Answers
======================================================
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
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
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
Answer:
B
Step-by-step explanation:
0-o
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
which of the following is a point on the graph of y=(1/2) ^x
Answers
(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
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
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
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
14
Select the decimal that is equivalent to
40
Answers
Answer
40% = 0,4
ExplantionDivide 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
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.
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
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:
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]
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:)
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
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:
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:
What is the value of x ?
Answers
Answer:
720
Step-by-step explanation:
you just need to multiply
Complete 4 A,B 9 for points.
Answers
Answer:
R = (1/t) (A/P - 1)
T = (1/r) (A/P - 1)
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
☺️☺️☺️☺️☺️☺️help please and thank you:)
Answers
Answer:
the anwser is a
Step-by-step explanation:
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 1000 + 903 efwkfhawrjkarlvkjvheargjdvbejeqbgjvkdsfbwrilcjeabjesbwelvkjabvwelrgkjahfhfwahfsaldkjfasdjfhsakdflsadjfshadjkfsahsaduhfaewsfhiaowsadlkffhsdflksfahflksadfsalslkfdlahsfaweiofwahfesdfdsakfsak;falskhfdsadfojanefwuhrohafdhsd,fesuighfdsdhasfl;sfkdsdguegreffjsafakslfdsdfhfdsaklfawfieow
Answers
Answer:
1903
Step-by-step explanation:
Answer:
the answer is 1903
Step-by-step explanation:
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
Find the value of this expression if x = -1. x^2+7/x+5 please help !
Answers
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
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
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
Answer: D because debt is classed as a liability
Step-by-step explanation:
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.
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%
