Answer
Step-by-step explanation:
simplify the sum state any restrictions on the variables (x+6)/x^2-36 + 1/x-6
PLEASE SHOW YOUR WORK
Answer:
x ≠ 6
Step-by-step explanation:
Simplify The Equation,
[tex] \frac{(x + 6)}{x {}^{2} - 36} + \frac{1}{x - 6} \\ = \frac{(x + 6)}{ ({x})^{2} -(6)^{2} } + \frac{1}{x - 6} \\ = \frac{(x + 6)}{(x + 6)(x - 6)} + \frac{1}{x - 6} \\ = \frac{(x + 6) + 1(x + 6)}{(x + 6)(x - 6)} \\ = \frac{x + 6 + 1x + 6}{(x +6)(x - 6)} \\ = \frac{2x + 12}{(x + 6)(x - 6)} [/tex]
Factorize The Equation,
[tex] \frac{2x + 12}{(x + 6)(x - 6)} \\ = \frac{2(x + 6)}{(x + 6)(x - 6)} \\ = \frac{2}{x - 6} [/tex]
From the Given function,
x-6 ≠ 0
x ≠ 6
Thus x ≠ 6 is a restriction.
The solution is : x ≠ 6, is a restriction on the variables
(x+6)/x^2-36 + 1/x-6.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
Simplify The Equation,
(x+6)/x^2-36 + 1/x-6
=(x+6)/(x-6) (x+6) + 1/x-6
= (x+6)+(x+6) /(x-6) (x+6)
=(2x+12)/(x-6) (x+6)
Factorize The Equation,
(2x+12)/(x-6) (x+6)
= 2(x+6) /(x-6) (x+6)
=2/ (x-6)
From the Given function,
x-6 ≠ 0
x ≠ 6
Thus x ≠ 6 is a restriction.
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What is 5/6 of 14 1/2?
PLEASE explain how it is!
please help its last question and i been on it for 15 minutes
Answer:
5/6 of 14 1/2 is 12.08333333
Step-by-step explanation:
14 1/2 = 14.5
14 = 14
and 1/2 = 0.5
now, you take 14.5 and divide by the denominator of the fraction that you have, which is 6
14.5 ÷ 6 = 2.416666667
and now you take 2.416666667 and multiply that by 5, because you are trying to find 5/6 of this number
2.416666667 × 5 = 12.08333333
So your answer is 12.08333333
Find the sum. Write your answer in simplest form.
3/7 + 2/3
Answer:
Step-by-step explanation:
3/7 + 2/3
Change both to the most common denominator
3/7 x 3/3 = 9/21
2/3 x 7/7 = 14/21
9/21 + 14/21
9+14 = 23
23/21
1 2/21
Not sure if thats helpful or not
Answer:
Step-by-step explanation:
3/7 + 2/3
Change both to the most common denominator
3/7 x 3/3 = 9/21
2/3 x 7/7 = 14/21
9/21 + 14/21
9+14 = 23
23/21
1 2/21
∩ ° ∠ ° ∩ ⇒ what conclusion can be drawn from the quiz score s shown below ?
ken ’ s class : ∫ 72 , 78 , 83 , 84 , 85 , 87, 92 ∫
judy ’ s class : ∫ 76 , 78 , 85 , 87 , 89 , 92 , 98 ∫
CHOICE A ⇒ the test score s in ken ’ s class are more spread out compared to those in judy ' s class .
CHOICE B ⇒ the median score is equal to the mean score in both classes .
CHOICE C ⇒ the mean score is greater in judy ’ s class compared to ken ’ s class .
CHOICE D ⇒ the median score in ken ’ s class is greater than the median score in judy ’ s class .
the meadian score is greater in Judy’s class compared to Ken’s class.
Kens class has a mean score of 83, and Judy's class has a mean score of 86.43(rounded) so, judging by the mean, Judy's class is smarter. If we take a look at the median, (Ken: 84, and Judy: 87) then Judy's class is smarter. So, overall Judy's class is smarter than Ken's class.
im looking for the volume of a sphere with a radius of 5 and for pi we are using 3.14
what would be my answer?
Shelby’s recipe says to add 3/4 cup of brown sugar and 1/8 cup of white sugar how much sugar recipe call for altogether
Answer:
3/4 cup = 6/8 cup
1/8 cup = 1/8 cup
Now you can add the two fractions:
6/8 cup + 1/8 cup = 7/8 cup
Therefore, the recipe calls for 7/8 cup of sugar altogether.
Step-by-step explanation:
Find the value of k plsssssss
Answer:
its -3
Step-by-step explanation:
because the second line or blue one starts at y=0 and to get that you must plug in an answer that will give you an equvlant to y=x
so y=(x+k)+3 then what plus or minus 3 gives you 3 the answer is -3 because -3+3 equals 0so that of course means the finle euation is y=(x-3)+3hope that helps buddyTriangle CAT has vertices C(-4,5), A(3,-1), and T(-2,-7). What are the coordinates of the image after a reflection over the y-axis? Remember to includes parentheses and do NOT include any spaces.
C'
А'
T'
Deanna gets 3 problems incorrect on her quiz. Her score is 85%. How many questions are on the quiz?
Let's start by seeing what percentage is incorrect.
100-85=15
So, 15% is incorrect when answering 3 problems wrong. So let's divide 15 by 3.
15÷3=5
So, each problem is worth 5%, let's divide 100 by 5. The reason I'm doing this is to find out how many questions are on the quiz since if you got them all right, it's 100.
100÷5
20
There are 20 questions, let's make sure this is correct.
If she got 3 wrong, she got 17 right. Let's calculate her percentage and make sure it is the right one.
17÷20
.85×100
85%
Answer: So, there are 20 questions on the math quiz.
Answer:
20 questions
Step-by-step explanation:
Deanna got 15% incorrect
The 15% is equal to the 3 questions she got wrong
Divide 15 by 3 to get 5
Then, divide 100% by 5 to get 20
Therefore, there are 20 questions of the test
I need the formula for a cone the height is 10 and the radius is 4 and for Pi we are using 3.14 :)
WILL GIVE BRAINLIEST!HURRY! At the end of practice, there are 240 ounces of sports drink left in the cooler. Every player had some sports drink from the cooler. Based on the equation, y= 648 - 24x, how many players were at practice?
10
15
17
21
Answer:
Hello!
The answers are:
B. Before practice, there are 648 ounces of sports drink in the cooler.
C. Each plater drinks approximately 24 ounces of sports drink at practice.
E. For each additional player that takes a drink, there will be approximately 24 fewer ounces of sporks drink remaining after the practice.
Why?
We are given the equation:
Let's discard each of the given options in order to find the three correct options.
A. The cooler is meant to be used only by 24 players: False.
If we want to calculate how many players can use the cooler, we need to isolate "x" (rate of change) from the given equation, so, isolating we have:
We have that the cooler can be used by 27 players, so, the first option that states that "The cooler is meant to be used only by 24 players" is false.
B. Before practice, there are 648 ounces of sports drink in the cooler: True.
We have that before the practice when the cooler is not being used by any player (or there is no any player) has 648 ounces (full), we can calculate it making the variable "x" equal to 0, so, calculating we have:
Therefore, we have that the statement "Before practice, there are 648 ounces of sports drink in the cooler." is true.
C. Each plater drinks approximately 24 ounces of sports drink at practice: True.
From the statement, we know that the rate of change is equal to (-24), and it's equal to the number of ounces that each player drinks.
Hence, we have that the statement "Each plater drinks approximately 24 ounces of sports drink at practice." is true.
D. If 24 players get drinks from the cooler, they will drink a total of 648 ounces of sports drink: False.
If we want to calculate the number of ounces that 24 players will drink, we need to use the slope value. If we know that each player drinks 24 ounces, so, to calculate how many ounces of sports drink will 24 players drink, we need to use the following equation:
We have that 24 players will drink a total of 576 ounces, so, the statement "If 24 players get drinks from the cooler, they will drink a total of 648 ounces of sports drink." is false.
E. For each additional player that takes a drink, there will be approximately 24 fewer ounces of sporks drink remaining after the practice: True.
From the statement and the equation, we know that the slope (rate of change) is negative, meaning that for each player (x) it will be 24 fewer ounces of sports drink after practice, for example, calculating for 1 and 2 players, we have:
We can see that for each player, it will be 24 fewer ounces of sports drink after practice.
Hence, we have that the statement "For each additional player that takes a drink, there will be approximately 24 fewer ounces of sporks drink remaining after the practice." is true.
Therefore, the correct options are:
B. Before practice, there are 648 ounces of sports drink in the cooler.
C. Each plater drinks approximately 24 ounces of sports drink at practice.
E. For each additional player that takes a drink, there will be approximately 24 fewer ounces of sporks drink remaining after the practice.
Have a nice day!
Answer:
17
Step-by-step explanation:
240=648-24x
24x=648-240
24x=408
x=408/24
x=17
∩ · ω · ∩ ⇒ what is the first quartile of the data shown on the box plot in the image ≈
Answer:
70 I think..... pretty sure... I haven't done these in a while
sorry about the late answer :D
pt2 help????????????
Answer: 2ft
Step-by-step explanation:
pleasse no wrong answers
Large Polygon 14 x21= 294
Little Polygon 2x(2x2) =8
294-8=286
Will give 50 points, answer all
Answer:
198
Step-by-step explanation:
length =11
width=18
Length times width = area
11 times 18 equals 198
i hope this helps! <3
i just need the area. please no wrong answer
Answer:
78m^2
Step-by-step explanation:
to find the rectangle:
6×9=54m^2
for one triangle:
4×6=24
24÷2=12
both triangles: 12+12=24
area all together= 24+54=78m^2
Simplify the following 5/8 × 6/7.
[tex] \frac{15}{28} [/tex]
Multiply numerator by numerator and denominator by denominator
i really need help please
Answer:
-4, -1, 1, 3, 3.9, 3.99, 3.999
<33
Doira has a company that sells plants. She sells 34 for plants for $9,000 each her first day. The next couple days she sells 34 for $99,999 each. If she keeps selling them for $99,999 each for 100 weeks,how many plants will she have sold? How much money will she have made?
Answer:
1)23,800 plants.
2)$2,380,068,200
Step-by-step explanation:
1) if Doira sells 34 plants for $99,999 each for 100 weeks, she will have sold a total of 23,800 plants.
2.On the first day, Doira sold 34 plants for $9,000 each, so she made a total of 34 x $9,000 = $306,000.
In the following days, she sold 34 plants for $99,999 each, so her daily earnings were 34 x $99,999 = $3,399,966.
If she continues to sell 34 plants for $99,999 each for 100 weeks, she will sell a total of 34 x 100 x 7 = 23,800 plants.
Her total earnings from selling 34 plants for $99,999 each for 100 weeks will be 23,800 x $99,999 = $2,379,762,200.
Adding her earnings from the first day, her total earnings will be $2,379,762,200 + $306,000 = $2,380,068,200.
Answer: she would sell 340 plants and make $9,999,900
Step-by-step explanation:
34 x 100 =340
99, 999 x 100 = 9,999,900
urgent, 2 screenshots!!
x-y^3 :x= -7, y=3
PLEASEEEE HELP!
Answer:
-34
Step-by-step explanation:
-7-3^3
-7-27
-34
Answer: SOLVE FOR X, Y
x = - 7/1-y3
y = 3, y3 doesnt no = 1
Step-by-step explanation:
Use the drop-down menus to complete the statements below to answer this question: Can you determine whether a system of linear equations has a solution just by looking at the graph of the equations?
The coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) ___.
If (−6,4) satisfies the equations of two lines, (−6,4) is ___ , so the lines will ___ at (−6,4).
This means that if two lines ____ at (−6,4), then (−6,4) is the ____ to the system of equations.
This means that if you substitute −6 for x and 4 for y in the equations, both equations will be ____.
Answer:
The coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) makes the equation true.
If (−6,4) satisfies the equations of two lines, (−6,4) is a point on both lines, so the lines will intersect at (−6,4).
This means that if two lines intersect at (−6,4), then (−6,4) is the solution to the system of equations.
This means that if you substitute −6 for x and 4 for y in the equations, both equations will be true. However, this information alone is not enough to determine whether a system of linear equations has a solution just by looking at the graph of the equations
Step-by-step explanation:
I Got You Bro
The coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) makes the equation true.
If (−6,4) satisfies the equations of two lines, (−6,4) is a point on both lines, so the lines will intersect at (−6,4).
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
The coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) makes the equation true.
If (−6,4) satisfies the equations of two lines, (−6,4) is a point on both lines, so the lines will intersect at (−6,4).
This means that if two lines intersect at (−6,4), then (−6,4) is the solution to the system of equations.
This means that if you substitute −6 for x and 4 for y in the equations, both equations will be true.
However, this information alone is not enough to determine whether a system of linear equations has a solution just by looking at the graph of the equations
Hence, the coordinates of (−6,4) satisfy the equation y=13x + 6 because (−6,4) makes the equation true.
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From a log of wood of length (8x+12) m, a piece of length (4x+3) m was cut. Find the length of the remaining log of wood.
Grade#7
Answer: 4x+9
Step-by-step explanation: (8x+12)- (4x+3)
Answer: (4x+9)
Step-by-step explanation:
Log of wood = (8x+12)
piece length = (4x+3)
So, (8x+12) - (4x+3)
=> (8x+12) - 4x - 3
=> 8x-4x +12 -3
=> 4x + 9
So, the length of the remaining piece of wood = (4x+9)
hope it helps
Find the perimeter and area.
a. Rectangle, L=14m and B=9.5m
b. Square, side=14.5cm
c. Rectangle, L=25cm and B=16.8cm
Grade#8
Answer:
Step-by-step explanation:
rectangle Perimeter = 2(l+b)
So, 2(14+9.5)
=> 46.5m
area = lb
So, 14*9.5
=> 133m^2
Square Perimeter = 14.5*4
= 58cm
Area = 14.5^2
= 210.25m^2
Rectangle #2
2(25+16.8)
=> 83.6 cm
Area = 420m^2
hope it helps
no problem
Will give 50 points answer all questions
Answer:
1: height=3
width = 9
2: 24
3:45
4:60
——————————————————————————————
— number #1
H - 3
W - 9
——————————————————————————————
— number #2
= 24
— number #3
= 45
— number #4
= 60
——————————————————————————————
Use the info given in the figure to find the length RV. If applicable, round your answer to the nearest whole number. The lengths on the figure are not drawn accurately
Answer:
this was made on my birthday
Step-by-step explanation:
Do a and b please. Thanks.
Answer:
(a).
Trapezium:
(25+100)÷2×50
=62.5×50
=3125m²
Parallelogram:
100×30
=3000m²
Total:
3125+3000
=6125m²
(a) Explanation:
Area of Trapezium=
(a+b)÷2×h
Area of Parallelogram=
length×wide
(b).
6125÷100×190
=61.25×190
=£11637.5
The volume of a cylinder is 630 cubic centimeters. What is the volume of a similar cylinder that has been reduced by a scale factor of 13
? round to your nearest tenth place
Answer:
Step-by-step explanation:
ifddergfergwrtg
Triangle CAT has vertices C(-4,5), A(3,-1), and T(-2,-7). What are the coordinates of the image after a 270° counterclockwise rotation about the origin? Remember to include parentheses and do NOT include any spaces.
C'
A'
T'
From my understanding and your lack of a picture:
The triangle CAT has rotated in 90 degrees clockwise direction about the origin or 270 degrees counterclockwise direction about the origin.
Step-by-step explanation:
From the given figure it is noticed that the coordinates of the vertices of the pre-image are C(-2,1), A(-3,3) and T(1,1). The coordinates of the vertices of the image are C'(1,2), A'(3,3) and T(1,-1).
From these coordinates, we can conclude that the relation between the preimage and image is
If a figure rotated 90 degrees clockwise direction about the origin, then
Therefore triangle CAT is rotated 90 degrees clockwise direction about the origin or 270 degrees counterclockwise direction about the origin.
Can someone pls help