Answers
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
How to determine the value of x?The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
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Related Questions
PLEASE FULL EXPLANATION!!!
Angle Terminology with Equations
Delta Math:
Answers
Answer:
m∠A = 19°
vertical angles are of same measure.
⇒ so given m∠A = m∠B
Find x
3(x) + 13 = 5(x) + 93(x) - 5(x) = 9 - 13-2(x) = -4x = 2Then find m∠A
3(x) + 13°3(2) + 13°6° + 13°19°Answer:
19°That's your answer
Step-by-step explanation:
So In this problem We are told both angles are vertical. That is enough information. When 2 Angles are vertical they measure the same. Vertical angles have SAME measure.
Now we are given 2 angles.
Angle A and Angle B
Angle A= (3x+13) degrees
Angle B=(5x+9) degrees
Knowing that and that they measure the same just put them equal to each other……
3x+13=5x+9
Given the equation just solve…..
Lets subtract 9 from 13
Then Subtract 3x
Then Divide by 4
3x+13=5x+9
3x+4=5x
4=2x
x=4/2 =2
x= 2
We now Know X is equal to ½ but we still need to figure out the measure of angle A
Angle A= 3x+13
So just plug in
3(2) +13= 19° :)
SonicIsCoool on you tube scratch and much more....
if you need any help i'm at your service.... :)
What is the value of x in the equation 2.5(6x - 4) = 10 + 4(1.5 + 0.5 x)?
Answers
Answer:
x=2
Step-by-step explanation:
You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2
Answer:
x=2
Step-by-step explanation:
Distribute the 2.5 and 4 out
15x - 10 = 10 + 6 +2x
Add the constant variables together
15x - 10 = 16 +2x
Move the x on one side and the constant on the other
13x = 26
Divide both sides to find x
x=2
32° x x
Please help
Answers
180°-32°=2x (angles in a triangle always sum up to 180)
2x= 148°
x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)
The mass of the sun is 2 × 1030 kg, and the distance between neptune and the sun is 30 au. what is the orbital period of neptune in earth years? 30 earth years 164 earth years 3.8 × 1011 earth years 2.3 × 1017 earth years
Answers
The Neptune's time period of orbit is 164.3 earth years.
We have given that the mass of the sun is 2 × 1030 kg.
The distance between neptune and the sun is 30 au
What is the mathematical expression of Kepler's law ?
[tex]T^2 = 4\pi ^2a^3/GM[/tex]
Where T is in earth years, a is astronomical units and
M = solar masses.
4π²/GM = 1,
Therefore we get
[tex]T^2 = a^3[/tex]
[tex]T = \sqrt(a^3)[/tex]
[tex]T = \sqrt(30^3)[/tex]
[tex]T = 164.3[/tex]
Therefore, the Neptune's time period of orbit is 164.3 earth years.
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Answer:
b. 164 earth years
Step-by-step explanation:
just took the quiz 2022
Solve each system of equations below. Write your solution in the form (x,y). Check your solution.
a) 3x - y = 14
x = 2y + 8
Answers
x = 2y+8
Step-by-step explanation:
3x-y = 14
3(2y+8)-y = 14
6y+24-y = 14
5y = 14-24
y = -10/5
y = -2
now,
x = 2y +8
x = 2(-2)+8
x = 4
Therefore, the value of x is 4 and y is -2.
2. A traffic study was conducted on a busy street. In 15-minute intervals from 6:30 a.m. to 8:00
a.m., the number of vehicles that passed a certain point in one minute was recorded in the table
below. Write an equation for the curve of best fit, then approximate the number of cars that passed
the point at 9:15 a.m.
Answers
The line of best fit of the traffic study is a line through a scatterplot of data points which shows the relationship between the points.
How to illustrate the equation?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
The least square methods is used by statisticians to arrive at the geometric equation for the line. A straight line will simply result from a simple regression of two or more independent variables.
A regression that has to do with multiple related variables lead to a curved line. The line of best fit is an important output of regression analysis.
A regression that has two independent variables will have a formula with:
y = c + b1x1 + b2x2
where,
c = constant
b1 = first regression coefficient
x1 = first independent variable
b2 = second regression coefficient
x2 = second independent variable.
In conclusion, the line of best fit expresses the relationship in a scatterplot of the data points.
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A map has a scale of 1 cm to 4km.
The road from Carton to Ambridge measures 5.8cm on the map.
How far is it from Carton to Ambridge in Kilometers?
Answers
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP AND EXPLAIN!
The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices
(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft
(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft
(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft
(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft
Answers
Answer:
(D) Dimensions: width = 12ft & length = 20ft / Perimeter: 64ftStep-by-step explanation:
Let the length be x and width be y.
We have:
x = y + 8Area = 240 ft²Set equation and solve
xy = 240y(y + 8) = 240y² + 8y = 240y² + 8y + 16 = 256(y + 4)² = 16²y + 4 = 16y = 12 ftThe length is:
x = 12 + 8 = 20 ftThe perimeter is:
P = 2(x + y) = 2(20 + 12) = 2(32) = 64 ftCorrect choice is D
Let they be l and b
l=b+8l-b=8--(1)And
lb=240So
(l+b)^2=(l-b)^2+4b=(8)^2+4(240)=64+960=1024l+b=32--(2)From both equations
2l=40l=20And.
b=20-8=12ft
Option D
URGENT HELP PLEASE!
find the surface area and volume of the following possible cereal boxes determine the cost of making the box assuming the cardboard costs 5 cents per square inch
box 1 rectangle: 12 inch in height 7.5 inches wide 2 inches thick
Box 2 picture attached please give accurate answer thanks!
Answers
Answer:
One square inch is equal to . So, your box have square inches and it costs or $36 to manufacture it.
Step-by-step explanation:
The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.
Answers
40 x 2 = 80.
In the third week, 40 x 2^2 = 160
So, In the eight week it is 40 x 2^7 = 5120.
find the equation of a line passing through (3,2) and (5,6)
Answers
Answer:
y=1/-2x+2.5
Step-by-step explanation:
Y=Mx+c
Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2
C(y-intercept)= replace one of of the points here to find C
2=1/-2(3)+c, c= 2.5
Final answer > y=1/-2x+2.5
Share OMR 120 in the ratio 1.5 : 0.5
Answers
Answer:
90:30 is the answer
only if we use over 2
I'm as stuck as stepsis in the dryer.
Answers
The area equation for the given rhombus is:
A = (x^2 + 2x - 8) m^2
So the correct option is the second one.
How to get the area of the rhombus?
For a rhombus of diagonals d₁ and d₂, the area is given by:
A = (d₁*d₂)/2
In this case, we have:
d₁ = (2x + 8)m
d₂ = (x - 2)m
Then the area equation is:
A = (1/2)*(2x + 8)*(x - 2) m^2
A = (x + 4)*(x - 2) m^2
A = (x^2 - 2x + 4x - 8) m^2
A = (x^2 + 2x - 8) m^2
So the correct option is the second one.
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Two mechanics worked on a car. The first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2100. What was the rate charged per hour by each mechanic if the sum of 2 rates was $190 per hour?
Answers
Answer: 115/hr & $75/hr
Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.
Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?
Answers
Answer:
a 40 sheets/min
b 2400 sheets
c25mins
Step-by-step explanation:
a
120/3=40 sheets /min
b
40*60=2400
c
1000/40=25
Answer:
1) 40 sheets/minute 2) 2400 3) 25 minutes
Step-by-step explanation:
In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in june for pensacola as a function of time (t). f(t) = 12 cospi over 2t 5 f(t) = 5 cospi over 2t 12 f(t) = 5 cospi over 6t 7 f(t) = 7 cospi over 6t 12
Answers
An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.
Which equation of cos show period amplitude ?
The equation given below show aplitude and period
[tex]y = A cos bx + c[/tex]
where A = amplitude,
b = 2 pi/Period,
Period = 12 hrs,
c = midline,
x = t and y = f(t)
We have to find the amplitude
What is the formula for the amplitude?
[tex]A = 1/2 (Xmax - Xmin)[/tex]
[tex]12 - 2 / 2 = 10/2 = 5[/tex]
[tex]b = 2 pi / 12 = pi/6[/tex]
[tex]c = 1/2 (Xmax + Xmin)[/tex]
[tex]12+2/2 = 7[/tex]
Therefore, the an equation for water level in june for pensacola as a function of time (t)
[tex]f(t) = 5 cos pi/6 t + 7[/tex]
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Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.
Answers
Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.
What is the function for the ball's height?The height when x feet are traveled is given by:
h(x) = -0.5x² + 6x + 4.
When the height is of 20 meters, we have that h(x) = 20, hence:
20 = -0.5x² + 6x + 4.
0.5x² - 6x + 16 = 0
x² - 12x + 32 = 0
(x - 8)(x - 4) = 0
For the first time: x - 4 = 0 -> x = 4.
The snowball traveled 4 feet when the height is 20 feet.
More can be learned about functions at https://brainly.com/question/25537936
a triangular sail with a height of 6 feet has a base that is 9 feet long what is the area of the sail
Answers
Answer:
54 I think
Step-by-step explanation:
you multiply the width times the length and that’s the area
hope this helps!
Help pls need done now :)
Answers
g(x) = x^2 + 6
[tex]\bold{EXPLANATIONS:}[/tex]
Answer:
g(x) = x^2 + 6
Step-by-step explanation:
We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).
g(x) = (x - h)^2 +k
It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.
g(x) = (x-0)^2 + 6
g(x) = x^2 + 6
Need Help!
Sarah's bill for a meal at a Sonic is $8.99 before tax. If the tax rate is 6.2%, what is the total cost of her meal?
$9.06
$9.55
$9.60
$9.61
Answers
Answer: $9.55.
Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%. So 6.2% of $8.99 is 0.55738. We have to add 0.55738 with 8.99 to find the total cost of her meal:
8.99 + 0.55738 = 9.54738, or $9.55.
Therefore, Sarah's bill has a total of $9.55 with the tax.
Hope this helps! :)
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS THANKS
Answers
Answer:
1/6
Step-by-step explanation:
Hope it helps you in your learning process
Answer:
the second one
Step-by-step explanation:
1/6
brainliest pls
Find the measure of angle A.
(BRAINLIEST :D)
Answers
Answer:
180 - 90 - 60
Step-by-step explanation:
all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30
Answer:
30
Step-by-step explanation:
A triangle always = 180 degrees :)
So first we can add :D
60 + 90 + a = 180
150 + a = 180
Now we subtract :)
180 - 150 = 30
The answer is 30!
Have an amazing day!!
Please rate and mark brainliest!!
There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?
Answers
Answer:
18
Step-by-step explanation:
no. of boys=2x
no.of girls=x
total no. of pupils=2x+x
27=3x
27/3=x
x=no.of girls=9
no.of boys =2x=2*9=18
Answer: 18 Boys
Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice
math please help !!!
Answers
Answer:
a = -2
Step-by-step explanation:
Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1
2a+5 = 1
2a = 1 - 5
a = -4/2
a = -2
hi, i am struggling to find this algebra 2 answer can anyone help? i am desperate and ill give you whatever u want
Answers
and x=4, x=-5,x=2
Wyatt walks
3
miles each day for
6
days.
Aaliyah walks
4
1
2
miles each day for
6
days.
How many more miles will Aaliyah walk in
6
days than Wyatt?
Answers
Step-by-step explanation:
The distances walked are as follows:
Wyatt: (3 mi/day)(6 days) = 18 mi
Aaliyah: (4.5 mi/day)(6 days) = 27 miles Aaliya walks 9 miles farther than Wyatt in 6 days.
How to do the sum
25 cm 25 mm = --------------------m
pls give the ans with explanation
Answers
Answer:
Step-by-step explanation:
100 cm = 1 m
25 cm = 25 ÷ 100 = 0.25 m
1000mm = 1m
25 mm = 25 ÷ 1000 = 0.025
0.250 +
0.025
0.275
25 cm 25 mm = 0.275 m
25cm = .25m 25mm = .025m
.275m
What is the domain and range?
Answers
Answer: domain: [-6,6] range: [-4,3]
Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value
If 15% of sum is Rs 45, find the sum.
Answers
answer : the sum so obtained is rupees 300
Please answer everything that at asks in the image above. this is very important and I need help.
Answers
Answer:
Step-by-step explanation:
