Answers
Answer:
We conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}[/tex]
Least Common Multiple of x+4, x+6: (x+4) (x+6)
Adjusting fractions based on the LCM
[tex]=\frac{\left(x+2\right)\left(x+6\right)}{\left(x+4\right)\left(x+6\right)}-\frac{\left(x-1\right)\left(x+4\right)}{\left(x+6\right)\left(x+4\right)}[/tex]
since the denominators are equal, combine the fractions:
[tex]\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
so the expression becomes
[tex]=\frac{\left(x+2\right)\left(x+6\right)-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-\left(x-1\right)\left(x+4\right)}{\left(x+4\right)\left(x+6\right)}[/tex]
[tex]=\frac{x^2+8x+12-x^2-3x+4}{\left(x+4\right)\left(x+6\right)}[/tex]
simplify
[tex]=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Therefore, we conclude that:
[tex]\frac{x+2}{x+4}-\frac{x-1}{x+6}=\frac{5x+16}{\left(x+4\right)\left(x+6\right)}[/tex]
Related Questions
Domain and Range for the function f(x)=5IXI is
Answers
Answer:
The domain of the function f(x) is:
[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
The range of the function f(x) is:
[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=5\left|x\right|[/tex]
Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:
[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.We know that the range of an Absolute function is of the form
[tex]c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
so
Thus, the range of the function f(x) is:
[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answers
Answer:
C.11
Step-by-step explanation:
By drawing the line of best fit (using the other points) you can estimate how long 14 rows will take, which is 11 minutes.
How many 3 or 8 are in 5 over 4
Please help
Answers
Answer:
[tex]3 \frac{1}{3}[/tex]
Hope this helps.
Step-by-step explanation:
What’s the answer for this?
Answers
Answer:
[tex] {y}^{3} [/tex]Step-by-step explanation:
[tex]2 {y}^{3} - {y}^{3} [/tex]
[tex] {y}^{3} \: (collect \: like \: terms)[/tex]
What is m<2?
What is m<1?
Answers
Answer:
Angle 2 = 75 degrees
Angle 1 = 105 degrees
What is 3 1/3 as a percentage and a decimal? Thank you!!
Answers
Answer:
Percentage: 333.3%
Decimal Form: 3. 3
Step-by-step explanation:
A multiple choice quiz has two questions , each with five answer choices. Only one choice is correct. Find the probability of answering two questions correctly,
. Show work
Answers
Answer:
1/25 to get both correct
Step-by-step explanation:
So the probability of getting one choice correct is 1/5
Since 5 choices 1 is correct
now we have to get 2 in a row correct so
1/5*1/5=1/25
MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing
Answers
A couplet can have an open sentence which is the deciding and the closing sentence being the acting.
Is this a right triangle??? Show work
Answers
Answer:
This is a right angle.
Step-by-step explanation:
As you can see below, the angle specified is 90 degrees. That is a right angle.
A small software development company invests $16,000 to produce a software package that will sell for $50.65. Each unit costs $8.20 to produce. How many units must the company sell to break even? How many units must the company sell to make a profit of $95,000?
Answers
Answer:
376 units and 1,857 units
Step-by-step explanation:
The computation is shown below:
The number of units that company sells to break even is
Let us assume the number of units be x
$16,000 + $8.20x = $50.75x
$16,000 = $50.75x - $8.20x
$16,000 = $42.55
x = $16,000 ÷ $42.55
= 376 units
Now in order to make the profit the number of units sold is
$50.65x - ($16,000 + $8.20x) = $95,000
$50.65x - $16,000 - $8.20x = $95,000
$42.55x = $95,000 - $16,000
$42.55x = $79,000
x = $79,000 ÷ $42.55
= 1,857 units
Solve the proportion. Round to the nearest hundredth if necessary
[tex] \frac{x + 6}{x} = \frac{10}{7} [/tex]
Answers
Have a good day
Salvador sold hats during the weekend sporting event. On Saturday, Salvador sold ( * of the total number of hats. On Sunday, he sold & ( of the total number of hats. What fraction of the total number of hats was left over?
Answers
Answer:
5/28
Step-by-step explanation:
Salvador sold hats during a weekend sporting event. On Saturday, Salvador sold 4/7 of the total number of hats. On Sunday, he sold 1/4 of the total number of hats. What fraction of the total number of hats was left over
Total number of hats = x
Hats sold on Saturday = 4/7x
Hats sold on Sunday = 1/4x
Hats left over = x - (4/7x + 1/4x)
= x - ( 16x+7x/28)
= x - 23/28x
= 28x - 23x/28
= 5/28x
Can someone plz help me. There is an equation and the cost too.
Answers
Answer:
C = 40p
Cost for 15 people: 600 dollars
Step-by-step explanation:
The amusement park charges $40 per person.
That can be represented as 40 × P or 40P.
C is equal to the cost of admission for P people.
So, C = 40P
C = 40P
C = 40(15)
C = 600
The cost of admission for 15 people is 600 dollars.
Hope that helps.
(x+y)^4 I am trying to simplify this problem and am kinda confused by it
Answers
Answer:
This is already as simple as it will get. You could expand it though. In that case you'd get:
(x + y)⁴
= (x² + 2xy + y²)²
= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴
= x⁴ + 4x³y + 6x²y² +4xy³ + y⁴
But this doesn't simplify at all.
HELP PLS!! I need help for question 10, answers a, b, and c! (Everything is in the picture)
Answers
Answer:
A. The line on the left
B.not sure
C. 20 dollars
Step-by-step explanation:
A function h(x) is defined by the equation h(x) = sqrt x-2 + 3. Which is the graph of h(x)?
Answers
[tex]h(x) = \sqrt{x - 2} + 3[/tex]
TransformationA constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.
A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.
AnswerSecond Image, the first one where x = 2 and y = 3.Answer:
Step-by-step explanation:
second graph
Maria can paint an area of 100 square feet in one-third of an hour. At this rate, how
many square feet can she paint in one minute?
Answers
Answer:
A. 5 square feet per minute
Step-by-step explanation:
Answer:
The answer is 5 square feet per minute.
Step-by-step explanation:
Since 1/3 of an hour is 20 minutes, it will look like 100 square feet/20 min.
To make 20 minutes into one minute, we have to divide it by 20.
Because we did it to the denominator, we also have to do the same thing to the numerator.
Divided 100 by 20, which gives you 5.
Hope this helps!!
Help what’s the answer?
Answers
Answer:
what are you ment to do...............
Solve the following inequality.
8x-1<15
Answers
Answer:
x < 2
Step-by-step explanation:
I hope this help you
Analyze the drawing.The beam in the mobile is balanced.The cups on the right and left are equal,which means the the items can be removed and mobile still balances.This leaves 4 circles on the left,a cup and 1 circle on the right.Now the circle on the right cancels out the circle on the left,leaving three circles on the right.The logical conclusion is that the cup is equal to 3 circles
Answers
Answer:
See the attached
Step-by-step explanation:
Solution is given on the picture
Which expression is a factor of both x^2-9 and x^2+8x+15
Answers
Step-by-step explanation:
x^2-9=0x^2+8x+15=0(x+5)(x+3)=0
x+5=0 or x+3=0
x=-5or x=-3
x=-5 in x^2-9=0(-5)^2-9=0
10-9=0
1=0
x=-3 in x^2-9=0(-3)^2-9=0
9-9=0
0=0
A candy company puts 4 gumdrops each bag. how many gumdrops will the company need to fill 3,873?
Answers
Answer:
15,492 gumdrops
Step-by-step explanation:
If the company needs 3,873 bags of candy and each bag has 4 pieces of candy it them, then multiply the amount of bags they need and the amount in each bag and you will get how many they need in total.
Answer the question below please.
DUE TODAY
CORRECT ANSWER GET'S BRAINLIEST :)
Answers
Answer:
23.5
Step-by-step explanation:
I'm not sure if its correct or not
Square sides are all equal so you have to divide 94/4
f(x)=3x-5 please help :>
Answers
Answer:
x= 5/3?????
Step-by-step explanation:
try using math
way
If the point (3,-4) is dilated by a scale factor of 74 , what are the new coordinates?
Now take the new points and rotated them 180°. What are the new coordinates?
Answers
Answer:
(-222, 296)Step-by-step explanation:
Given point
(3, -4)Dilation by a scale factor of 74:
(x, y) → (74x, 74y)(3, -4) → (74*3, 74(-4)) = (222, -296)Rotation by 180°:
(x, y) → (-x, -y)(222, -296) → (-222, 296)y = 3x + 5
y = 4x2 + x
Answers
Answer:
8x and 4x(2) + 5
Step-by-step explanation:
It doesn't make sense but I am pretty sure this is correct
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answers
Answer:
(-6,4)
Step-by-step explanation:
-7-(-1)=-6
7-3=4
Solve by elimination.
2x + 8y = 60
5x + 4y = –10
Answers
Answer:
2x + 8y = 60= 30
5x + 4y = –10= -2
Step-by-step explanation:
Simplifying
2x + -8y = 60
Solving
2x + -8y = 60
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8y' to each side of the equation.
2x + -8y + 8y = 60 + 8y
Combine like terms: -8y + 8y = 0
2x + 0 = 60 + 8y
2x = 60 + 8y
Divide each side by '2'.
x = 30 + 4y
Simplifying
x = 30 + 4y
Need help asap please
Answers
Answer:
Multiply four on both sides
Step-by-step explanation:
;)
Determine if the following expressions are equivalent. If so, by what property are they equivalent.
3(x-2) and 3x - 6
A. yes, by associative property
B. yes, by commutative property
C. yes, by distributive property
D. no, the expressions aren't equivalent.
Answers
Answer:
C. Yes, by distributive property
Step-by-step explanation:
Distributive property states that 3 can be distributed to all of the terms inside of the parentheses, namely x and -2. 3x + 3(-2) = 3x-6