Answers
Answer:
1/(x -2)
Step-by-step explanation:
You want the simplified form of the rational expression ...
[tex]\dfrac{1}{x-4}-\dfrac{2}{x^2-6x+8}[/tex]
SimplificationWe simplify this by combining terms over a common denominator, then cancelling any common factors from numerator and denominator.
[tex]\dfrac{1}{x-4}-\dfrac{2}{x^2-6x+8} = \dfrac{(x-2)}{(x-4)(x-2)}-\dfrac{2}{(x-4)(x-2)}\\\\\\=\dfrac{(x-2)-2}{(x-4)(x-2)}=\dfrac{x-4}{(x-4)(x-2)}=\boxed{\dfrac{1}{x-2}}[/tex]
Note that the domain still excludes x=4, in addition to the obvious exclusion of x=2.
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Related Questions
How do you solve this problem?
Answers
What is the area of a parallelogram with a base of 3/4 cm and a height of 1/2 cm?
A) 2 cm2
B) 1/3 cm2
C) 1/2 cm2
D) 3/8 cm2
Answers
Answer:
D
Step-by-step explanation:
multiply both fractions. <3
Answer:
D
Step-by-step explanation:
Area is found by multiplying the base times the height, and 3/4(0.75) × 1/2(0.5) is 3/8(0.375)
consider the following expression
3a + 7b + 4
select all true statements.
3a + 7b + 4 is written as a sum of three terms.
3a and 4 are like terms.
3a is a factor.
4 is a constant.
3a is a coefficient.
Answers
Answer:
C and D
Step-by-step explanation:
hopes this helps you
use the distributive property to fill in the blanks below
4 x ( 7 x 8 ) = ( _x 7 ) + ( _ x 8 )
please help i'm such a lamebrain
Answers
Answer:
I think the first one is 8 and the other one is 7 I think
PLEASE HELP ME, I NEED THIS FAST!!!!!! NO LINKS PLEASE Which graph represents the solution set of the inequality Negative 9 greater-than x?
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the left of the circle is shaded.
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the left of the circle is shaded.
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the right of the circle is shaded.
A number line going from negative 13 to negative 7. A closed circle is at negative 9. Everything to the right of the circle is shaded.
Answers
Answer:
A number line going from negative 13 to negative 7. An open circle is at negative 9. Everything to the left of the circle is shaded.
Step-by-step explanation:
-Open Circle is correct. This eliminated B and D.
-Has to be shaded on the LEFT. This knocks out C.
-Only answer Remaining is D.
Hope this helps! Have a nice day, please tell me if my answer is wrong, although I am sure that it is correct. Good Luck!
A children's pool contains 17,500 milliliters. How many liters are in the pool? (4 points)
1.75 liters
17.5 liters
175 liters
1,750 liters
Answers
Answer:
B 17.5 liters
Step-by-step explanation:
1 liter = 1000 ml
This means that to get ml, we have to multiply our liters by 1000. Using inverse operations, we can instead divide the ml by 1000 to get liters.
Hope this helps you :)
Got 100% on test.
Hope this helps!!
if the baseball radius is 1.4 inches what is the circumfrance in inches
Answers
Answer:
8.8 in
Step-by-step explanation:
To find a circumference you need the diameter. To find the diameter you multiply the radius x2.
1.4x2=2.8
Tp get the circumference you multiply the diameter by pi or 3.14
The formula is [tex]\pi[/tex]d
so you multiply 2.8 by pi which is=8.79645943005 or to the nearest hundredth=8.8
Answer:
area = 50.27 sq inches
circumference = 25.14 in
Step-by-step explanation:
given radius r = 4 in
area = πr² = 3.142 x 4² = 50.27 square inches
circumference = 2πr = 2 x 3.142 x 4 = 25.14 inches
i hope this work for you
Use the drawing below to answer the questions that follow.
Answers
Answer:
first part: It would be divided by 2
second part: 5.5
A right triangle has a leg which measures 90 cm and a hypotenuse which measures 102 cm. What is the length of the other leg?
Answers
Answer:
48 cm
Step-by-step explanation:
Use pythagorean theorem.
102^2=90^2+b^2
10404=8100+b^2
b^2=2304
b=48
Triangle QRS has 2 angles that add up to 92 degrees. What is the angle measurement of the 3rd angle?
Answers
Answer:
88 degrees
Step-by-step explanation:
The angle sum of measure is 180 degrees so just subtract the 92 degrees and you'll have your answer!
Step by step:
all triangles must equal 180 degrees.
you subtract 92 from 180 to get 88 degrees for the missing angle
hope this helps!
Which of the following is a unit fraction? 1/17 10/19 5/1 8/15
Answers
Answer: The answer is 1/17
Step-by-step explanation:
A unit fraction is when the numerator is 1 and only one thus, the answer is 1/17
Hii! See below.
Your answer is A.1/17
But,what is a unit fraction?
-A unit fraction is fraction when only the numerator is the value of 1. Note: the numerator is the top number.
What if the denomintor was 1?
-If the denomintor was 1, we would have something called an improper fraction.
What is an improper fraction?
-An improper fraction is a fraction where the numerator has a larger value then the denominator
Examples of improper fractions
2/14/39/2Examples of unit fractions
1/11/21/31/41/51/6Tips
Numerator is the top numberDenominator is the bottom numberImproper fraction is when the numerator is more then the denomintorHope this helps :)
Help? Problem: Write an expression for the area of the shaded region in its simplest form. Show all of your steps.
Answers
Answer: x² + 23x + 49
Step-by-step explanation:
The way to find the area of the shaded region is to find the area of the big rectangle, and subtract from it the area of the small square inside.
Simple enough! lets write it in algebra and work out the steps:
Area of Shaded = Area of big rectangle - Area of small square
Area of Shaded = [(x+10)(2x+5)] - [(x+1)(x+1)]
Area of Shaded = (2x² + 5x + 20x + 50) - (x² + x + x + 1)
Area of Shaded = (2x² + 25x + 50) - (x² + 2x + 1)
Area of Shaded = 2x² + 25x + 50 - x² - 2x - 1
Area of Shaded = 2x² - x² + 25x - 2x + 50 - 1
Area of Shaded = x² + 23x + 49
Answer:
The expression for the area of the shaded region is x² - 23x - 49
Step-by-step explanation:
Area of a rectangle
area = lw
where
l = length
w = width
Therefore,
The area of the shaded region = area of the big rectangle - area of the small rectangle
Therefore,
area of the big rectangle = (x+10)(2x+5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50
area of the small rectangle = (x+1)(x+1) = x² + x + x + 1 = x² + 2x + 1
area of the shaded region = 2x² + 25x + 50 - ( x² + 2x + 1)
area of the shaded region = 2x² + 25x + 50 - x² - 2x - 1
area of the shaded region = x² - 23x - 49
What would be the perimeter of an image if a scale factor of 2.5 was applied?
Answers
Answer:
40 units
Step-by-step explanation:
So first if it was a scale factor of 2.5 you would multiply it by 2.5 for each side. So for the side of 3 you would multiply it by 2.5 which is 7.5 so that side and the other side across from it would be 7.5 units. Then for the next one there is 5 units so you do the same 5x2.5 is equal to 12.5 so will the one below it.
Then it would be (7.5 * 2) + (12.5 * 2)= 15+25+40
So then the perimeter would be 40 units.
Suppose y varies directly as x, and y = 32 when x = 4. Find y when x = 11
plz answer asap
Answers
Answer:
39 :)) should be y= 39 its not ig idk what it is
ANSWER ASAP WILL MARK BRAINLIEST
Use point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points
(2, -1) and (10, 7).
y =
x
+
Answers
so im doing math and i rlly need help with this question
Answers
Answer:
42
Step-by-step explanation:
so add a 1 under the -7 like this
-7 z
------ = ------
1 -6
then times -6 and -7
and z and 1 so you get
z=42
mark brainliest if this helped pls!
A local food bank is creating Thanksgiving baskets. There are 72 cans of green beans, 96 cans of corn, and 48 cans of pumpkin. What is the greatest number of baskets that can be filled equally?
Answers
Answer:
24 baskets
Step-by-step explanation:
The GCF (greatest common factor) for 72, 96, and 48 is 24.
72/3 = 24
96/4 = 24
48/2 = 24
The greatest common factor of 72,96 and 48 is 24 so 24 baskets can be filled equally.
What is the highest common factor?The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.
For example in 6 and 12 6 is the highest common factor.
Given that,
There are 72 cans of green beans, 96 cans of corn, and 48 cans of pumpkin.
The number of baskets that can be filled equally will be a number which is the greatest multiple of all three 72,48 and 24.
The HCF of 72,48 and 24 = 24 because it is the only the highest number through which all numbers can be divisible.
Hence "The maximum or greatest number of baskets will be 24 such that all three cans will be filled equally".
To learn more about the highest common factor,
https://brainly.com/question/128394
#SPJ2
The composite shape is made up of two identical triangles and two different rectangles. What is the are of the composite shape in units squared?
___
Answers
Answer: 72 u^2
Explanation:What we know:
Both triangles are identicalBoth rectangles are differentThere are values in units^2 givenThere are right anglesHow to solve:
We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)
Process:Triangles
Set up equation A = 1/2(bh)
Substitute A = 1/2(4*3)
Simplify A = 1/2(12)
Solve A = 6
Double *2
A = 12 u^2
Rectangles
Set up equation A = lh
Substitute A = (14)(3)
Simplify A = 42 u^2
Set up equation A = lh
Substitute A = [14-(4+4)](3)
Simplify A = (14-8)(3)
Simplify A = (6)(3)
Multiply A = 18 u^2
Total Area
Set up equation A = R1+R2+T
Substitute A = 42 + 18 + 12
Simplify A = 60 + 12
Solve A = 72 u^2
Answer: 72 u^2ROUND TO THE NEAREST ONES PLACE What is the volume of right circular cone rounded to the nearest whole cubic millimeter? Show work to support your answer. 4 mm 9 mm
Answers
V= π 4^2 9/3
V= π 16 3
V= 150.72
V=151
Explanation
Formula is the first line. R is the radius with us 4 and h is the height which is 9. Substituting these values into the formula will get you pi times 4 squared times 9 divided by 3. When simplified this gets pi times 16 times 3. Using the approximate value of pi which is 3.14, multiple it with 16 and 3 will get you 150.72, round this to 150.8, which rounds to 151.
Hope this helps
Look at the picture then answer the question
Answers
Answer:
B). 2(6-2)
Thanks!
Mark me brainliest!
Answer:
2 X (6-2) or 2 (6-2)
Please mark as brainliest
Someone help me with this ASAP!!
Answers
Answer:
Between 4 and 10
Step-by-step explanation:
1.9 × 4.4 = 8.36
8.36 is between 4 and 10
Answer:
between 4 and 10
Step-by-step explanation:
1.9 is almost 2.
4.4 is about 4.
2 × 4 = 8
So the answer should be between 4 and 10.
Note that 8 is not the answer of 1.9 × 4.4. We just estimated the value that could be the answer.
15 point reward + brainliest for the CORRECT answer
Answers
Answer:
abby has 72 pair of socks
Answer:
See below.
Step-by-step explanation:
The ones that correctly describe the situation are :-
Abby has a 50% chance of picking a white pair.Abby has a 2/3 chance of not picking a black pair.Abby has a 1/6 chance of picking a pair of grey socks.17 more than the quotient of a number and 4
13 less than two-thirds of a number
What would be the answers to both of these?
Answers
Answer:
I thank it would be 7
Step-by-step explanation:
hope this helps if not let me now
GIVING OUT 50 POINTS
Explain the differences and similarities between perimeter, area, and volume. Include math vocabulary and examples.
Write a minimum of two paragraphs.
Answers
Answer:
The perimeter of a shape represents the distance around it. The area of a shape is the surface or flat space that the shape covers (in 2D) while the volume of a shape is the space it occupies in real life (in 3D).
Step-by-step explanation:
Answer:
The perimeter of a shape represents the distance around it, the area of a shape is the surface or flat space that the shape covers, while the volume of a shape is the space it occupies in real life,
Pls help pls and thank you
Answers
Answer:
a^2 + b^2= c^2
8^2 + 7^2= c^2
64 + 49 = c^2
113 = c^2
square root of 113 = square root of c
10.63 = c
C = 10.6
Answer:
Picture I blurry for me
Step-by-step explanation:
Can You Find it out If You can get 50 points
Answers
Answer:
23 apples and 9 bananasStep-by-step explanation:
Step 118 apples cost:
18*6 = 108 pMoney left:
500 p - 108 p = 392 pStep 2Number of bananas bought:
392/40 = 9 and 32 p remainderStep 3Apples bought:
32/6 = 5 and 2 p remainderStep 4Total number of apples:
18 + 5 = 23The Moon travels around the Earth at a speed of 3.68 x 10^3 kilometers per hour. If the Moon orbits the Earth every 27.3 days, then how far does it travel in one orbit around the Earth? Write the exact answer in SCIENTIFIC NOTATION. Do not round.
Do not tell me the answer, I just want to know what to do. Such as: Do 3.68 x 10^3 and then do 27.3 / by 3.68 x 10^3. DO NOT TELL ME THE ANSWER, TELL ME WHAT TO DO
Answers
Answer:
I wont tell you because of your request <3
Step-by-step explanation:
Turn 27.3 days into hours then multiply the hours(23.7D) by the big number for your answer
Answer:
Do (3.68 x 10^3) x 27.3 for the distance
Distance = speed x time
Distance (km per day) = (3.68 x 10^3) x 27.3
Could you find the area? You can use decimals.
Answers
Answer:
70
Explanation
I just did something similar to this
6x7=42
8x19=152
(16x7)divided by 2 = 56
Add 56+152+42=250
GIVING BRAINLIEST!
Find the dimensions of the sports field at the right if the width is at least 60 yards.
Answers
Answer:
The dimensions of the sports field are 80 yards and 3 - 5x yards
Step-by-step explanation:
. . .
You are having a pizza - making party.
You will need 6 ounces of dough and 4 ounces of sauce for each person ( including yourself, the host ) .
Once you have a total count of guest, you buy exactly the needed amount of all the ingredients . The dough and sauce that you buy weigh 130 ounces all together.
1. How many ounces of dough did you buy?
2. How many ounces of sauce did you buy?
3. Num. Guest 0ω0
Worth 10 points . . .
Answers
Answer:
78 ounces of dough, 52 ounces of sauce
Step-by-step explanation:
6 ounces of dough, 4 ounces of sauce= 10 for each person
since 13x10=130, 13 multiplied by each number