Answers
Answer:
[tex]\frac{x+20}{x+4}[/tex]
Step-by-step explanation:
Can't cancel out terms like that
need to factor out the top and bottom
[tex]\frac{x^{2} +16x-80}{x^{2} -16}[/tex] = [tex]\frac{(x+20)(x-4)}{(x-4)(x+4)}[/tex] now cancel out the (x-4) from the top and bottom
= [tex]\frac{x+20}{x+4}[/tex]
Answer & Explanation:
Error: individual terms in an equation in a fraction cannot be directly canceled out.
Correction:
the easy way (solve the quadratic equation in the numerator and complete the square in the denominator):
(x^2 + 16x - 80) / (x^2 - 16)
(x+20)(x-4) / (x+4)(x-4)
x+20 / x+4
the complicated way (manipulate the exponents and common factors):
(x^2 + 16x - 80) / (x^2 - 16)
(x^2 - 4x + 20x - 80) / x^2 - 2^4
x(x^2-1 - 2^2)+4*5(x - 2^4-2) / (x - 2^2)(x + 2^2)
x(x-4)+20(x-4) / (x-4)(x+4)
x(x-4)+(2^2 (5))(x-4) / (x-4)(x+4)
(x-4)(x + 2^2 (5)) / (x-4)(x+4)
(x-4)(x+20) / (x-4)(x+4)
x+20 / x+4
Related Questions
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?
a. 85 pi in.2
b. 100 pi in.2
c. 120 pi in.2
d. 225 pi in.2
Answers
Answer:
c
Step-by-step explanation:
a hot dog stand sells two type of hot dogs: plain hot dogs and chili-cheese dogs. plain hot dogs code $3 and chili-cheese dogs cost $5. every hot dog (both kinds) comes with a wrapper. The hot dog salesman notices at the end of the dat he has made $145 and used 38 wrappers
Answers
Answer:
i love hotdogs
Step-by-step explanation:
The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inches?
Answers
Answer:
B: 6.5 inches
Step-by-step explanation:
Given,
Area of the rectangle = 45.5 sq. inches
The Base of the rectangle = 7 inches
45.5 = l * 7
l = 45.5/7
l = 6.5 inches
Answer:
silly billy your a tree with branches and leaves hogwarts has an olw that deleivers letters
Step-by-step explanation:
Express 5: 8 in the ratio n : 1
Answers
Answer:
0.625 : 1
Step-by-step explanation:
5 : 8
→ Divide both sides by 8 to get it to 1
(5 ÷ 8) : (8 ÷ 8)
→ Simplify
0.625 : 1
The volume of a triangular pyramid is 13.5 cubic meters. What is the volume of a triangular prism with a congruent base and the same height?
Answers
Answer:
The prism is 3 by 3 by 1.5.
Step-by-step explanation:
The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.
The volume's prism is found using V = l*w*h. Substitute and simplify.
13.5 = x*x*1/2x
13.5 = 1/2 x^3
27 = x^3
3 = x
The prism is 3 by 3 by 1.5.
brainliest?
corine in making potato salad for each bowl of potato salad she needs 1/4 cup of potatoes how many cups of potatoes will she use if she makes 32 bowls of potato salad ?
Answers
Answer:
8 cups of potatoes are needed
Step-by-step explanation:
One way of doing this work is to write out
1/4 cup 1 cup
------------- , which is equivalent to ------------ (a unit rate)
1 bowl 4 bowl
and then multiply this unit rate by 32 bowls:
(1/4)(32 bowls) = 8 cups of potatoes are needed
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AND CAN ANYONE PLS DRAW ME THE ANSWERS I CANT UNDERSTAND ANYTHING PLS I BEG U ILL GIVE U BRAINLEST
Answers
2/5= .4
1/2= .5
3/4=.75
Therefore the bucket that is 2/5 full is less than 1/2 full
Answer:
The 2/5th’s bucket is the answer to question one.
for the second one, draw a square or rectangle and divide one of them by 5 (draw 4 lines in it) and fill in two of those lines.
the second fraction, draw another rectangle and draw 3 lines on the inside of it, filling in 3. (you’re creating a visual representation of the fractions. you can also look up ‘3/4 picture’ and ‘2/5 picture’ and copy off the internet.
Step-by-step explanation:
Aiden works at a lab with a huge circular particle accelerator. It has a diameter of 8 kilometers. What is the accelerator's radius?
Answers
Step-by-step explanation:
Diameter = 2x Radius
Radius = 1/2 Diameter
[tex] = \frac{1}{2} \times 8 \\ = 4km[/tex]
Answer:
Hey mate!
The radius is 4kmHere's how:-
Diameter is 2 times the radius.
That means, the radius is half of the diameter.
So, radius equals 8 divided by 2.
Radius is 4cm.
Hope it helps!
If you have any more queries or didn't understand my answer, let me know in the comments so I can help you!
The county recreation department cleared 3/4 of a mile for a trail in Washington Park. There will be a small sign every 1/12 mile along the trail. How many signs are needed?
Answers
Answer:
its 9 signs
Step-by-step explanation:
in order to find number of signs you gonna divide total distance by distance of a small sign
3/4 ÷ 1/12
= 3/4 × 12/1 = 3 × 3
therefore, the answer is 9 sign
When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 20 days by 28 workers. How many days would it take to build a similar house with 14 workers?
Answers
Answer: 152 days
Step-by-step explanation:
Answer:
152 days
Step-by-step explanation:
Hope it helps u
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Evaluate the expression for the given value of x.
3/4 x − 12 for x = 16
Answers
Answer:
if x is 16 then 3/4(16) - 12
when you simplify 4 by 16
3(4)-12
12-12=0
Which of the following numbers is the SMALLEST?
(45 points)
Answers
Answer:
pretty sure its yellow sorry if its wrong
Step-by-step explanation:
Answer:
Hi! The answer to your question is C. 9 x [tex]10^{2}[/tex]
Step-by-step explanation:
※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
Hope this helps!!
- Brooklynn Deka
Don't forget to click the add button so we can be friends ( ´･･)ﾉ(._.`)
Sort each expense as either a fixed expense or a variable expense.
monthly rent
ixed Expense
Variable Expense
car payment
movies
savings for new guitar
snacks
video games
Answers
Answer:
fixed - monthly rent, car payment, savings for new guitar
variable - movies, video games, snacks
Step-by-step explanation:
Fixed costs are costs that do not vary with output.
the amount of rent paid is fixed.
Variable costs are costs that vary with production
the amount paid at the movies depend on the number of movies watched
I'M GIVING BRAINLIEST TO WHOEVER ANSWERS FIRST! GOOD LUCK!
In the following problem, define the variable and then write an expression to represent the number of students at the elementary school. Finally, find the number of students at the middle school if the elementary school has 380 students: The middle school has 24 students less than 3 times the number of students at one of the elementary schools.
Answers
Answer:
3x - 24
Step-by-step explanation:
this is probably wrong
Answer:
1116
Step-by-step explanation:
Hey!
We can use the algebraic expression, 3x - 24, to solve.
Just substitute 380 in for x.
⇒3(380) - 24
⇒1140 - 24
⇒ 1116
--------------------------------------------------------------------------------------------------------------
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
Please answer correctly!
Answers
Answer:
B. 1296 m^3
Step-by-step explanation:
To find the volume of a square pyramid, multiply the base by itself twice, then divide the height by 3. After getting both answers, multiply the answers.
In this case, the base is 18.
The height is 12.
First, we must multiply the base by itself twice.
18⋅18 = 324.
Next, divide the height by 3.
12/3 = 4.
Now that we have both answers, we multiply them.
324 ⋅ 4 = 1,296.
Therefore, 1,296 cm^3 is the volume of the square pyramid.
the circumference of a circle is about 33.912 inches. the circle's radius is ___ inches.
use 3.14 for pi.
Answers
The circle's radius is:
(33.912 : 3.14) : 2 = 5.4 (inches)
Sara had 27 peaches and 11 pears left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 63 peaches at the stand, how many did she pick
Answers
Answer:
36
Step-by-step explanation:
sara had 27 peaches when she left the stand. when she returns the total number of peaches is 63. So to find the answer you take 63 and subtract it by 27 to get your answer.
put this is y-intercept form 5x + 4y = -4
Answers
Answer:
slope-intercept form: y= -5/4x-1
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
(15 points !!!) What is the measure of
A. 25°
B. 75°
C. 90°
D. 105°
Answers
Answer:
D. 105°
Step-by-step explanation:
The length of a rectangle is twice as long as the width. The area is 400 feet. Find the length and with of the rectangle.
Answers
Answer:
A=400, L=2W, L*W=A so, L*W=400, so, 400=2W*W or 200=W*W or 200=[tex]W^{2}[/tex], [tex]\sqrt{200\\[/tex] = W, L=2([tex]\sqrt{200\\[/tex]) and W=[tex]\sqrt{200\\[/tex], W=14.14 and L=28.28
Step-by-step explanation:
Help ASAP!!!!!!!!!!!!!!!!!!!!!!
Answers
square
its the middle bit that looks darker than the rest.
How can she might choose a random sample of five students from her class of 35 students?
Answers
Answer:
who?
Step-by-step explanation:
Carlos rode his bike 1 2/3 miles to Tim's house then 1 2/3 to the park. What number line shows u the total number of miles that Carlos rode from house to the park
Answers
Number line wasn't added to the original question
Answer:
Carlos rode his bike 1 2/3 miles to Tim's house then 1 2/3 to the park. What number line shows u the total number of miles that Carlos rode from house to the park
Step-by-step explanation:
Distance biked to Tim's house = 1 2/3 miles
Distance biked to park = 1 2/3 miles
Total number of miles Carlos rode from house to park :
1 2/3 + 1 2/3
5/3 + 5/3
(5 + 5) / 3
10 /3
= 3 1/3 miles
help ASAP ill mark brainliest
Answers
Mean = 16.090909090909
Median = 16
Mode = 16
Range = 5
Mean ⎯⎯⎯
x
¯
16.090909090909
Median ˜
x
~
16
Mode 16
Range 5
Minimum 14
Maximum 19
Count n 22
Sum 354
Quartiles Quartiles:
Q1 --> 15
Q2 --> 16
Q3 --> 17
Interquartile
Range IQR 2
Outliers none
Answer:
16.1, 16, 16
Step-by-step explanation:
1) we are going to do the mean :)
you add all the number together and divide by the same number
you should get 354/22 which is 16.0909....... since its round to tenth place, we place it at 16.1.
2) median, for this one, you have to lay out the numbers and see which one is in the middle, in 14,15,16,17,19, 16 is the median.
3) the number that appear the most is the mode, so right now we have
three 17s and six 16s, don't worry about the others because its not in the answer choice, so its 16.
Hope this helps :D
The equation below has infinitely many solutions.
-53 + 2 + 2x + 4 = ax + b
True
False
Answers
Answer:
definatly not infinitely it should be only one correct answer so false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
-53 + 2+ 2x + 4 = ax + b
-47 + 2x = ax + b
Since there is 3 variables you need 3 equations which you don't have. After simplifying there is nothing else you can do.
Sam has 3 water bottles. Together,Sam and Dave have at most 12 bottles of water
Answers
Answer:
Dave has 9 water bottles
Step-by-step explanation:
All 12 water bottles minus Sam's 3 water bottles equals Dave's 9 water bottles.
12 - 3 = 9
There are 60 apples and then add 59 apples two times . How many apples and there altogether
Answers
Answer:
Step-by-step explanation:
59 apples two times = 59 x 2 = 118 apples
Total apples = 118 + 60 = 178 apples
can you guys help me asap
Answers
How could you calculate the value of log11(9100) using a calculator? What does it equal (round to the nearest tenths place)?
Answers
Find the length of the third side if necessary write in simplest radical form
Answers
Answer:
hi
Step-by-step explanation: