Answers
The value of x in the given equation is 1 or 8.
First, let us understand the equation:
An equation is a mathematical expression that includes the equals sign. Algebra is frequently used in equations.
We are given;
x / (x + 8) + 1 / (x - 8) = 2x / (x^2 - 64)
x (x - 8) + 1 (x + 8) / (x^2 - 64) = 2x / (x^2 - 64)
x^2 - 8x + x + 8 = 2x
x^2 - 8x - 2x + x + 8 = 0
x^2 - 9x + 8 = 0
x^2 - 8x - x + 8 = 0
x(x - 8) - 1 (x - 8) = 0
(x - 1) (x - 8) = 0
(x - 1) = 0 or (x - 8) = 0
x = 1 or x = 8
So, the value of x = 1 or 8.
Thus, the value of x in the given equation is 1 or 8.
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Related Questions
Which of the following is the correct representation of permutation?
Answers
Answer: the answer is P (n,r)
A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 3100 seats. The students filled 1178 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
Answer:
38%
Step-by-step explanation:
[tex]\frac{1178}{3100}[/tex] x 100
Write an equivalent equation using the Subtraction Property of Equality
9y = 4y + 10
(explain how to do this to)
Answers
The Equivalent equation using the Subtraction Property of Equality is y = 2.
what is Subtraction Property of Equality?According to the Subtraction Property of Equality, if two equal items have an equal value subtracted from them or deleted, the result is a new equal amount. When two equivalent sides of a mathematical statement are separated by an equal sign, an equation is being expressed. The subtraction property is expressed as follows: If a = b, then a - c = b - c.In order to balance an equation, one must apply the same mathematical operation on both sides, which is known as the subtraction property of equality.If we have an expression as ( a + b ) = c
Then as per subtraction property of equality [ (a + b ) - b = c - b ]
Here given 9y = 4y + 10
Simplifying this equation, we get
⇒9y - 4y = 10
⇒( 9 - 4 )y = 10
⇒5y = 10
therefore, y = ( 10 ÷ 5 )
⇒y = 2
Therefore the equivalent equation is y = 2.
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This image will be used for Part D. Question: Use the constraints of the real-world situation to predict the height of the baseball at 20 seconds. Select all that apply.
Options:
1. The height of the ball would be zero at 20 seconds.
2. The ball will be on the ground and 20 seconds.
3. The ball would bounce and go back to a height of 50 feet.
4. g(x) = 0.
5. there is not enough information to answer this question.
Tell me all the options like this: Option 1,2,4.
Answers
Step-by-step explanation:
the correct answer IS options 1, 2, 4.
the curve shows us that the ball hits the ground (height 0) at 12 seconds and then stays there.
so, at 20 seconds the height is 0, as the ball is on the ground, and so the functional result g(x) = 0.
actually that is g(20) = 0.
as g(x) gives us the height of the ball x seconds after throwing it out of the window.
although I have to say : the graph does not show us the situation at 20 seconds (it ends at 16 seconds). maybe somebody picks it up (so, it would move up again). we don't know.
so, there is some point for option 5.
but normally, we can say 1, 2, 4 are correct.
option 3 is definitely out, because the ball would not suddenly, after 8 seconds (from 12 to 20 seconds) flat on the ground, start bouncing again.
he side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
64x6 + 144x4 + 108x2 + 27
64x6 + 48x4 + 12x2 + 1
4x6 + 36x4 + 108x2 + 27
4x6 + 12x4 +12x2 + 1
Answers
The volume of the cube with the given side length is 64x⁶ + 144x⁴ + 108x² + 27 , the correct option is (a) .
The Volume of the cube with side length "a" is given by the formula
Volume = a³ .
In the question ,
it is given that ,
the length of the side (s) of the cube is 4x² + 3 .
By using the formula for Volume of the cube ,
we get
Volume = (4x² + 3)³
using the identity (a + b)³ = a³ + b³ + 3a²b + 3ab²
we get ,
Volume = (4x²)³ + 3³ + 3*(4x)²*(3) + 3*4x*3²
Simplifying further ,
we get
= 64x⁶ + 27 + 9*16x⁴ + 27*4x²
= 64x⁶ + 27 + 144x⁴ + 108x²
= 64x⁶ + 144x⁴ + 108x² + 27
Therefore , The volume of the cube with the given side length is 64x⁶ + 144x⁴ + 108x² + 27 .
The given question is incomplete , the complete question is
The side length s , of a cube is 4x² + 3 . If V = s³ , what is the Volume of the cube ?
(a) 64x⁶ + 144x⁴ + 108x² + 27
(b) 64x⁶ + 48x⁴ + 12x² + 1
(c) 4x⁶ + 36x⁴ + 108x² + 27
(d) 4x⁶ + 12x⁴ +12x² + 1
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5 friend pay £18 each for hall practice how much would 15 friend pay with invere proportion
Answers
15 friends pay £6 each for hall practice with inverse proportion
Friends = 5
Each pays = £18
Total payments = 5*18
= 90
Friends = 15
Each pays = 90/15
= 6
Hence, 15 friends pay £6 each for hall practice with inverse proportion.
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Abram is an investor. The table summarizes Abram's trades in a year.
Price per Share
($)
90
70
50
75
Date
Details
starting value ($900)
bought stock
bought stock
1-1-16
3-11-16
5-10-16
12-30-16 sold stock
Number of Shares
10
5
15
30
Compute and compare Abram's fees to trade with Stocks & More and with Trading Station for the year.
Type the correct answer in each box. Use numerals instead of words.
Abram's total fees for the year if he trades with Stocks & More are $
deducting all fees, but before he pays taxes on his gain, is $
Abram's total fees for the year if he trades with Trading Station are $
deducting all fees, but before he pays taxes on his gain, is $
His final return for the year after
His final return for the year after
DIUTZEN
Sign out
Nov 8
5:32 O
Answers
Answer:
Okay so for the first box the answer is, 116.85.
The second box is, 2,133.15
For the third box, 141
And the fourth and final box is, 2,109
Step-by-step explanation:
I really hope this helps!!
Assessment Analytics
Math
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G.16 Add, subtract, multiply, and divide fractions and mixed numbers: word problems KR7
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Last week, Becky spent 1 1/2 hours watching television. Monica watched television for 1/2 as
many hours as Becky did. How many hours did Monica spend watching television?
Write your answer as a fraction or as a whole or mixed number.
Answers
Number of hours spent by Monica on TV is 45 minutes , the time spent by Becky is in mixed fraction.
What is mixed fraction?
A mixed fraction is one that has each its quotient and remainder delineated.
Main Body:
Number of hours spent by Becky on TV = 1 1/2 hours
This is a mixed fraction.
Converting into decimal form,
1 1/2 can be written as 1.5 hours
Converting hours into minutes ,
⇒1.5 * 60 = 90 minutes
Time spent by Monica = (1/2)* Becky's time
⇒Time spent by Monica = (1/2)*90
⇒ 45 minutes
Hence time spent by Monica is 45 minutes.
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Choose the correct reason to justify each of the first four statements in the derivation. 1) a2 = h2 x2
Answers
The Pythagorean Theorem could be represented mathematically as follows, Here, c represents the length of the hypotenuse (the longest side), or b or a are the lengths of the other 2 sides. From the equation, you can easily find the value of the 1 side if you have the values of the other 2
1) a2 = h2 + x2
Pythagorean theorem
2) h2 = a2 - x2
Rearrange the previous statement
3) c2 = h2 + (b-x)2
Pythagorean theorem
4) c2 = h2 + b2 -2bx + x2
Expand (b – x)2
What made Pythagoras think of the Pythagorean theorem?
The number 1 : the number of reason.
The number 2: the first even and female number, the number of opinion.
The number 3: the first true male number, the number of harmony.
The number 4: the number of justice or retribution.
The number 5: marriage.
The number 6: creation
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1575 to the nearest 10
Answers
⇒ Rounding off to the nearest 10 we look at the unit
⇒ for 0-4 we round down, and for 5-9 we round up.
⇒In this case the unit is 5, this means we will round up, the number in the tenth place will be affected.
∴ The answer is 1580
⇒Note 7 was rounded up to 8 due to the 5 in the unit place.
Which of the following represents the solution to 2x + 7 = 15?
Answers
Answer:
Step-by-step explanation:
x=4
15-7=8
8/2=4
Answer: 2(4) + 7 = 15
Step-by-step explanation:
2 + 7 only equals 9
2 * 4 = 8
8 + 7 = 15
So x would be 4
HELP!
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
008
Clear all
Enter the correct answer.
+?
DONE
Answers
Answer:
y = 1/2x + 4
Step-by-step explanation:
slope-intercept form is: y = mx + b
- x and y are coordinates; if you plug the coordinates into your equation, you should receive a solution.
- m is the slope itself. this can be figured out by calculating the rise/run. look at the point (0,4). the line goes up by one, and right by two. therefore, the slope is 1/2. the line is also going up, so therefore it is a positively sloped line.
- b is the y-intercept, or where the line crosses the y-axis. in this specific example, the line crosses the y-axis at the point (0,4), and therefore the b would be + 4.
so when you put everything together and plug the m and the b into the slope formula, you get y = 1/2x + 4.
hope this helped!<3
I need this asap please 30 points + brainliest if its correct
The amusement park is offering tickets to a summer concert series. If you buy tickets to the first show for $25.00, then the tickets for each remaining concert are only $15.00 each. Tayah has $115.00 she can spend on tickets for the summer concert series.
Which inequality represents the the maximum number of concert tickets Tayah can buy for the reduced price of $15.00?
Answers
Answer: 25 + 15x
x = 6 tickets.
Step-by-step explanation:
First of all, we need to write an equation.
The equation will be x = $25 + $15x.
Now, we need to use trial and error. I'm going to try plugging in 9 into X because I know that 10 would be too big.
25 + 15(9)
25 + 135
160
This does not work.
Now, I'm going to try 7, because 9 was very far off.
25 + 15(7)
25 + 105
130.
It still doesn't work.
Finally, I'm going to try 6.
25 + 15(6)
25 + 90
115.
The owner of Trixie's Sweets and Treats, a large candy store, wants to order a new sign to be displayed above the storefront. The sign will be in the shape of the store's logo: an isosceles triangle with a height that's double the length of its base. So that the sign is big enough to see from the street, the owner decides that the area of the sign should be approximately 200 square feet
Answers
The equation that could be used to find the length of the sign's base is 200 = 1*b(2b)/2 and the length of the sign's base is 10√2 feet..
According to the question,
We have the following information:
The sign will be in the shape of the store's logo: an isosceles triangle with a height that's double the length of its base.
Area of the sign is approximately 200 square feet.
Let's take the base of the triangle to be b feet.
Height of triangle = 2b
Now, we know that the following formula is used to find the area of triangle:
Area = 1/2 * base*height
200 = b*(2b)/2
[tex]2b^{2} /2 = 200[/tex]
[tex]b^{2} = 200\\[/tex]
b = 10√2 feet
Hence, the equation that could be used to find the length of the sign's base is 200 = 1*b(2b)/2 and the length of the sign's base is 10√2 feet.
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if the scale factor of figure A to figure b is 4:5 find the value of x
Answers
Answer:
The value of x if the scale factor of figure A to figure B is 4:5 is; x = 12
We are given the scale factor of figure A to figure B as 4:5.
By use of similar triangles theorem, we can deduce that the ratio of corresponding sides of figure A to corresponding sides of figure B must be equal to 4:5.
Now, looking at both triangles, we can say that;
x:15 = 4:5
Thus,we can write in fraction as;
x/15 = 4/5
x = 15 × 4/5
x = 12
In conclusion, the value of x from the given proportion between both triangles is 12.
Select the values that make the inequality k ≤ 6 true.
(Numbers written in order from least to greatest going across.)
Answers
The values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.
We are given an inequality. The inequality is k ≤ 6. We are also given several values for the variable "k". We need to select the values that satisfy the inequality and make the inequality true. The values given to us are -2, 1, 3, 5, 5.9, 5.99, 5.999, 6, 6.001, 6.01, 6.1, 7, 9, 11, and 14. According to the given inequality, the values that are less than or equal to six will satisfy the inequality, and other values will not hold true. The values smaller than or equal to six are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6. Hence, the values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.
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68% of a field has been harvested, 5,4 hectares remain.
Answers
100% - 68% = 32%
5.4 hectares remain = 32% left
If you need the 100%..
If 5.4 = 32 percent
5.4 x 100 / 32
540 / 32
16.875
Answer = 16.875
here I need it asap.....................
Answers
Answer: it's 72 (B)
Step-by-step explanation: that's what I put. It was correct
PLEASE, solve this. I dont have a lot of time :(
PLEASE
Answers
Answer:
direct variation for both, 0.5x and -2.5x
Step-by-step explanation:
what you have is correct. it is linear lines on both plots and tables. and your equations are also correct because for example, -6 times -2.5 is equal to 15.
from a collection of 50 store customers, 3 are to be chosen to receive a special gift. how many groups of 3 customers are possible?
Answers
The combination of number of ways of groups of 3 customers are 19600 .
What is permutation and combination?
Combination and permutation are two alternative strategies to divide up a collection of elements into subsets in mathematics. The components of the subset may be arranged in any order when combined.The subset's components are listed in a permutation in a certain order.The number of store customer is N = 50
The number of customer that receive a special gift is r = 3
The expression for the number of possible ways to choose 3 customers is
= ⁿCr
= ⁵⁰C₃
= 50 * 49 * 48/3 * 2 * 1
= 19600
Thus, the number of ways of groups of 3 customers are 19600.
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If triangle RST is an equilateral triangle, what is the measure of angle STR
Answers
The measure of the angle STR is ∠STR = 60°.
What is an equilateral triangle?
An equilateral triangle is a triangle with the same length on all three sides. An equilateral triangle is also equiangular in Euclidean geometry; that is, all three internal angles are congruent to each other and are each 60°.
Given data:
The given triangle RST is an equilateral triangle and we have to find out the measure of angle STR.
As the property of an equilateral triangle says that "All three internal angles are congruent to each other and are each 60°."
So we can say that the measure of the angle STR = 60°.
∠STR = 60°.
Hence, the measure of the angle STR is ∠STR = 60°.
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Given the following exponential function, identify whether the change repreent growth or decay, and determine the percentage rate of increae or decreae y=210(1. 092)^x
Answers
The exponential function indicated will increase by 9.2%.
Given that,
y = 210(1. 092)^x
To find,
Determine the change's percentage rate of rise or reduction and decide if it shows growth or decay.
We have,
y = 210(1. 092)^x
Since the growth factor exceeds 1, the equation reflects exponential growth.
The general form equation is:
y(x)= a(1-r)^x such that r represents the growth rate.
1+r =1. 092
r = 0. 092= 9.2%
As a result, the exponential function will grow by 9.2%.
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Out of 273 students in a school, 95 volunteered to work on a booksale.What percentage of the students did not voluteer.
Answers
which of the following is not implied when average inventory is q/2, where q is the order quantity? the previous order quantity is entirely depleted when the next order arrives. backorders are permitted an order quantity is depleted at a uniform rate over time. an entire order quantity arrives at one time.
Answers
The option that is not implied when average inventory is q/2, where q is the order quantity is; B: backorders are permitted
How to Interpret Average Inventory?Average inventory is defined as a calculation of inventory items that are averaged over two or more accounting periods. To get the calculation of the average inventory over a year, what we will do is to add the inventory counts at the end of each month and then divide it by the number of months.
Now, inventory is usually held against uncertain usage so that a supply of items is available if needed. Thus, The maximum inventory with backorders is calculated as Q - S
where;
S is size of the reorder point
Q is the quantity of order
Looking at the given options, the one that does not imply average inventory is q/2 is option B
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Mei got scores of 76, 80, and 78 on her last three history exams. Write an inequality to determine the score, x, she needs on the next exam so that her average is at least 82.
Answers
The required inequality is x ≥ 94.
What is average?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
Add the scores with x and equate them to (82 times 4) as shown:
76 + 80 + 78 + x = (82 times 4)
234 + x = 328
Find x
x = 94
She needs x on the next exam so that her average is at least 82.
So, inequality is x ≥ 94.
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Class 10R sat a test
The mean mark for the class was 70%.
There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys is 62%.
Work out the percentage for the girls
Answers
Answer:
86%
Step-by-step explanation:
You want the girls' average if the 20 boys in the 30-student class had an average of 62%, and the class average was 70%.
Weighted averageThe class average is the weighted average of the boys' score and the girls' score. The weights are the fraction of students of each gender.
class average = (1/3)(girls' average) +(2/3)(boys' average)
Girls' averageSolving this equation for the girls' average, we get ...
(1/3)(girls' average) = (class average) -(2/3)(boys' average)
girls' average = 3(class average) -2(boys' average)
girls' average = 3(70%) -2(62%) = 210% -124%
girls' average = 86%
__
Alternate solution
The sum of differences from the class average must be zero. The boys' average is 8 points below the class average, and there are 2 times as many boys as girls. Thus, compared to the girls, the boys contribute a total of 2·8 = 16 points below the class average. The girls must counter by having an average 16 points above the class average: 70+16 = 86.
Nguyen needs bags of stones to put in his garden. He has
390 square feet to cover in his garden. He paid $95.26 for all the bags
he needed to cover the garden. If he paid $4.33 for each bag of
stones, how many bags did he purchase?
label optional
22
How many square feet of the garden did each bag cover? Round your
answer to the thousandths.
Answers
Yes the acceptable move that proves the two equation are equivalent.
What is equivalent equation?
Equivalent equation are algebraic equations that have identical solutions or roots. Adding or substracting the same number or expression to both side of an equation produce an equivalent equation.
Sol-
By observing both equation.
In equation A : -3(x+9)=18
Divide the equation A by -3
=> (x+9)=-6
And this result equals to equation B
Hence both equation are equivalent
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1. Solve -4(3x - 7) = 40 for x.
x=-1
x = 3.92
x= -3.92
X = 1
Answers
Answer: x=-1
Step-by-step explanation:
1. -4(3x-7)=40
2. -12x+28=40
3. -12x=12
4. x=-1
0.95 x 0.22 help pls??
Answers
Need help with this question please
Answers
Answer:
B
Step-by-step explanation:
[tex] {x}^{6} \times {x}^{2} = {x}^{6 + 2} = {x}^{8} [/tex]
