Answer:
[tex]\displaystyle x = 0 \text{ and } x = 1[/tex]
Step-by-step explanation:
We are given and asked to solve the equation:
[tex]\displaystyle \frac{x}{x-2} + \frac{x-1}{x+1} = -1[/tex]
We can first remove the rational expressions by multiplying both sides of the equation by its LCM (in this case, by (x - 2)(x + 1)):
[tex]\displaystyle (x-2)(x+1) \left( \displaystyle \frac{x}{x-2} + \frac{x-1}{x+1}\right) = -1(x-2)(x+1)[/tex]
Simplify:
[tex]\displaystyle x(x+1)+(x-1)(x-2) = -(x-2)(x+1)[/tex]
Expand and isolate:
[tex]\displaystyle \begin{aligned} (x^2 + x) + (x^2 - 3x + 2) & = -(x^2 -x -2) \\ \\ 2x^2 - 2x + 2& = -x^2 + x + 2 \\ \\ 3x^2 - 3x & = 0 \end{aligned}[/tex]
Hence solve for x:
[tex]\displaystyle \begin{aligned} 3x(x - 1) & = 0 \\ \\ x & = 0\text{ or } x = 1\end{aligned}[/tex]
In conclusion, the solutions of the equation are x = 0 and x = 1.
PLEASE HELP WITH THE PICTURE BELOW NEED IT IMMEDIATELY!
50 POINTS!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's use slope - point form of line to get the required equation ~
[tex]\qquad \sf \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]
where,
m = slope of the line ( given in question )[tex] \sf{y_1 = 6} [/tex][tex] \sf{x_1 = 9} [/tex]Now, let's put in the values ~
[tex]\qquad \sf \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]
[tex]\qquad \sf \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]
[tex]\qquad \sf \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]
So, the correct choice is A
What Probability that any random music purchased in 2004 was not a Music video. If the total American music sells in 2004 for Cd was 80 and Digital single was 15 and music video was 3 and other was 2??????? ( When it says other it means random music)
Answer:
97%
Step-by-step explanation:
Idil wants to ride her bicycle 41.4 miles this week. She has already ridden 15 miles. If she rides for 4 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answer:
6.6
Step-by-step explanation:
41.4-15 = 26.4
26.4 divided by 4 equals 6.6
Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.
How find the average number of miles she would have to ride each day to meet her goal?To find the average number of miles Idil would have to ride each day to meet her goal, we can use the following formula:
Average miles per day = (Total miles - Miles already ridden) / Number of days remaining
Given information:
Total miles she wants to ride = 41.4 miles
Miles already ridden = 15 miles
Number of days remaining = 4 days
Now, let's calculate the average miles per day:
Average miles per day = (41.4 - 15) / 4
Average miles per day = 26.4 / 4
Average miles per day = 6.6
So, Idil would need to ride an average of 6.6 miles per day for the next 4 days to meet her goal of 41.4 miles for the week.
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Solve the formula V = b²h fo O A. b = VЗV - h О в. b - V D 3V Ось = √ву OD. b = √3Vh D for b.
Answer:
The answer is option C
Step-by-step explanation:
The solution is in the image
A customer in Arizona where sales tax is 5.6% orders a cheeze pleeze bites subscription that cost 5.40 every 2 months how much sales tax is collected in a year
Answer:
see the attachment.
the answer is $ 32. 40/ Year
HELP!!!! NO ABSURD ANSWERS IF YOU DON'T WANT TO GET YOURSELVES REPORTED!! NEED HELP AS SOON AS POSSIBLE!!!!
What is the circumference of a circle with a radius of 3 and a diameter of 14?
PLSSSSS
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the circumference of a circle with a radius of 3 and a diameter of 14?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Formula for Circumference of a circle:-[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]
First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).
Now, we substitute 6 (3•2) for d:-
[tex]\sf{C=\pi *6}[/tex] [π=3.14]
[tex]\bigstar[/tex]On simplification,
[tex]\sf{C=3.14\times6}[/tex]
[tex]\bigstar[/tex] Which results in
[tex]\sf{C=18.84\:cm}[/tex]
[tex]\rule{200}{2}[/tex]
Now, let's find the circumference of a circle whose diameter is 14:
[tex]\sf{C=\pi d}[/tex]
Substitute 14 for d:-
[tex]\sf{C=14\pi }[/tex] Next, substitute 3.14 for pi:-
[tex]\sf{C=14\times3.14}[/tex]
[tex]\bigstar[/tex] Which results in:-
[tex]\sf{C=43.96\:units}[/tex]
Good luck with your studies.[tex]\rule{290}{2}[/tex]
An airliner has 40 rows of seats. Each row has 2 seats on one side, 3 seats in the middle and 2 seats on the other side. How many seats are in the crows ? a) 280 b) 950 c) 400 d) 3,590
Answer:
280 seats
Step-by-step explanation:
40*7 = 280
Answer:
18
Step-by-step explanation:
Which is the rational number?
Answer:
F
Step-by-step explanation:
Evaluating the expression :
√8 × √2√1644 is clearly a rational number.
Hence, the right option is F.
100 points! plus brainlyist!
Answer:
x=2
Step-by-step explanation:
We must equate f(x)=g(x) ;
x+3=2x^2-3
2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:
x=2, x=-1.5
Since -1.5 is not seen in the table, we consider the value 2.
At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.
Answer:
x = 2
Step-by-step explanation:
Given:
f(x) = |x| + 3
g(x) = 2x² - 3
From inspection of the table, the equation f(x) = g(x) has a solution when
x = 2 as this is the only value of x when the two functions have the same value of 5.
See attached graph for proof. The points of intersection are the solutions: (-2, 5) and (2, 5). (Since x = -2 is not in the given table, this is not included in the answer to this question).
----------What is the measure,in degrees,of angle VSR?
Answer:
Angle VSR = 135 degrees.
Step-by-step explanation:
since it is a straight line at the top, those angles are going to add up to 180 degrees. The corners of a square is 90 degrees. And we know the other side is 45. 90 + 45 = 135 so 180 - 135 = 45 and that is the measure of the other angle. An easier way to do it would be that theres another square and the corners are still 90 degrees so you just do 90 - 45 and get 45 now you add the 45 to 90 and get 135 which is the answer.
ANSWER QUICK, FIRST ANSWER GETS BRAINLIEST! What is the interquartile range of this data set?
Enter your answer in the box.
Answer:
13
Step-by-step explanation:
13 will go inside this box
Answer:
13
Step-by-step explanation:
Finding Upper Quartile (Q₃)
31, 40, 41, 4940 + 41 / 2Q₃ = 40.5Finding Lower Quartile (Q₁)
20, 25, 30, 3025 + 30 / 2Q₁ = 27.5Interquartile Range = Q₃ - Q₁
40.5 - 27.513Find the magnitude of the sum of the vectors <4,5> and <-2,2>. Round your answer to the nearest 100th.
Answer:
[tex]||v||\approx7.28[/tex]
Step-by-step explanation:
Sum of the vectors
[tex]\langle4,5\rangle+\langle-2,2\rangle=\langle4+(-2),5+2\rangle=\langle2,7\rangle[/tex]
Magnitude of the resultant vector
[tex]||v||=\sqrt{x^2+y^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}\approx7.28[/tex]
Hey could you help me
Estimate
754÷12
Your answer is 62.8
Have a good day
A triangle has sides with lengths of 25 kilometers, 60 kilometers, and 61 kilometers. Is it a
right triangle?
yes
no
To which of the following situations can the function y=5x+10 best be applied?
A. The number of miles a person walks if he walks for 5 hours at the rate of 10 miles per hour
B. The total weight on a scale if 5 pounds is placed there initially and a series of 10-pound weights are added to it
C. The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips
D. The combined length of 5 boards, each 10 feet longer than the width of a doorway
The situation in which the linear function y = 5x + 10 can be applied is given by:
C. The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, we want a function with a slope of 5(rate of change), and an y-intercept of 10(initial quantity), hence option C is correct.
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what is equivalent to -3/2
Answer:
-6/4
Step-by-step explanation:
equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4
What fraction is equal to 0.4 (with a line over the four)
A. 44/9
B. 4/99
C. 4/9
D. 9/4
Answer:
4/9 = 0.4 with a line over the 4
Step-by-step explanation:
Answer:
C. 4/9
Step-by-step explanation:
On dividing 4/9 :
4/90.444....0.4 (bar on the 4)Option C gives the right answer.
Please answer fast i really need this so i can get good grades.
7.
Lines AE and BD are tangent to circles O and P at A, E, B, and D, as shown in the diagram below. If
AC: CE = 5:3, and BD = 56, determine and state the length of CD.
145
U.
Р
56
3
E
B
2
Answer: 21
Step-by-step explanation:
The measure of the tangent to the circle CD = 21
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle
Given data ,
Let the 2 tangents to the circle be AE and BD respectively
The measure of the line segment BD = 56
Now , the ratio of the line AE is
AC : AE = 5 : 3
The measure of AE = measure of CD
Let the value of AC = 5x
Let the value of AE = 3x
Now , the measure of AE = measure of BD
Substituting the values in the equation , we get
5x + 3x = 56 be equation (1)
On simplifying the equation , we get
8x = 56
Divide by 8 on both sides of the equation , we get
x = 7
Now , the measure of CD = 3x
Substituting the value of x in the equation , we get
CD = 3 ( 7 ) = 21
Therefore , the measure of CD = 21
Hence , the measure of CD = 21
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DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !
Answer:
the answer I believe will be 25.16
last option is the answer to the question
find the area to the nearest hundredth use 3.14 for π
Answer:
50.24
Step-by-step explanation:
you can use pi r^2
Michael glues pipe cleaners around the edges of a rectangular poster. he uses a total of 14 pipe cleaners with 5 pipe cleaners each on the longer sides of the poster. how many pipe cleaners does he use for each of the shorter sides of the poster?
The total pipe used for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
Michael glues pipe cleaners around the edges of a rectangular poster. He uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
Total pipe Michael uses = 14
He used a total of 5 pipe cleaners on each long side.
Total pipe cleaner on two long sides = 5×2 = 10
The pipe used on shorter side = 14 - 10 = 4
Total pipe for each of the shorter sides of the poster = 4/2 = 2 pipes
Thus, the total pipe for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
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Question 12 of 14
The perimeter of a rectangle is 32 inches. The length is 1 foot. What is the width of the rectangle in inches?
A.
4 inches
B.
10 inches
C.
15 inches
D.
20 inches
pls help in geometry
Answer:
58.5; 300; 196.5
Step-by-step explanation:
Area of triangle 1 = (1/2) * 9 * 13 = 58.5 inches^2
Area of whole figure = (1/2) * (14+26) * 15 = 300 inches ^2
Area of shaded region = 300 - 58.5 - [(1/2) * 6 * 15] = 241.5 - 45 = 196.5 inches^2
Andy has 36 CDs. He buys a case
that holds 4 CDs in each section.
How many sections can he fill?
Answer:
9 sections
Step-by-step explanation:
We can find the number of section by dividing the total number of CDs by the number of CDs that each case holds.
[tex]\sf \text{Number of CDs =$\dfrac{36}{4}$}[/tex]
= 9
a piece of string measures 2 16/20 meters which of the following is equivalent to the length of the string in meters
The equivalent to the length of the string in meters is 14 / 5 meters
How to find the equivalent length of a string?The length of the string is expressed in a mixed fraction form.
length of the string = 2 16 / 20
let's express it in a simplified form. This is usually in an improper fraction form.
Therefore,
2 16 / 20 = 56 / 20
Hence,
56 / 20 = 14 / 5 meters
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Does anyone know how to do these two questions I have to turn this in ( I will be very grateful
Answer:1. 72.5
Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5
number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320
what interest rate do you need for an $5000 investment compounded annually to double in 10 years?
Answer:
The investment rate that you need for a 5000$ invest compounded annually to double in 10 years is 55,000
Step-by-step explanation:
Quadrilateral PQRS is inscribed in a
circle. The ratio of mP to mR is 2:4.
What is mR?
F 30°
H120°
G 60°
J Not here
Answer: H
Step-by-step explanation:
Sum= 5; Product = 6
Answer:
2 and 3
Step-by-step explanation:
[tex]3*2=6\\3+2=5[/tex]