Answers
Answer:
x = 9, x = 3
Step-by-step explanation:
Given
y = [tex]\frac{x-3}{x^2-12x+27}[/tex]
The denominator of the rational function cannot be zero as this would make y undefined.
Equating the denominator to zero and solving gives the values that x cannot be, that is
x² - 12x + 27 = 0
(x - 9)(x - 3) = 0
Equate each factor to zero and solve for x
x - 9 = 0 ⇒ x = 9
x - 3 = 0 ⇒ x = 3
Thus x = 9, x = 3 are excluded values and the points of discontinuity
Related Questions
A box is designed to hold pencils. The front of the box will be made from a clear material for display. The rest of the box will be made from cardboard.
A prism has a length of 20 centimeters, height of 5 centimeters, and width of 4 centimeters.
What is the surface area of the side with the clear material?
Answers
Answer:
area of a rectangle/front side of the box = 100 cm²
Step-by-step explanation:
The prism box is a rectangular prism and the front side of the box will be made of the clear material. The other sides will be made of cardboard paper. The surface area of the side with clear material is only the area of the front side of the box. The area of only the front side is the area of 1 rectangle.
The box has a length of 20 cm , height of 5 cm and a width of 4 cm. The surface area of only the front side of the box which is the area of one rectangle only deals with the height and the length.
area of a rectangle/front side = length × height
where
length = 20 cm
height = 5 cm
area of a rectangle/front side = 20 × 5
area of a rectangle/front side = 100 cm²
Answer:
D. 100
Step-by-step explanation:
20x5=100
I did the test! Good luck with the rest of your test! Have a good day/night! <3
Sandra buys tiles for her bathroom walls. Each tile is a square with sides 15cm.
a. Calculate the area of one tile
b. She wishes to cover an area of 108,900cm^2. How many tiles does she need?
c. There are 36 tiles in each box, and only whole boxes can be purchased. How many boxes does Sandra need to buy?
Answers
Answer:
A. Area is 15cm x 15cm = 225cm is the area of 1 tile.
B. She will need 484 tiles
C. She will need to purchase 14 boxes
Step-by-step explanation:
Steven earns extra money babysitting. He charges $17.25 for 3 hours and $28.75 for 5 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y =
Answers
Answer:
y= 5.75x
Step-by-step explanation:
divide the amount he charges by how many hours.
Please help and explain. Thank you :)
Answers
Answer:
= 6^13
Step-by-step explanation:
6^3 • 6^10
= 6^3 • 6^10
= 6^(3 + 10)
= 6^13
Answer:D
Step-by-step explanation:
A. 6^3 * 6^10 = 6^13
It has the same base so you will make it stay the same and add the exponents.
Meg organised a large wedding.
Guests had to choose their meal from beef, chicken or vegetarian.
1/5 of the guests chose beef
11/20 of the guests chose chicken
145 of the guests chose vegetarian
How many guests were at the wedding?
Answers
Answer:
Step-by-step explanation:
580
What would the temperature be on a hot day? 32°F 10°C 35°C 0°F
Answers
Answer:
35 degrees celcius
Step-by-step explanation:
40 degrees c is about 100 degrees f so 35 is the logical answer
100 POINTS!!! NO JOKE!!! (IF YOU ANSWER THE QUESTIONS) It's a little time consuming but I want to see who can answer the fastest. I would really appreciate the answers to these asap. ONLY ANSWER IF YOU KNOW HOW TO DO THESE!!! They're easy but I don't want to do them.
Appreciate = Will mark Brainliest if correct
Thanks so much
Answers
Answer:
1. x = -4
y = -20
2. x = -1
y = 3
3. x = 7
y = 4
4. x = -6.5
y = -10.5
hope this helps :) sorry if I get it wrong!
Answer:
1) x=−4, y=−20
2) x=−1, y=3
3) x = 7 , y=4
4) x = -6.5 , y = -10.5
Step-by-step explanation:
1) y=5x;−3x+2y=−28
solving system by substitution:
substitute y =5x into 2nd equation:
-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4
plug in x in any equation and solve for y = 5* -4 = -20
2) solving system by elimination:
Multiply the first equation by 7, and the second equation by 5.
7(4x−5y=−19)
5(3x+7y=18)
----------------------
28x−35y=−133
15x+ 35y= 90
Add them up to eliminate y:
43x=−43 divide both sides by 43
x=−1
plug x back into 1st equation to solve for y
4x−5y=−19
(4)(−1)−5y=−19
−5y−4=−19 add 4 to both sides
−5y=−15 divide by -5
y=3
3) y =4 , 5x -6y = 11
plug in 4 for y in 2nd equation and solve for x:
5x -6* 4 =11 simplify
5x - 24 = 11 add 24 on each side
5x = 11 +24 simplify
5x = 35 divide by 5 on each side
x =7
4) y = x -4, 2x - y = -2.5
use substitution method:
2x -(x-4) = -2.5 distribute ( )
2x-x+4 = -2.5 simplify
x + 4 = -2.5 subtract 4 on each side
x = -2.5 -4
x = -6.5
plug in -6.5 for x in 1st equation and solve for y:
y = -6.5 -4
y = -10.5
Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work
A. 2
B. 18
C. 40
D. 80
Answers
Answer:
the answer is 40
Step-by-step explanation:
you have to multiply 8x10=80 divied by 20 which equal 40
Answer:
c
Step-by-step explanation:
Ming took a cab across town. His fare was $22, and he leaves an 18%tip.
What is the total amount Ming pays the cab driver?
Answers
Answer:
$25.96
Step-by-step explanation:
take 18% of 22, which is 3.96. Add it to 22 and that's the amount Ming payed!
Students measured the height of bean plants for science project. These are the heights they measured in inches.
4,9,4,7,5,9,4
what’s is the median height of the plants?
Answers
Answer:
5
Step-by-step explanation:
start by putting them in order by value of least to greatest
4, 4, 4, 5, 7, 9, 9
median is the number that is the middle, in this case 5, if there are two middle numbers, you find the average of the two middle numbers.
The Jellybean company is building a new cylinder container with a height of 3.5 inches and a radius of
2 inches. It needs a diagonal divider to separate the two flavors it plans on packing per container. The
production of this divider is being outsourced for manufacturing. What should be the length of the
diagonal divider after removing ¼ of an inch from its top to accommodate for packaging decorative
paper?
Answers
Answer:
Length of diagonal paper is 5.15 inch.
Step-by-step explanation:
Please refer to the images attached.
As per the cylindrical image, we have radius given as 2 inches.
Height as 3.5 inches - 0.25 inches = 3.25 inches
If we look closely, we actually have a right angled triangle whose
Base = 2+2 = 4 inches
Height = 3.25 inches
And we have to find the hypotenuse of triangle:
According to pythagoras theorem:
[tex]Hypotenuse^{2} = Base^{2} + Height^{2}[/tex]
[tex]\text{ Diagonal}^{2} = 4^{2} + 3.25^{2}\\\Rightarrow 16 + 10.5625\\\Rightarrow 26.5625\\\Rightarrow \text{Diagonal = }5.15\ inch[/tex]
Hence, Length of diagonal paper required is 5.15 inch.
PLEASE HELP ASAP worth alot
Answers
Answer:
I believe it is C
Step-by-step explanation:
Hope this helps
and if it at all possible and you mark me brainlyest please
Answer:
5 pts isnt a lot but ok.. and yes it is c
Step-by-step explanation:
12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant
does its terminal ray lie?
Answers
Answer:
Quadrant 2
Step-by-step explanation:
Sin = opp/hyp and opp is positive in quadrants 1 & 2.
Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.
Quadrant 2 is found in both of the scenarios that we need to occur.
Which of these pairs of costs and revenues could a company have if it's at its
break-even point?
A. Costs of $3000 and revenues of $5000
B. Costs of $3000 and revenues of $4000
C. Costs of $4000 and revenues of $4000
D. Costs of $4000 and revenues of $5000
Answers
Answer: C. Costs of $4000 and revenues of $4000
Step-by-step explanation: took the quiz.
The break-even point for a given company can be Costs of $4000 and revenues of $4000
What is a break-even point?The break-even point is the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business.
Given are some options we need to find a condition for a company to have a break-even point
Since, the break-even point is a condition of no loss no gain, that the difference of the cost and revenue is zero, that stage is called a break-even point.
From the options, option C is showing a condition of neither gain nor loss, it's having both cost and the revenue same = $4000
Hence, the break-even point for a given company can be Costs of $4000 and revenues of $4000
Learn more about break-even point, click;
https://brainly.com/question/29063970
#SPJ7
Solve for Q. Reduce any fractions to lowest terms. Don’t round your answer, I don’t use mixed fractions.
50q + 43 > -11q +70
Answers
Answer:
q > 27/61
Step-by-step explanation:
50q + 43 > -11q +70
Add 11 q to each side
50q+11q + 43 > -11q+11q +70
61q +43 > 70
Subtract 43 from each side
61q+43-43 > 70-43
61q > 27
Divide each side by 61
61q/61 >27/61
q > 27/61
Answer:
q > 27/61
Step-by-step explanation:
hope this helps!!
wesley. is very particular about his salad He must have 10 leaves of lettuce for every 4 pieces of carrots If he has 50 leaves of lettuce in his salad how many pieces of carrots will he have
Answers
Answer:
20 carrots
Step-by-step explanation:
4/10
x/50
10 x 5 = 50
4 x 5 = x
x = 20
20/50
Point F is on circle C.
Circle C is shown. Line segments E C, F C, and D C are radii. Tangents E G and D G intersect at point D outside of the circle. A line is drawn to connect points F and G. The length of G E is 10 and the length of E C is 7.5. Angles E and D are right angles.
What is the length of line segment GF?
12.5 units
15.0 units
17.5 units
20.0 units
Answers
Answer:
D
Step-by-step explanation:
Its the answer because it just is, don't believe the other answer.
Answer:
The length of line segment GF should be 20.0 units
Center (2,8) r=6 plz help
Answers
Answer:
(x-2)^2+(y-8)^2=36
Step-by-step explanation:
PLEASE HELP ME I NEED IT
Answers
Answer:
c, A teenager whose parents always monitor their screen time is more likely to have a time limit
Step-by-step explanation:
If they always check their time limit then they most likely have a time limit
PLEASE HELP! 15 POINTS!
Select the correct answer.
Which relation is a function?
A.
{(2, 3), (1, 5), (2, 7)}
B.
{(-1, 5), (-2, 6), (-3, 7)}
C.
{(11, 9), (11, 5), (9, 3)}
D.
{(3, 8), (0, 8), (3, -2)}
Answers
For every x value, there should be only one y value. Or, for every input there is only one output.
A - Incorrect - there are two 2's for the x values and each of them has a different y value
B - Correct - all of the x values are different and all of the y values are different
C - Incorrect - there are two 11's for the x values and each of them has a different y value
D - Incorrect - there are two 3's for the x values and each of them has a different y value
Hope this helps! :)
Find the value of the expression (2x - 12) + ( 1/2xy - 10) for x = 8 and y = 2
Answers
(16 -12) + (8 - 10)
4 + (-2)=
2
(2x-12) + (1/2xy-10)
16-12 + 8-10
4+(-2)
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answers
Answer:
The area of the shaded area is 27 [tex]\pi[/tex]
Step-by-step explanation:
The formula for the area of a circle is :[tex]\pi *radius^2[/tex]
To work this out you would first have to work out the area of the circle. You can do this by multiplying [tex]\pi[/tex] by the radius of 6 squared, this gives you 36[tex]\pi[/tex]. However the question is asking for that section of the circle.
To work out the area of the shaded section you will first have to look at the missing angle, as it is 90° . A circle has 360° and so if we divide 360 by 90, this gives us 4. This tells us that [tex]\frac{3}{4}[/tex] of the circle is shaded as [tex]\frac{1}{4}[/tex] is not.
To work out the area of the shaded area you would divide the area of the whole circle which is 36[tex]\pi[/tex] by 4, this gives us 9[tex]\pi[/tex]. This tells us the area of 1 quadrant of the circle.
The next strep is to multiply 9[tex]\pi[/tex] by 3, this gives us 27[tex]\pi[/tex]. This is because now that we know the area of one quadrant we can find the area of the shaded area which covers 3 quadrant of the circle.
1) Multiply [tex]\pi[/tex] by 6 squared.
[tex]\pi *6^2=36\pi[/tex]
2) Divide 360 by 90.
[tex]360/90=4[/tex]
3) Divide 36 [tex]\pi[/tex] by 4.
[tex]36\pi/4=9\pi[/tex]
4) Multiply 9 [tex]\pi[/tex] by 3.
[tex]9\pi*3=27\pi[/tex]
Answer:
27 pi
Step-by-step explanation:
Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
PLEASE HELP
Answers
The graph of the absolute value parent function will be V-shaped. Then the correct option is C.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The graph of the absolute value parent function will be V-shaped.
Then the correct option is C.
More about the absolute function link is given below.
https://brainly.com/question/10664936
#SPJ5
Answer:
A,C,D
Step-by-step explanation:
just took the test
Which has a value closest to 9?
✓99
V83
VIO
V63
Answers
Answer:
[tex]\sqrt{83\\}[/tex] has the closet value to 9 bc its 9.11
4x+8y=-4
-5x + 3y=-21
(3-2)
Answers
Answer:
x + 2y + 1 = 0
-5x+3y-21 = 0
(3-2) = 1
If a=3i-7j and b=5i+2j, find a-b
A.2i-9j
B.2i-5j
C.8i-5j
D.8i-9j
Please explain how you solve this because i am confused
Answers
Answer:
- 2i - 9j
Step-by-step explanation:
a - b
= 3i - 7j - (5i + 2j) ← distribute
= 3i - 7j - 5i - 2j ← collect like terms
= - 2i - 9j
None of the answers on your list
A circular lake has a circumference of 24 miles. To the nearest square mile, what is the area of the lake?
15 square miles
46 spaure miles
183 square miles
452 square miles
Answers
46 sqaure miles.........
Answer:
46 square miles
Step-by-step explanation:
The product of two consecutive integers is 2 more than two times their sum
Answers
Is it appropriate to use an absolute value function to represent how people win this game?
Answers
Which inequality correctly compares Five-sixths, One-half, Three-ninths, and 1?
Three-ninths < Five-sixths < One-half < 1
Three-ninths < One-half < Five-sixths < 1
Five-sixths < Three-ninths < One-half < 1
Five-sixths < One-half < Three-ninths < 1
Answers
Answer:
Three-ninths < One-half < Five-sixths < 1
Step-by-step explanation:
We are supposed to compares Five-sixths, One-half, Three-ninths, and 1
[tex]\frac{5}{6} , \frac{1}{2},\frac{3}{9} , 1[/tex]
Take LCM of denominators
LCM of 6,9,2,1 = 18
[tex]\frac{5}{6} \times \frac{3}{3}=\frac{15}{18}[/tex]
[tex]\frac{1}{2} \times \frac{9}{9}=\frac{9}{18}[/tex]
[tex]\frac{3}{9} \times \frac{2}{2}=\frac{6}{18}[/tex]
[tex]1 \times \frac{18}{18} = \frac{18}{18}[/tex]
[tex]\frac{6}{18}<\frac{9}{18}<\frac{15}{18}<\frac{18}{18}[/tex]
[tex]\frac{3}{9}<\frac{1}{2}<\frac{5}{6} < 1[/tex]
Three-ninths < One-half < Five-sixths < 1
Answer:
Three-ninths < One-half < Five-sixths < 1
Step-by-step explanation:
