Answers
Answer:
[tex]\bold{x=-\dfrac23}[/tex]Step-by-step explanation:
[tex]\dfrac x{x+2}-\dfrac4{x-2}=1\qquad\qquad\qquad x\ne2\ \wedge\ x\ne-2\\\\\\ \dfrac {x(x-2)}{(x+2)(x-2)}-\dfrac{4(x+2)}{(x-2)(x+2)}=1\\\\\\ \dfrac {x^2-2x-4x-8}{x^2-4}=1\\\\ \\\dfrac {x^2-6x-8}{x^2-4}=1\quad\iff\quad x^2-6x-8=x^2-4\\\\x^2-6x-8=x^2-4\\\\-6x-8=-4\\\\-6x=4\\\\x=-\frac46\\\\x=-\frac23[/tex]
The solution to the equation is x = -2/3.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is [tex]\frac{x}{x+2}-\frac{4}{x-2}=1[/tex].
Solve the equation as follows:
[tex]\frac{x}{x+2}-\frac{4}{x-2}=1\\\\\frac{x(x-2)-4(x+2)}{(x+2)(x-2)}=1\\\\\frac{x^2-2x-4x-8}{x^2-4}=1\\\\x^2-6x-8= x^2-4\\\\-6x = 8-4\\\\6x = -4\\\\x=-\frac{2}{3}[/tex]
Hence, the solution to the equation is x = -2/3.
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Related Questions
How do you find the slope of (14,-8) and (7,-6)
Answers
x^1= 14, y^1= -8, x^2= 7, y^2= -6
Plug it in: -6- -8 divided by 7-14
Answer: 2/-7
Help me on this please
Answers
Answer:
14. y=10
Step-by-step explanation:
3y-7=23
+7 +7
3y=30
---- -----
3 3
y=10
Answer:
y=10j=8Step-by-step explanation:
[tex]3y-7=23[/tex]
Collect like terms and simplify
[tex]3y =23+7\\3y=30[/tex]
Divide both sides of the equation by 3
[tex]\frac{3y}{3} = \frac{30}{3}[/tex]
Simplify
[tex]y=10[/tex]
2.
[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]
Tell whether the angles are adjacent or vertical. Then find the value of x
Answers
Answer: The angles are vertical. The value of x=25
Step-by-step explanation:
4x-25=75
+25 +25
4x=100
/4 /4
x=25
I hope this help you! :)
32. A student finds the slope of the line between (4, 12) and (4, 17) . She writes 12-17 4-4 , What mistake did she make?
Answers
there is the screenshot
Answers
Answer:
11 Tenths
Step-by-step explanation:
Withouth the tenths, the bottom number would be 1.05. So we need 1.10 or 11 more. 10 tenths is one whole plus the 1 tenth we need to put in the tenths place.
A rectangular chocolate bar is made of equal squares. Irena breaks off two complete strips of squares and eats the 12 squares she obtains. Later, Jack breaks off one complete strip of squares from the same bar and eats the 9 squares he obtains. How many squares of chocolate are left in the bar?
Answers
Answer:
There are three more square chocolates left
Step-by-step explanation:
We know that Irena breaks off 2 complete strips and eats 12 meaning each strip had 6 squares. Jack breaks off 9. So if we add all the squares into rows of 6, we get four strips of chocolate from the beginning. Since Jack and Irena obtained 21 chocolate squares altogether, we have 3 chocolate squares that are remaining. I hope this helps ;)
The number of Squares of chocolate left in the bar is; 15 squares
What is the amount of squares left?
A square has 4 equal sides and since one row contains 6 squares because irena ate 2 complete rows that had 12 squares.
It means that each of the vertical height must also contain 6 squares as well.
Now, two rows are gone and so we now have 4 rows with vertical height of 4 squares. That is 24 squares left.
Now, Jack ate 9 squares and so;
Amount of squares left = 25 - 9 = 15
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Does this table represent a function? Why or why not?
Answers
Answer:
NO. B is the answer
Step-by-step explanation:
because there are two of the same x values, causing there to not form a straight line.
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
-2(3x - 10) -what would you get when distributed.
Answers
Answer:
-6x+20
Step-by-step explanation:
What's the answer to 1.6(2.5-10)+8.2=???
Answers
Answer:
-3.8
Step-by-step explanation:
1.6(2.5-10) + 8.2
1.6(-7.5) + 8.2
-12 + 8.2
-3.8
Answer:
-3.8
Step-by-step explanation:
1.6 * 2.5 = 4
1.6*-10 = -16
4-16+8.2
4-16 = -12
-12+8.2 = -3.8
There is a tree house with a wall that is 7 feet high, what is the volume of the tree house?
Answers
Answer:
343 feet
Step-by-step explanation:
You cannot find the volume with only this measurement. You also need the shape of the treehouse
EXPLANATION:
The formula for volume is Length*Width*Hight
Assuming that the tree house is a cube, you would do 7*7*7, which gets you 343
7 * ( -15 ):
por favor, es urgente):
Answers
Answer: From what I understand you want me to do 7*(-15)??? and the answer to that is -105.
Step-by-step explanation: All you have to do is 7*-15
Solve for c.
c=2
Ac=-16
Bc=-4
Cc=4
Dc=16
Answers
B=-2 since 2 x -2 =-4
C=2 since 2 x 2 = 4
D= 8 since 8 x 2= 16
Please help . Write 405 in scientific notation 405
Answers
Answer:
4.05 x 10^2
Step-by-step explanation:
Please mark brainiest
and give 5 stars
Thanks
Help please-
The state fair is a popular field trip destination. This year the senior class at High School A and he senior class at High School B both planned trips there. The senior class at High School A rented and filled 2 vans and 5 buses with 307 students. High School B rented and filled 6 vans and 10 buses with 626 students. Each van and each bus carried the same number of students.Find the number of students in each van and in each bus.
Let x = number of students in each van
y = number of tudents in each bus
Equation 1: 2x+5y=307
Equation 2: 6x+10y=626
Part A: Which method will you use to solve this problem? (Graphing (Rewrite equations in slope intercept form first), Substitution, or elimination) ATTACH YOUR WORK
Part B: How many students can a van carry?
How many students can a bus carry?
Answers
Answer:
Use elimination, x = 6, y = 59
Step-by-step explanation:
1) Multiply Equation 1 by 2
E1: 4x +10y = 614
E2: 6x+10y = 626
2) Subtract E2 from E1
-2x = -12
x = 6
3) Substitute x = 6 into one of the equations (I used the original Equation 1)
2(6) +5y = 307
12+ 5y = 307
5y = 295
y = 59
A van can carry 6 students, and a bus can carry 59 students.
12) The angle of depression of a wire attached from the top of a pole to a stake in the ground is 52 degrees If the pole is 62 feet in length, what is the length of the wire to nearest tenth of a foot?
Answers
Answer:
Step-by-step explanation:
What is the measure of angle D?
A. 75°
B. 80°
C. 95°
D. 110°
Answers
Answer:
110%
Explanation:
Tyler tried to solve an equation step by step
3(x +4)=-18
Answers
Answer:
x = -10
3(x + 4) = -18
3x + 12 = -18
3x + 12 = -18
3x = -18-12
3x = -30
x= -30/3
x = -10
Step-by-step explanation:
[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]
3-1/6 please help me I don’t feel like doing the math
Answers
Answer:
17/6
Step-by-step explanation:
if u need a mixed number do it urself
The evening low temperature in New York in the month of February was -7°F. The following day, the
temperature rose to a high of 25°F. What was the change in temperature that day?
Answers
Answer:
32°F
Step-by-step explanation:
Given that,
The low temperature in New York in the month of February was -7°F. The following day, the the temperature rose to a high of 25°F.
We need to find the change in temperature that day.
Change = final temperature - initial temperatur
Change = 25°F - (-7°F)
= 25 +7
= 32°F
so, the required change in temperature is 32°F.
I don't understand this
Answers
Answer:
[tex]m = 3 \sqrt{12} [/tex]
[tex]n = 6[/tex]
Step-by-step explanation:
n=1/2 of 12 according to the rule:
right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.
so n=12/2=6
and now we will need Pythagorean theorem : the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
so
[tex] {m}^{2} + {n}^{2} = {12}^{2} [/tex]
now lets put numbers on formula
[tex] {m}^{2} + {6}^{2} = {12}^{2} [/tex]
from this formula m=
[tex]m = \sqrt{ {12}^{2} - {6}^{2} } = \sqrt{144 - 36} = \sqrt{108} = 3 \sqrt{12} [/tex]
pls answer my question please correctly
Answers
Answer:
13/10 5/3 40-78 C A
Step-by-step explanation:
Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measures
Answers
Answer:
31 , 59
Step-by-step explanation:
a = b +28
a + b = 90 {Complementary}
b + 28 + b = 90 {Combine like terms}
2b + 28 = 90 {Subtract 28 form both sides}
2b = 90 - 28
2b = 62 {Divide both sides by 2}
b = 62/2
b = 31
a = 31 + 28
a = 59
Suppose you deposit $7500 $ 7500 in a savings account that has an interest rate of 512%. 5 1 2 % . If the interest is compounded monthly, what will the approximate balance of this savings account be after 3 3 years?
$8842
$7603
$14,424
$37,645
Answers
Answer:
8842
Step-by-step explanation:
The approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.
How to determine what will the approximate balance of this savings account be after 3 3 yearsTo calculate the approximate balance of the savings account after 33 years with monthly compounding interest, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Substituting the values into the formula:
A = $7500(1 + 0.0512/12)^(12*33)
Calculating inside the parentheses first:
A = $7500(1 + 0.00427)^(396)
Now, raising to the power:
A ≈ $7500(1.00427)^(396)
Evaluating this expression:
A ≈ $7500 * 56.951
A ≈ $425,632.50
Therefore, the approximate balance of the savings account after 33 years with monthly compounding interest will be approximately $425,632.50.
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A company wants to learn about the number of its employees who visit the dentist for regular checkups. Which type of study will best help the company discover this information?
census
survey sample
observational study
experiment
Answers
Answer:
A. Census
Step-by-step explanation:
You would simply ask ALL of the employees at your workplace as to whether or not they visit the dentist for regular check-ups. Thus, it is a census.
The type of study which will be the best help the company discover this information is survey sample, the correct option is B
What is the sample space for a random experiment?Sample space is the set of all possible outcome the considered random experiment can result to.
Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}. We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.
We are given that;
The number of its employees who go to the dentist.
Now,
A census involves collecting data from every individual in a population, which can be time-consuming, expensive, and may not be feasible for a large company with a large number of employees.
An observational study involves observing individuals and collecting data without intervening or manipulating any variables. This type of study may not provide information about the number of employees who visit the dentist for regular checkups since it does not involve asking individuals directly about their behavior.
An experiment involves manipulating one or more variables to observe the effect on another variable. This type of study may not be appropriate for studying employee behavior related to dentist visits since it may not be ethical or practical to manipulate employees' behavior in this way.
A survey sample, on the other hand, involves selecting a subset of employees and asking them directly about their behavior related to dentist visits. This can be an effective and efficient way to gather information about the number of employees who visit the dentist for regular checkups.
Therefore, by sample space the answer will be survey sample.
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+
Scale of drawing
1 in: 6 ft
Answer the following.
(a) The wingspan of the real airplane is 60 feet.What is the
wingspan of the airplane in the scale drawing?
360 inches
$
(b) In the scale drawing, the length of the airplane is 8 inches.
What is the length of the real airplane?
48 feet
Answers
Answer:
tell ur teacher am not sure about the question
I NEED YOUR HELP PLEASEE !!
Answers
Answer:
I think it is the right triangle
Triangle ABC is similar to triangle XYZ. Solve fort. t=1 С 13.5 12 А A 19.5 B 4 Y 2 4.5 t Х
Answers
Answer: 6.5
Step-by-step explanation:
Complete the inequality
x ≤ ______
HELP ASAP!!!!........
Answers
Answer: x ≤ x
Step-by-step explanation:
Listen
A game is played with six-sided dice. Each side of a die has a different number of spots on it from one to six. If a die is rolled, what is the probability that it will show exactly two
spots on the top?
Answers
Which of the following isolates r correctly?
4r - 6 = 2(n + 3)
Answers
Answer:
r = 1/2n + 3
Step-by-step explanation:
Are there answer choices to choose from?
This is how you would isolate the r:
4r = 2n + 6 + 6 so 4r = 2n + 12
Solve for r by dividing both sides by 4 so r = 1/2n + 3
Answer:
-2=2n+6
2n=2-6
2n=-4
n=-2