Answer:
21.3 m
Step-by-step explanation:
Suppose 7x-5 M=- 3 x-8 and NE 2 2 x - 5 x - 50 X - 14 x +40 and you want to add the fractions M and N, in other words you want to compute 7x-5 3 x - 8 2 x - 5 x - 50 x - 14 x + 40 and simplify the result. We know that, before you can add the fractions, you must find a common denominator and rewrite each fraction so it has that common denominator. Once the rewritten fractions have the same denominator, you can add them and simplify the result.
There are four text boxes below. In the first text box, enter a common denominator for the two fractions. In the second text box, rewrite M so that it possesses the common denominator you found. Note that your entry in this text box should equal M, however it should have the common denominator you found. In the third text box, rewrite N so that it possesses the common denominator you found. In the last text box, compute your simplified answer for M N . Make sure that your answer is simplified; the numerator and denominator of your answer for M N should not have common factors. Note that your entry for the common denominator should be a polynomial with integer coefficients. Your other three entries should be fractions that contain polynomials. All of your answers should contain no letters other than the variables that appear in M and N. Do not include an equals sign with any of your answers. All of your expressions should be mathematically correct and not contain non-mathematical symbols. After entering your answers, click the Save Answer button. Your computer will display how your answers were interpreted, and you will have the opportunity to accept these answers or modify them.
Enter a common denominator for M and N here:
Enter M rewritten here:
Enter N rewritten here:
Enter your simplified result here:
Answer:
[tex](a)[/tex] [tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
[tex](b)[/tex] [tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
[tex](c)[/tex] [tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
[tex](d)[/tex] [tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
Step-by-step explanation:
Given
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Solving (a): A common denominator of M and N.
To do this, we simply get the LCM of both denominators
[tex]M = x^2 - 5x - 50[/tex]
[tex]N = x^2 - 14x + 40[/tex]
Factorize both:
[tex]M = (x - 10)(x + 5)[/tex]
[tex]N = (x- 10)(x - 4)[/tex]
The LCM is
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
Hence, the common denominator is:
[tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
Solving (b): Rewrite M
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
Factor the denominator:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of M by (x - 4)
The expression becomes:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}[/tex]
[tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
Solving (c): Rewrite N
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Factor the denominator:
[tex]N = \frac{3x - 8}{(x-4)(x-10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of N by (x + 5)
The expression becomes:
[tex]N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}[/tex]
[tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
(d) Solve M + N
[tex]M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
Take LCM
[tex]M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}[/tex]
Open brackets
[tex]M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}[/tex]
Collect Like Terms
[tex]M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}[/tex]
[tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
PLEASE HELP WILL GIVE BRAINLIEST "Find the value of f, correct to two decimal places."
Answer:
5.93 is the answer....
Hope it helps!!!
A person places $13900 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer
hmm
Step-by-step explanation:
Answer:Can u explain more i odnt understand it pelase
Step-by-step explanation:
Let's say we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking a yellow marble, keep it, and then
picking a blue marble?
A 1/12
B 1/30
C 1/36
D 1/11
Explain how to solve 5x^2-3x=25 by completing the square. What are the solutions?
Answer:
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
Step-by-step explanation:
We do completing the square as follows:
1. Put all terms with variable on one side and the constants on the other side.
5x^2 - 3x = 25
2. Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
3. Inside the parentheses, we add a number that would complete the square and also add this to the other side of the equation. In this case we add 9/100 and on the other side we add 9/20.
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
4. We simplify as follows:
5(x^2 - 3x/5 + 9/100) = 25 + 9/20
5(x - 3/10)^2 = 509/20
(x - 3/10)^2 = 509/100
x1 = √(509) /100 + 3/10
x2 = -√(509) /100 + 3/10
please could i have help with this i get 336m and its not one of the choices
Please, What is the answer?
Explanation:
You can verify this by plugging each root into the equation.
So for instance, plug in x = -2 and we get
f(x) = -3*(x+2)*(x-sqrt(3))*(x-4)
f(-2) = -3*(-2+2)*(-2-sqrt(3))*(-2-4)
f(-2) = -3*(0)*(-2-sqrt(3))*(-2-4)
f(-2) = 0
This verifies x = -2 is a root.
All that matters is that zero buried in there in the second to last step. Multiplying 0 by anything leads to 0. The other roots are verified in the same manner. The -3 out front is the leading coefficient.
----------------
Extra info:
Choice B is eliminated because (x+3) being a factor implies that x = -3 is a root. But this isn't listed in the instructions.Choice C is a similar story to choice BChoice D is eliminated since -sqrt(3) is not one of the listed roots, so (x+sqrt(3)) is not a factor.What is the total surface of the pyramid in square centimeters? A: 17.5 B:70 C:140 D:35
Answer:
C:140
Step-by-step explanation:
because 7 x 5 in the tiangle.
Which expression is equivalent to b less than 50?
A 50b
B b - 50
C 50/b
D 50 - b
Answer:
50-b
Step-by-step explanation:
Whatever letter/number it begins with, it's that minus the second letter/number.
Find the measure of the angle indicated in bold
Is tu parallel to vw? Explain.
O no, because both lines have a slope of
no, because the slopes of the lines are not equal
O yes, because both lines have a slope of 2
O yes, because the slopes of the lines are not equal
Answer: C
Step-by-step explanation:
Answer:
C. yes, because both lines have a slope of 2/3
Step-by-step explanation:
Someone please help me answer this!!
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
25x-25y
Step-by-step explanation:
The distributive property tells us how to solve expressions in the form of a(b + c).
So, a*b and a*c would be the answer.
25*x and 25*y
Good luck on your assignment. :)
Answer:
=25x−25y
Step-by-step explanation
what is X please help 5x - 13.75 = 20
Answer:
X= 1.25
13.75 + 5= 18.75
20 - 18.75= 1.25 OR 1.25 + 18.75 = 20
Step-by-step explanation:
60 Benjamin bought 6.2 pounds of rice. Each pound cost
$0.90. How much did he spend on rice?
Answer:
.9x 6.2= $5.58
.............
which of the following statements is true?
Answer:
i think its b
Step-by-step explanation:
Answer:
jjjjjk
Step-by-step explanation:
WILL GIVE BRAINLIEST
find the missing length
Answer:
Correct Answer is A. 3 times root 5.
Step-by-step explanation:
We all know that in a right angled triangle, the square of both sides is equal to the square of hypotension.
hence,
a^2 + b^2 = c^2
a^2 + (2)^2 = (7)^2
a^2 + 4 = 49
a^2 = 49-4
a^2 = 45
a = root of 45 which is 6.7082
which can be written as 3 times root 5
Which pair of triangles can be proven congruent by SAS?
Answer:
top choice
Step-by-step explanation:
For SAS, you need a side followed by an angle followed by another side of one triangle to be congruent to the corresponding parts of another triangle.
The top choice shows side-angle-side.
The middle choice shows angle-side-angle.
The bottom choice shows side-side-side.
Answer: top choice
A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
B. 95% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.
C. 95% of the students in this high school sleep between 6.73 and 7.67 hours per day.
D. A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95% of the time.
Answer:
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI from a sample of 50 students is (6.73, 7.67).
This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
What is confidence interval ?confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Here given that 95% confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
To learn more about confidence interval visit :
https://brainly.com/question/15712887
what is the median of 6 8 10 12 12 15 15 20?
Answer:
I think is 12..........
Answer:
It‘s either 12 or 12.5
Step-by-step explanation:
I will give you brainliest whoever answers correct first !!
Answer:
34.4
Step-by-step explanation:
(54/11) --> ratio of one side of the larger triangle to the smaller one multiplied by 7 = 34.36363636... Rounding it to the nearest tenth is 34.4
In a sale the price of a bike is reduced by 40% the sale price of the bike is £192 how much did the bike cost before the sale?
1. The sum of two numbers is 64. One of the numbers is 16 more than 3 times the other. Find the
two numbers.
Answer:
The two numbers are 52 and 12.
Step-by-step explanation:
x+y=64
x=16+3y
Now, substitute the second equation into the first one.
16+3y+y=64
16+4y=64
4y=48
y=12
Substitute 12 into one of the equations in order to find x.
x=16+3(12)
x=16+36
x=52
Answer the question
-17-x=8 pls answer bc I'm deparet
Answer:
x= -25
Step-by-step explanation:
Do 8 plus 17=25
x must be positive so -25
1. A bag of 12 oranges costs $2.99. What is the cost per orange?
2. 4 slices of pizza cost $10.50. At this rate, what is the cost of 10 slices of pizza?
3. 4 pieces of candy cost $0.99. At this rate, what is the cost of 7 pieces of candy?
Answer:
1- $ 0.25.
2- $ 26.25.
3- $ 1.73.
Step-by-step explanation:
1- Given that a bag of 12 oranges costs $ 2.99, to determine what is the cost per orange, the following calculation must be performed:
2.99 / 12 = X
0.249 = X
Thus, the cost of each orange is $ 0.25.
2- Given that 4 slices of pizza cost $ 10.50, to determine what is the cost of 10 slices of pizza at this rate, the following calculation must be performed:
10.5 / 4 x 10 = X
2.625 x 10 = X
26.25 = X
Thus, the cost of 10 slices of pizza is $ 26.25.
3- Given that 4 pieces of candy cost $ 0.99, to determine what is the cost of 7 pieces of candy at this rate, the following calculation must be performed:
0.99 / 4 x 7 = X
0.2475 x 7 = X
1.7325 = X
Thus, the cost of 7 pieces of candy is $ 1.73.
Re-order the premises in each of the arguments to show that the conclusion follows as a valid consequence from the premises. It may be helpful to rewrite the statements in if-then form and replace some statements by their contrapositives. Exercises are adapted from Symbolic Logic by Lewis Carroll.
1. When I work a logic example without grumbling, you may be sure it is one I understand.
2. The arguments in these examples are not arranged in regular order like the ones I am used to.
3. No easy examples make my head ache.
4. I cant understand examples if the arguments are not arranged in regular order like the ones I am used to.
5. I never grumble at an example unless it gives me a headache. These examples are not easy.
Answer:
Step-by-step explanation:
1. If I do not grumble while doing the logic exam, then it is because I understand the questions.
2. If the arguments are not arranged in regular order, then I will not be used to these examples.
3. If my headaches, then it is probably because it is not an easy example.
4. If the arguments are not arranged in regular order like I am used to, then I will not be able to understand them.
5. If the example is not easy and I am grumbling, then it is because it is giving me a headache.
find the value of u in paralellogram
Answer:
34
Step-by-step explanation:
2u=u+34
2u-u=34
u=34
Answer:
Step-by-step explanation:
2u = u + 34
u = 34
(a) Angela and Barbra decided to start a business together. Angela invested $24000 and Barbara invested
$16000. They share all profits in the same ratio as the money was invested. they made a
total profit of $15000 at the end of the year, how much money did each person recieve?
(b) sum of money is shared among two friends in the ratio 4:9. If the smaller amount is $560, find the
larger amount.
(c) The sum $4500 is divided among Anesha, Sian and Joanne. Sian received half, Anesha received $1050
and Joanne recieved the remainder. Calculate:
i. Sian's share
ii. Joanne's share
iii. The ratio in which the $4500 was divided among the three persons in simplest form.
9514 1404 393
Answer:
(a) A : B = $9000 : $6000
(b) $1260
(c) A : S : J = $1050 : $2250 : $1200 = 7 : 15 : 8
Step-by-step explanation:
(a) The investment ratio is ...
Angela : Barbara = 24000 : 16000 = 3 : 2
The profit of 15,000 goes 3/(3+2) = 3/5 to Angela, and 2/5 to Barbara:
Angela's share: (3/5)($15,000) = $9,000
Barbara's share: (2/5)($15,000) = $6,000
__
(b) We can multiply the ratio by $140 to see the larger amount:
4 : 9 = ($140)(4) : ($140)(9) = $560 : $1260
The larger share is $1260.
__
(c) Sian gets (1/2)($4500) = $2250. Anesha gets $1050. So Joanne gets ...
$2250 -1050 = $1200
Then the shares are ...
i. Sian: $2250
ii. Joanne: $1200
iii. Ratios: A : S : J = 105 : 225 : 120 = 7 : 15 : 8
Side 2. What is the sogel
What is the slope between the
points (2, 150) and (5,375)?
Answer:
75
Step-by-step explanation:
Use the slope formula (rise/run):
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
(375 - 150)/(5-2) = 225/3 = 75