what is the sum 3/x^2-g + 5/x+3

What Is The Sum 3/x^2-g + 5/x+3

Answers

Answer 1
Answer: Choice D) [tex]\frac{5x-12}{(x+3)(x-3)}[/tex]

======================================================

Work Shown:

[tex]\frac{3}{x^2-9} + \frac{5}{x+3}\\\\\frac{3}{x^2-9} + \frac{5(x-3)}{(x+3)(x-3)}\\\\\frac{3}{x^2-9} + \frac{5x-15}{x^2-9}\\\\\frac{3+5x-15}{x^2-9}\\\\\frac{5x-12}{x^2-9}\\\\\frac{5x-12}{(x+3)(x-3)}\\\\[/tex]

The idea is to get the denominators to be the same to the LCD (lowest common denominator). Note in step 2, I multiplied top and bottom by (x-3) to get this done. Then in step 3, I used the difference of squares rule to get x^2-9. Afterward, we can combine the fractions and like terms.


Related Questions

☺️☺️☺️☺️☺️☺️help please and thank you:)

Answers

Answer:

the anwser is a

Step-by-step explanation:

Mr. Franco's records show that 44% of his students bring their own lunches to school. What is the percent and decimal of the students who DO NOT bring their own lunches.

Answers

Answer:

Percentage 56%

Decimal 0.56

Step-by-step explanation:

As percentages are out of 100, to work out the people who did not bring their own lunches you would simply minus the percentage of people that do which is 44 by 100, this gives you 56. this is because subtracting it from 100 we are removing the people that did from the total and so will leave us with the percentage of people that did not.

To work out the percentage who did not bring in their own lunches as a decimal you would divide the percentage of 56 by 100, this gives you 0.56. This is because percentages are out of 100%.

1) Minus 44 from 100.

[tex]100-44=56%[/tex]

2) Divide 56 by 100.

[tex]56/100=0.56[/tex]

Complete 4 A,B 9 for points.

Answers

Answer:

R = (1/t) (A/P - 1)

T = (1/r) (A/P - 1)

The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.



C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?



{I only need help on part C}

Answers

Answer:

The mean value = $80.5

Step-by-step explanation:

The value of her last six spendings are $109, $72, $99, $15, $99, and $89.

For the mean.

Mean = Total spendings/number

Mean =483/6

Mean = $80.5

For the median.

Lets arrange it in ascending order

$15 ,$72, $89, $99, $99, $109

The middle values are two.

Median = (89+99)/2

Median = 188/2

Median = $94

For the mode

$15 ,$72, $89, $99, $99, $109

Highest occuring is $99 with two frequencies.

To convince her parents that she needs an increase in allowance she would show them the bigger spendings .

So the least value on the list it's mean value which is $80.5.

Solve this system of equations using substitution:
y = 2x - 4
x + 2y = 10

Answers

Answer:

x + 2y = 10 = x + y = 5

Step-by-step explanation:

x + 2y = 10

divide 2 by 10

x + y = 5

This is all I really know how to do sorry  

Find the value of this expression if x = -1. x^2+7/x+5 please help !

Answers

The answer is -3.

Plug the x into the expression-

x=-1
x^2+7/x+5

-1^2+7/-1+5
-1+7/(-1)+5
-1-7+5
-8+5
-3

Answer:

The answer is 2.

Step-by-step explanation:

Plug in the numbers into the expression.

(-1)^2+7/(-1)+5

1+7/-1+5

8/4 or 2

Simplify (2a – 5)2 using the square of a binomial formula.
Question 20 options:

A)

4a2 – 20a + 25

B)

4a2 – 25

C)

4a2 – 10a + 25

D)

4a2 + 25

Answers

I’m not sure about the answer but I know it wouldn’t be D because it’s positive. I think it maybe B though. Hope this helps!

Answer:

B

Step-by-step explanation:

0-o

Need help on this, if it’s right I’ll make it brainliest

Answers

Answer:

(0,2)/(4,5)

Step-by-step explanation:

Im Pretty Sure That's Correct.

-1/2 (-5/6+1/3)=????

Answers

Answer:

1/4

Step-by-step explanation:

5/12-1/6

1/6=2/12

5/12-2/12=3/12=1/4

Answer:

1/4 or 0.25

Step-by-step explanation:

which of the following is a point on the graph of y=(1/2) ^x

Answers

Points on the graph of y = (1/2)^x :
(1, 1/2)
(2/1/4)
(3/1/8)

Answer:

The answer is (2, 1/4)

Step-by-step explanation:

I inputted the equation on a graphing calculator

Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?

Answers

Answer:

$63 is the answer

Step-by-step explanation:

100-37=63

Choose the function to match the graph.

f(x) = log x + 2
f(x) = log x - 2
f(x) = log (x + 2)
f(x) = log (x - 2)

Answers

Answer:

C; f(x)=log(x+2)

Step-by-step explanation:

Can Someone PLEASE Help ME!

Answers

Answer:

A. 4 Feet 1/2 inches

Step-by-step explanation:

54/12=4.5

Answer:

4 ft 6 inches

Step-by-step explanation:

we know that 12 inches is 1 ft

24 inches is 2 ft

36 inches is 3 ft

48 inches  is 4 ft

60 inches is 5 ft

So 4 ft

54 - 48 = 6 left over

4 ft 6 inches

There is a population of 1,000 bacteria in a colony. If the number of bacteria doubles every 4 minutes, what will the population be 8 minutes from now? Please help me I might Fail Algebra.

Answers

Answer:

the population will be 16,000

The average age of people attending a concert was 23 years old, with a standard deviation of 7. What percentage of people at the concert were older than 37 years old?

Answers

Answer:

2.28%

Step-by-step explanation:

We have that the mean (m) equals 23 and that the standard deviation (sd) is 7.

We can calculate the value z and in this way we can calculate the probability in this case with the calculation of the normal distribution table:

z = m - x / sd

we know that x is 37, replacing:

z = (23 - 37) / 7

z = -2

according to the normal distribution table the value of z = -2, is equivalent to 0.0228

So the probability is 2.28%

The sum of two numbers is −21. One number is 55 less than the other. Find the numbers.

Answers

Answer:

x = 17     y= -38

Step-by-step explanation:

x + y = -21

y = x - 55

It doesn't matter whether x or y is 55 less than the other right now.

substitute for y:

x + x - 55 = -21

solve for x:

2x = 34

x = 17

solve for y:

17 + y = -21

y = -38

Find the slope of the line

Answers

Answer:

A) 3/2

Step-by-step explanation:

slope of the line equation:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-3 , -3)

(x₂ , y₂) = (1 , 3)

Plug in corresponding numbers to the corresponding variables:

m = (3 - (-3))/(1 - (-3))

Simplify:

m = (3 + 3)/(1 + 3)

m = (6)/(4)

m = 3/2

A) 3/2 is your slope.

~

Answer:

the answer is three over two 3/2

Step-by-step explanation:

the equation is

Ya-Yb

divided by

Xa-Xb

so basically:

-3-3/-3-1

Which of the following items would not be classified as an asset?
A. CD Investment
B.Electric guitar
C. Savings account
D. Credit card debt

Answers

D because debt is classed as a liability

Answer: D because debt is classed as a liability

Step-by-step explanation:

20. (x, y) → (x + 3. y - 6)

Answers

Answer:

Step-by-step explanation:

The indicated operation will do two things:  1) translate the relevant graph 3 units to the left and 2) translate it 6 units down.

How many 1/4 pound
hamburgers can be made
from 2 1/2 pounds of ground
beef?

Answers

Answer:

9 hamburgers

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] × 2 = [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2}[/tex] × 5 =[tex]2\frac{1}{2}[/tex]

[tex]\frac{1}{4}[/tex] × 9 =2 [tex]\frac{2}{4}[/tex]     2

,so 9 hamburgers can be made

We need to find the number of quarter pound hamburgers that can be made from given the amount of ground beef.

10 quarter pound hamburgers can be made.

The amount of ground beef available is [tex]2\dfrac{1}{2}[/tex] pounds.

One hamburger has a mass of [tex]\dfrac{1}{4}[/tex] pound.

[tex]1\ \text{hamburger}=\dfrac{1}{4}\ \text{pound of beef}[/tex]

[tex]\\\Rightarrow 1\ \text{pound of beef}=4\ \text{hamburgers}[/tex]

[tex]2\dfrac{1}{2}\ \text{pound of beef}=(2+\dfrac{1}{2})\times4=10\ \text{hamburgers}[/tex]

So, a total of 10 quarter pound hamburgers can be made.

Learn more:

https://brainly.com/question/22986936

https://brainly.com/question/5606082

Patricia and John both used their credit cards to purchase $225.00 worth of gas and groceries for the month of July.
Patricia paid off her credit card transactions on the same day that she made them, while John did not. They both
received their credit card statements at the same time. Patricia's balance was zero, and she had only paid $225.00 to
the credit card company. However, John had a finance charge of $3.82 added to his balance of $225.00. Explain why
John had a finance charge and Patricia did not. Answer in complete sentences.

Answers

ever figure it out?

i have the same question

Answer:

John didnt pay off his card right away so there was a fee of $3.82

Step-by-step explanation:

what is 1000 + 903 efwkfhawrjkarlvkjvheargjdvbejeqbgjvkdsfbwrilcjeabjesbwelvkjabvwelrgkjahfhfwahfsaldkjfasdjfhsakdflsadjfshadjkfsahsaduhfaewsfhiaowsadlkffhsdflksfahflksadfsalslkfdlahsfaweiofwahfesdfdsakfsak;falskhfdsadfojanefwuhrohafdhsd,fesuighfdsdhasfl;sfkdsdguegreffjsafakslfdsdfhfdsaklfawfieow

Answers

Answer:

1903

Step-by-step explanation:

Answer:

the answer is 1903

Step-by-step explanation:

A triangle has sides with lengths of 10 centimeters, 17 centimeters, and 19 centimeters. Is it a right triangle?

Answers

Answer:

Yes

Step-by-step explanation:

19 is bigger!

Answer: No it is not a right triangle :)

1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...

Answers

Answer:

0.03

Step-by-step explanation:

Given data

Probability that it will rain on Sunday= 0.7

Probability that it will rain on Monday = 0.2

Firstly we need to solve for the probability that it will rain on Tuesday

Sample space S = number of week days = 7

Probability that I will rain on Tuesday = 1/7= 0.14

Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028

Rounding up the nearest hundredths = 0.03

Compare the fractions use greater than less than or equal

5/8 ___25/40

Answers

Answer:

it's equal=

Step-by-step explanation:

5 divided by 8 = .625, 25 divided by 40= .625

Answer:

=

Step-by-step explanation:

THEY ARE EQUAL. :)

What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!

Answers

Answer:

Step-by-step explanation:

145 = 2x + 15

2x = 130

x = 65 (ANS)

Answer:

65º

Step-by-step explanation:

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

helppppppppppppppppp

Answers

Answer:

I would say B. y = 4x + 3

Step-by-step explanation:

Because that equation is positive and going up while the other ones would be going down. i.e. positive go up while negatives go down. So your correct answer is B. y = 4x + 3

Hope this Helps. :)

Answer:

Easy.Y=4x+3

Step-by-step explanation:

Look at the point that touches the y-axis.You see it is 3.Now look at the direction the line goes,this one is going upward to the right which means it has to be a POSITIVE slope.When you can't see the point at the top,you can look downward for another point in the graph.Which in this case that other point we see is (-1,-1).Now remember,rise/run.To reach the point of the y-axis you have to go up 4 times and go right once.Which in fraction form would be 4/1 but that equals the same as just 4x.So yeah,there ya go cutie:)

If a cross section was cut that was parallel to the base of a triangular prism below a shape with that cross section be ?
A. Square
B. Triangle
C. Parallelogram
D. Rectangle

Answers

The answer is A) square
The answer would be A

What is the value of x ?

Answers

Answer:

720

Step-by-step explanation:

you just need to multiply

i think it’s 720 i’m pretty sure

14
Select the decimal that is equivalent to
40

Answers

Answer

40% = 0,4

Explantion

Divide 40 by 100

remove the 0s from both side

it will be

4 ÷ 10=

you go one step to the right and add a zero before the dot

which equal to

0.4

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