simplificar a²-1 /a²-a

Answers

Answer 1
Since a^2-b^2 can also be written as (a+b)(a-b), we can do that with a^2 and 1^2 to get (a+1)(a-1). For the denominator, a is clearly in both, so we factor that out to get a*(a-1), resulting in ((a+1)(a-1))/((a)(a-1)). Crossing out the a-1, we get a+1/a

Related Questions

Help me asap!!

To the nearest percent, what is the probability of rolling a 4 on the number cube?

Answers

P(rolling a 4)= 1/6 or 16.6%
If it is a six-sided die, the probability is 16.66%

5 rubber stamps cost $9.70 Which equation would help determine the cost of 11 rubber stamps?

Answers

(9.70÷5) *11

This would give $ 21.34
Divide 9.70 by 5, this gives you the price of one stamp, to find the price of 9 stamps, times this number by 9

Drag a reason to each box to complete the flowchart proof.

Answers

From linear pair postulate, if two angles are in linear pair, then they are supplementary.

Also, the definition of supplementary angles states that the sum of the angles is 180 degrees.

Hence, the correct option is Definition of supplementary angles.

Is this a funtion? Explain.

Answers

No .When graphed, the do not match the ideal function.
As long as the x value isn't repeated for two different y values then it is a function, so yes that is a function.

6/10 in simplest form

Answers

the  answer would be3/5
Divide both the numerator and the denominator by their GCF, which is 2 in this case.

6/2=3
10/2=5

Final answer: 3/5

5 1/2 ft equals how many inches

Answers

5 1/2 ft equals 66 inches
5 1/2 feet = 66 inches.

number of different 5 digit combinations if successive digits msut be different

Answers

for the first digit you have 10 options (0..9).
For each next digit you can't choose the same digit, so you have 9 options.

So number of combinations is 10*9*9*9*9 = 65610

The permutations formula is applied to determine the number of different 5-digit combinations where successive digits must be different, resulting in a total of 30,240 combinations.

Permutations are used when the order of elements matters. In this case, the number of different 5-digit combinations where successive digits must be different can be calculated using the permutations formula.

Identify that we need to use permutations due to the order of elements being important.Calculate the number of possibilities for each digit decreasing by 1 with each selection. For a 5-digit number, it would be 10 choices for the first digit, 9 for the second, 8 for the third, 7 for the fourth, and 6 for the fifth.Calculate the total number of combinations by multiplying the number of choices for each digit together: 10 x 9 x 8 x 7 x 6 = 30,240.

This has really gotten confuzzing for me. SOS

Answers

For stock A, the equation is y=15.54+0.11x where x is the number of hours.
For stock B, the equation is y=16.04-0.09x where x is the number of hours.

We're trying to find when they will be equal.
15.54+0.11x=16.04-0.09x
1554+11x=1604-9x
1554+20x=1604
20x=50
x=2.5

Final answer: About 2.5 hours

let number of hours = x

1st equation is 15.54+0.11x

2nd equation is 16.14-0.09x

now calulate x so the 2 equations are equal:

15.54+0.11x=16.04-0.09x

mutiply evrything by 100 to get rid of the decimal points andmake the calculations a little easier


1554+11x=1604-9x

add 9 x to both sides:
1554+20x=1604

subtract 1554 from both sides:
20x=50

divide 50 by 20 for x
x=50/20 = 2.5

x = 2.5

 so they were the same after 2.5 hours

If Susan subtracts 11 from one-fourth of her number she gets 11

Answers

Final answer:

Susan's number is found by solving the equation x/4 - 11 = 11, which after isolating the variable and multiplying both sides by 4 yields the answer x = 88.

Explanation:

If Susan subtracts 11 from one-fourth of her number, she gets 11. To solve this problem, we set up an equation where x represents Susan's number. The one-fourth of her number would be x/4, and subtracting 11 from one-fourth of her number yields: x/4 - 11 = 11.

To find x, we first isolate the variable on one side by adding 11 to both sides of the equation, so we have x/4 = 22. Next, we multiply both sides by 4 to solve for x: x = 22 * 4. Therefore, Susan's number is 88.

what is y=-3x+4 and y=3x-2

by using transitive property

Answers

Answer: -3x+4 = 3x-2 or 3x-2 = -3x+4
We can flip an equation to have it mean the same thing. Example: x = 5 is the same as 5 = x

The transitive property is the idea where if a = b and b = c, then a = c. Think of it as connecting a chain. Or taking a shortcut. If we know a leads to b, and b leads to c, then we can skip b all together and go from a directly to c. 

Same idea applies here: we have -3x+4 equal to y, and y also equal to 3x-2 so -3x+4 = 3x-2
y-(-3 times X)-4=0
y-(3 times X) + 2=0
3 times X+y-4=0\ -3 times X -4
y= -(3 times X-4
y=4-(3 times X)
2-( 3 times X)- (3 times X)+4=0
y=4-(3 times X)
6-6 times X =0 \-6
-6 times X= -6 \ : -6
X= -6\(-6) X=1
y=4 - (3 times 1)
y=4-3
The answer is y=1

HOPE IT HELPS:)

can 50 go into 100 and 250

Answers

yes:

100/50 = 2

250/5 = 5

Lines AB and EB share a common point at B therefore we say that these lines

Answers

2 lines in a plane can have these positions:

i) they can be parallel, if they share no common point.

ii) are intersecting, if they have one common point.

ii) they are coincident if they have 2 common points.


AB and EB share 1 common point, B, therefore they are Coincident.

Lorelle pays someone $35 to clear her driveway when it snows. She wants to buy an electric snow blower for $689 so that she can clear her own driveway. If the area Lorelle lives in has an average of 5.2 snowfalls each season, how many seasons will it take her to break even on what she spends for the snow blower?

Answers

Hello There!

The correct answer is 4.

Hope This Helps You!
Good Luck :)

It would take 20 sessions to break even on what she spends for the snow blower.

The cost of the snow blower is $689, hence:

Cost = $689

Let x represent the number of sessions, Since $35 is paid to clear the driveway, hence:

Revenue = 35x

At breakeven:

Cost = Revenue

35x = 689

x = 20 (to nearest whole number)

Hence it would take 20 sessions to break even on what she spends for the snow blower.

Find out more at: https://brainly.com/question/15172639

When a number x is multiplied by 6, the result is 3/8 . What is the value of x? Drag and drop the correct number into the box so that the equation is true.

Answers

Your answer is 1/16 
(X×6)/6 =3/8
(X×6)/6 =(3/8)/6

Last year at this time we had 250 employees. Due to attrition , we lost 12% of our workforce. How many employees are working now

Answers

Answer: There are 220 employees working now.

Step-by-step explanation:

Hi, to answer this question, first, we have to multiply the number of employees by the percentage in decimal form.

12% = 12/100= 0.12 (decimal form)

So, mathematically speaking:

250 x 0.12 = 30 employees less

Finally, we subtract the number obtained to the initial number of employees.

250 -30 = 220 employees.

There are 220 employees working now.

Feel free to ask for more if needed or if you did not understand something.

Find the equation of the line (3,-2) and parralel to the line containing the points (-2,4) and (-4,-2).

Answers

Since the slope of a line is (change in y)/(change in x), we can plug (-2, 4) and (-4, -2) in to get (-2-(-4))/(4-(-2))=(-2+4)/(4+2)=2/6=1/3, making our equation 
y=(1/3)x+b from y=mx+b. Plugging (3, -2) in from there, we get -2=(1/3)*3+b=1+b. Subtracting 1 from both sides, we get b=-3, making our equation y=(1/3)x-3 due to that y and x stay variables



84, 99, 88, 82, 95, 85

Myra's test scores are shown. She has one more test for the semester. What is the minimum score that she can make on her last test and have an average greater than 90?

Note: All scores are whole numbers and scores are not rounded

a. 95
b.96
c.97
d.98

Answers

(84+99+88+82+95+84+98)/7 = 90 , so 98, or D. 

Answer:

Option: d is the correct answer.

               d. 98

Step-by-step explanation:

The scores of Myra's test are as follows:

               84, 99, 88, 82, 95, 85

Let 'x' be the minimum  score that is obtained by Myra in the last test so that the average is greater than 90 marks.

i.e.

[tex]\dfrac{84+99+88+82+95+85+x}{7}>90\\\\\\i.e.\\\\\\\dfrac{533+x}{7}>90\\\\\\i.e.\\\\\\533+x=90\times 7\\\\\\533+x>630\\\\\\x>630-533\\\\\\x>97[/tex]

Hence, the minimum score has to be 98.

(   Since, the scores are in whole number )

For his parents’ anniversary, Danny spends $5.87 on a photo.He also buys a balloon for $2.49 and a box of strawberries for $4.50. How much money does he spend all together

Answers

$12.86 all you need to do is add all the individual prices. 

The total amount of money spent by Danny is [tex]\fbox{\$12.86}[/tex].

Further explanation:

Given:

Danny spends $5.87 on a photo, $2.49 for balloon and $4.50 on strawberries.

Calculation:

Consider the total money spent as [tex]S[/tex], money spends on photo as [tex]x[/tex], money spends on balloons as [tex]y[/tex] and money spend on strawberries as [tex]z[/tex].

Total money spent [tex]S[/tex] is written as the sum of the money spent on photo [tex]x[/tex], balloons [tex]y[/tex] and strawberries [tex]z[/tex] as follows:

[tex]S=x+y+z[/tex]                                                                        …… (1)

Substitute, 5.87 for [tex]x[/tex], 2.49 for [tex]y[/tex] and 4.50 for [tex]z[/tex] in equation (1) to obtain the total money spent by Danny as follows:

[tex]\begin{aligned}S&=5.87+2.49+4.50\\&=8.36+4.50\\&=12.86\\\end{aligned}[/tex]

Thus, the total amount of money spent by Danny is [tex]\fbox{\$12.86}[/tex].

Learn more:  

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}  

https://brainly.com/question/1632445  

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12  

https://brainly.com/question/1473992  

3. what are the domain and range of the function f(x) = 3x + 5?  

https://brainly.com/question/3412497  

Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:

Money, Danny, anniversary, photo, balloon, strawberries, dollar, spent, x+y+z, function, substitution, direct substitution, elimination, graph, middle term factorization, scientific notation.

Use the graph of f to estimate the local maximum and local minimum. (5 points)

Answers

the one under the one you picked but im not 100% sure

Answer:

Local maximum: (0,1)  

Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]

Step-by-step explanation:

To estimate the local maximum and local minimum using graph.

Local maximum: It is largest value of function for all other values of function near by.

Local minimum: It is smallest value of function for all other values of function near by.

A function has two extrema maxima or minima.

Please see the attachment for graph.

In graph highest point only 1, Only one local maximum at x=0

Local maximum: (0,1)

In graph two lowest point at [tex]x=-\pi\text{ and }x=\dfrac{3\pi}{2}[/tex]

Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]

Hence, Local maximum: (0,1) ; Local minimum: [tex](-\pi,-1)\text{ and }(\dfrac{3\pi}{2},-1)[/tex]

Multiply: 3x4(4x4 − x5 + 2) 7x8 − 3x9 + 6x4

Answers

There is something wrong on your question
It's not clear

When is the sum to two negative mixed numbers an integer?

Answers

When the fraction add up to full integer for examples two halves make up a whole so the mixed number with those will add up to full integer. Plz mark as brainlest
integers are like -4,-3,-2,-1,0,1,2,3,4,5 etc

so we can't have fractions

the fraction parts of the mixed numbers must add to -1 (because they are negative mixed numbers)

when the fraction parts of the mixed numbers add to -1, the sum of 2 mixed numbers is an integer

17. A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as a percent? Show your work.

Answers

2300 * 100
-------------  =   51.1 %
   4500

The acceptance rate of the students is 51.1%.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a local university accepted 2,300 students out of 4,500 applicants for admission.

The acceptance rate will be calculated as,

Acceptance rate  = ( 2300 x 100 ) /4500

Acceptance rate  =   51.1 %

Therefore, the acceptance rate of the students is 51.1%.

To know more about percentages follow

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2. AB and DE are parallel. Angle BAC = 30 , angle CDE = 50. What is the measure of angle ACD?

A. 100
B. 90
C. 80
D. 70
E. cannot be determined from the information

Answers

The correct answer is C. 80

The correct answer is c


A rectangle has a perimeter of 16 inches.

What dimensions (length, width) could be the dimensions of the sides?

A. (8, 0)
B. (2, 12)
C. (6, 2)
D. (13, 3)
E. (3, 10)

Answers

C, (6,2) 6x2=12 2x2=4 12+4=16

option C: (6, 2).

The student has asked for the possible dimensions of a rectangle given that its perimeter is 16 inches. To find the dimensions that are correct, we need to remember that the perimeter of a rectangle is calculated by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. We must check each pair of dimensions provided and see if they satisfy this equation when the perimeter is 16 inches.

A. (8, 0) - This would give us a perimeter of 2(8) + 2(0) = 16 inches, which is correct, but it is not a possible dimension for a rectangle, as having a side of length 0 inches does not make a rectangle.B. (2, 12) - The perimeter here would be 2(2) + 2(12) = 28 inches, which is not equal to 16 inches.C. (6, 2) - Checking this option, we get 2(6) + 2(2) = 12 + 4 = 16 inches. This one is correct and is a possible dimension for a rectangle.D. (13, 3) - The perimeter in this case would be 2(13) + 2(3) = 26 + 6 = 32 inches, clearly more than 16 inches.E. (3, 10) - This would give us a perimeter of 2(3) + 2(10) = 6 + 20 = 26 inches, which also does not equal the 16-inch perimeter required.

Therefore, the only possible dimensions for the rectangle given the choices provided and where both dimensions are greater than zero is option C: (6, 2).

A rectangular pool is 30 1/3 feet long and 12 1/2 feet wide what is the area of the pool

Answers

Area=l*b = 379.16feet^2
First multiply 30 1/3 and 12 1/2 together to get 379.17 ft squared. there's your answer.

If a transformation moves points only up or down, how do the coordinates of the point change? What can you conclude about the coordinate nation for the transformation

Answers

There are different coordinate systems the commonest being the system of latitudes, longitudes, and ellipsoidal heights, and the situation is complicated because the latitudes and longitudes of the same point differ slightly depending on the geodetic coordinate system of a nation,the result being that different system of latitude and longitude in use for the same point can disagree in coordinates sometimes by more than 200 meters.

X Y
-2 5
-1 3
0 1
1 -1
2 -3

Find the explicit formula and the type of function

Answers

Just by looking at it, we can see that y decreases by 2 for every x value, so it's 
a (a can be any real number)-2x (it's -2 multiplied by x because it decreases by 2). Plugging it in for 0, we get a-2*0=1, and a=1, making the explicit function 
y=-2x+1. Since a linear equation is in the form y=mx+b (with m and b both representing any number), this fits the description.

3(x+1)^(4/3)=48

how do i solve this?

Answers

[tex] 3(x+1)^{\frac{4}{3}}=48\\\\\frac{3(x+1)^{\frac{4}{3}}}{3}=\frac{48}{3}\\\\(x+1)^{\frac{4}{3}}=(x+1)^{(\frac{1}{3}*4)}=\sqrt[3]{(x+1)^{4}}=16\\\\(\sqrt[3]{(x+1)^{4}})^{3}=16^{3}\\\\(x+1)^4=4096\\\\\sqrt[4]{(x+1)^4}=\sqrt[4]{4096}=\pm8\\\\\\x+1=\pm8\\\\x+1=8\\x=7\\\\x+1=-8\\x=-9[/tex]

Your answers are x = 7 and x = -9.

How many ounces are in 4 pints

Answers

1pint equals 16 ounces, simple conversion!
1 pint equals 16 ounces so just add 16 4 times so do 16 time 4 which is 64 so there arr 64 ounces in 4 pints

Solve and find the measurement for angle B

Answers

Angle A and B should be equivalent (notice the two parallel lines intersecting the third)

8x+6=4x+38
4x+6=38
4x=32
x=8

Now plug in the value of x
4(8)+38
32+38
70

Final answer: 70 degrees
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