIVE BRAINLIEST
YOUR FRIEND JUST OPENED THEIR FIRST CREDIT CARD WHAT ADVICE WOULD YOU GIVE THEM BEFORE THEY START MAKING PURCHASES?
Answer:
I would tell them to buy a ps5 for me
Step-by-step explanation:
For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.
2. A movie theater charges $15 for adults and children and $10 for seniors. A
total of $1,270 was collected for movie ticket sales one night for a selected
movie. The total number of tickets sold for that movie was 93. How many
adult and senior tickets were sold?
b. Write the equations:
Answer:
A. Adult=68, seniors=25B. 10a + 10s=1270. a + s=93
Step-by-step explanation:
15a + 10s =1270 equation 1
a + s =93 equation 2
a=93-s. Isolate a for equation 2
15(93-s) + 10s =1270 substitute value of a in equation 2 (93-s) with value of a in equation 1
1395-15s+10s=1270
-5s=-125
S=25
solve for a
a + s =93
a + 25=93
a=68
‘check answer
15a + 10s=1270
15(68) + 10(25)=1270
1020+ 250=1270
A. 12/29
B. 3/5
C. 2/3
D. 20/29
Answer:
Where is the question? The Answer is 20/29
Step-by-step explanation:
Brainiest
what the the opposite of - 4.1 ?
Answer:
The opposite of -4.1 is 4.1.
opposites are the same number but either with a + sign or a - sign
EX)
7, -7
5, -5
4, -4
I need the answer pls fast
Answer:
B. 215cm^2
Step-by-step explanation:
180 + 35
Answer: B. 215
Step-by-step explanation:
I found the answer button.
The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.
Last year there were 750 students enrolled in Park School, but this year there are only 685 students enrolled. What is the percent of decrease? Round to the nearest tenth.
Answer:
91 (1/3)
Step-by-step explanation:
first do 750 / 100 becuase thats is 100%
the answer to 750 / 100 is 7.5 then take 7.5 what you do is 685 / 7.5 and you get the answer
Answer:
-8.6666666666667% decrease
Step-by-step explanation:
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 35% contain one defective component, and 15% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions?
a. Neither tested component is defective.
b. One of the two tested components is defective
Answer:
a) P (0 defective component) = 0.5
P( 1 defective component ) = 0.35
P( 2 defective component ) = 0.15
b) P( 0 ) = 0
p ( 1 ) = 1
p ( 2 ) = 0.33
Step-by-step explanation:
p( no defective ) = 0.5
p( 1 is defective ) = 0.35
p( 2 is defective ) = 0.15
Given that 2 components are selected at random
a) Given that neither component is defective
Probability of 0 defective component = 0.5
P( 1 defective component ) = 0.35
P( 2 defective component ) = 0.15
b) Given that one of the two tested component is defective
P( 0 defective ) = 0
P( 1 defective ) = P ( [tex]\frac{x=1}{x\geq 1}[/tex] ) = p( x = 1 ) / 1 - P ( x = 0 )
= ( 0.5 )^1 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^1
= 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 = 1
p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )
= ( 0.5 )^2 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^2
= 0.25 / 0.75 = 0.33
Agree or Disagree? plz help no link plz
Answer:
Agree
Step-by-step explanation:
Please help will give brainliest
Small
Large
Blue 17
Red
8
3
12
?
Find: P(Red and Small)
Remember to reduce your answer.
Answer:
3/10
Step-by-step explanation:
Remark
The denominator of the probability is the entire amount present. Just add
Denominator
Blue/Large 17
Red/Large 8
Small 3
Red Small 12
Total 40
Red / Small
P(red/small) = 12 / 40
P(red/Small) = 3 / 10
Plz help me well mark brainliest if you are correct!!....
Answer:
9
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.
A company has 200 employees. There are 150 female employees. There are 40 employees who are under the age of 30. The probability
of randomly selecting an employee who is female or is under the age of 30 is 85%.
What is the probability of randomly selecting an employee who is female and under the age of 30?
O A 10%
O B. 20%
O c. 85%
OD. 95%
Answer:
c. 85 % is the probability
Curts kite is 36 yards above the ground and directly above the tree. The length of the string from Curt to the kite is 49 yards. How far is Curt from the tree?
Answer:
about 33.24 yards
Step-by-step explanation:
a² + b² = c²
so, 36² + b² = 49²
1296 + b² = 2401
b² = 1105
Take the square root of both sides..
b = 33.24 yards
Help plz:)))I’ll mark u Brainliest
Answer:
= 110 g AgCl
Step-by-step explanation:
NaCl + Ag(NO3) → AgCl + NaNO3
↓ ↑
mol → mol
NaCl AgCl
[tex]\frac{45 g NaCl }{} \frac{1 mol NaCl}{57.44 g NaCl} \frac{1 mol AgCl}{1 mol NaCl } \frac{143.87 g AgCl}{1 mol AgCl} == 110 g AgCl[/tex]
No random answers or links, please.
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
Discount
Walmart offers a shirt initially at $100. Then one week later, Walmart offers the shirt at 15% off. The
shirt still doesn't sell, so after another week, Walmart reduces its new price by 20%. How much does the
shirt cost now?
Choose one. 5 points
$68.00
$65.00
$69.00
$60.00
Answer:
$65.00
Step-by-step explanation:
Cost price of shirt after giving discounts is equals to [tex]\$68[/tex].
What is Cost price?" Cost price is defined as the price to be paid at the time of purchase any product."
According to the question,
Initial cost price of shirt [tex]= \$100[/tex]
First discount [tex]= 15\%[/tex]
Discount amount [tex]= 15\%[/tex] of [tex]100[/tex]
[tex]= \frac{15}{100} \times 100\\\\= \$15[/tex]
Cost price after first discount [tex]= 100 - 15[/tex]
[tex]= \$85[/tex]
Second discount [tex]= 20\%[/tex]
Discount amount [tex]= 20\%[/tex] of [tex]85[/tex]
[tex]= \frac{20}{100} \times 85\\\\= \$17[/tex]
Cost price after first discount [tex]= 85 - 17[/tex]
[tex]= \$68[/tex]
Hence, cost price of shirt after giving discounts is equals to [tex]\$68[/tex].
Learn more about cost price here
https://brainly.com/question/11027396
#SPJ2
What is the volume of a cone with a radius of 8.7 inches and height of 14 inches? (Use 3.14
for N)
Answer:
1109.1cm³
Step-by-step explanation:
V
=
π
r
2
h
3
3.14 ×8.7² × 14/3
What is the correct answer I will mark brainlist
Answer:
3rd
Step-by-step explanation:
MARK AS BRAINLEST!!
Which BEST describes the system of equations graphed on a coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent
Answer:
D) Consistent and Independent
Answer:
D.consistent and independent
A model of a house uses a scale of 1 inch : 5 feet. The height of the model is 5 5/8
inches. What is the height of the actual house?
Answer:
scale = 1 in: 5 ft
= 1inch x 5 5/8 = 5.625
5 ft x 5 5/8 28.125 ft
The actual height of the house is 28.125 ft
Complete the square
to find the vertex
of this parabola.
2
x - 4y-12 x +68=0
Answer: (6,8)
Step-by-step explanation:
Answer:
(6, 8)
Step-by-step explanation:
a bit of help here! Ill give branliest! :)
Answer:
whats the question?
Step-by-step explanation:
Joey opened a bank account 5 years ago with $100.
Today he has $1,000 in the account.
What is the percentage of increase?
_____%
Lauren is making string bracelets with black and silver beads added in for decoration.
Black beads come in packages of 24, and silver beads come in packages of 36.
Each bracelet will have the same number of each color bead.
Lauren has one package of each bead color, and she will use all of the beads.
What is the greatest number of bracelets Lauren can make?
The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.
What is the greatest number of bracelets that can be made?In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.
Highest common factor is the highest factor that is common to two or more numbers
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors of 36 = 1, 2, 3, 4, 6, 12, 18, 36 Highest common factor = 12To learn more about highest common factor, please check: https://brainly.com/question/26073850
#SPJ2
When factored completely, the expression p4 - 81 is equivalent to ....
1. (p2+9)(p2-9)
2. (p2-9)(p2-9)
3. (p2+9)(p+3)(p-3)
4. (p+3)(p-3)(p+3)(p-3)
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
90 mm^2
Step-by-step explanation:
Divide it in 2 figures
Get the area of the one of 5 * 6 mm = 30mm^2
Then the one of 6 * 10 mm = 60 mm^2
Then just add it up. 90 mm^2
The base of a pyramid is a rectangle with a length of 3 centimeters and a width of 6 centimeters. If the height of the pyramid is 12 centimeters, what is the volume of the pyramid?
Answer:
Step-by-step explanation:
okay so if the centimeter is 3 you would multiply it by 6 cm and that
18 and then mulitiply that by 12 and your answer is
216
I need the answer pls, answer fast I am I s choool
Answer:
Hello! answer: D. 180
Step-by-step explanation:
What you do for these is find the surface area for each face separately then add them up so...
for the sides its 18 for the top and bottom it's 48 for the front and back it's 24 so now we add all 6 up so... 18 + 18 + 48 + 48 + 24 + 24 = 180 Hope that helps!
Answer:
180 in²
Step-by-step explanation:
To wrap the given box, we need to find the total surface area of the figure.
TSA of cuboid = 2 (lb + bh + hl)
= 2 { (6*8) + (8*3) + (3*6) }
= 2 ( 48 + 24 + 18 )
= 2 * 90
= 180 in²