Answers
Answer:
Horizontal Asymptote: None (degree of numerator is larger than denominator)
Vertical Asymptote: None (domain of function is [tex]\mathbb{R}[/tex])
x-intercept: (0, 0)
y-intercept: (0, 0)
Hole: (-2, 1)
Step-by-step explanation:
HA: Since the degree of the numerator (2) is larger than the degree of the denominator (1), no HA exists.
VA: Since the domain of the function of is [tex]\mathbb{R}[/tex] (all real numbers), no VA exists. *no real value of x will make the denominator equal to 0 and numerator [tex]\neq[/tex] 0
x-intercept:
The x-intercept occurs at [tex]y=0[/tex].
Solving for x:
[tex]0=\frac{-2x^2-4x}{4x+8}[/tex]:
[tex]0=-2x^2-4x,\\x=0[/tex]. Therefore, the x-intercept is (0, 0).
y-intercept:
The y-intercept occurs when [tex]x=0[/tex].
Solving for y:
[tex]\frac{-2x^2-4x}{4x+8}, x=0,\\\frac{-2(0)^2-4(0)}{4(0)+8}=0[/tex]. Therefore, the y-intercept is (0, 0).
Hole:
When looking for a hole, we are looking for a factor that occurs in both the numerator and denominator:
[tex]\frac{-2x^2-4x}{4x+8}=\frac{-2x(x+2)}{4(x+2)}[/tex]
Rewriting our function here, we see that the term [tex](x+2)[/tex] occurs in both the numerator and denominator. Thus, when this term is set to 0, it will make both the numerator and denominator 0, thus rendering an undefined value (since we cannot divide by 0). We call this a hole. *Note: Usually when an x-value makes the denominator zero, this will create a vertical asymptote. However, if the x-value also makes the numerator zero, it's considered a hole, not an asymptote. The x-value of this hole will be the value of when the common term is equal to 0:
[tex]x+2=0,\\x=-2[/tex]
To find the y-value of the hole, remove the common term and plug in your x-value:
[tex]\frac{-2x^2-4x}{4x+8}=\frac{-2x(x+2)}{4(x+2)}=\frac{-2x}{4},\\\frac{-2(-2)}{4}=\frac{4}{4}=1[/tex]
Therefore, the hole of this function is at (-2, 1).
Related Questions
Please help me answer this i’m being timed, tysm ur the best!:)
Answers
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-1, 0) & (5, 0)
Y-intercept: (0, -5)
Vertex: (2, -9)
Axis of Symmetry: x = 2
2. Find the surface area of the solid
3.1 ft
8 ft
6 ft
A. SA = 65.1 ft2
B. SA = 48 ft?
C. SA = 148.8 ft?
D. SA = 182.8 ft?
Please help I need to know the equation to the answer 20 POINTS
Answers
Answer:
C. SA = 148.8 ft
Step-by-step explanation:
3.1×8×6= 148.8
I brought 16 packs of cola to a party and each pack had 8 cans. My friend brought 6 cans of juice. How many cans did they bring in all ?
Answers
Inscribed angles math lib
Need help with number 2 , 3 , and 4 thank you!!!
Answers
Answer:
See solutions below
Step-by-step explanation:
2) angle at the vertex is half that of its intercepted arc;
51 = 1/2(14x-38)
51*2 = 14x-38
102 = 14x-38
14x = 102 + 38
14x = 140
x = 140/10
x = 14
3) 9x+7 = 1/2(68)
9x + 7 = 34
9x = 34-7
9x = 27
x = 27/9
x = 3
4) 114 = 1/2(30-(8x-36+40))
114 = 1/2(360-8x+36-40)
114*2 = 356 - 8x
-8x = 228-356
-8x = -128
x = 128/8
x = 16
Answer:2
Step-by-step explanation:
51+14x-38=180
13+14x=180
14=167
X=12
If 17 kindergartners can fit into a 5'x'5' square, how many can be estimated to fit into a 10'x10' square?
Answers
Which function’s graph has a y-intercept of 1.5?
A. f(x) = 3x + 2 B. f(x) = 1.5(2)x C. f(x) = 1.5(2)x + 1 D. f(x) = 0.5(2)x + 1.5
Answers
Answer:
D)
Step-by-step explanation:
for each equation, substitute zero for 'x' and solve for 'y' (this will be the y-int)
A) y-int = 2
B) y-int = 0
C) y-int = 1
D) y-int = 1.5
11. What is the unknown number in
Sequence 2 in the chart?
1
7
2
14
7
Sequence Number
Sequence 1
Sequence 2
A 126
3 5
21 35
63 | 105
49
21
42
?
B 127
C 147
D 154
Answers
Answer: 1/2 of an answer is zero answer.
Step-by-step explanation:
What is the approximate volume of the cylinder?
Use 3.14 for pi
Answers
Answer:
it should be 2462 feet³
Step-by-step explanation:
What is the surface area of the cylinder with height 2 mi and radius 6 mi? Round your answer to the nearest thousandth.
Answers
Answer:
301.440 mi²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
Where,
Radius, r = 6 mi
Height, h = 2 mi
Surface area of a cylinder = 2πrh + 2πr²
= (2 * 3.14 * 6 * 2) + (2 * 3.14 * 6²)
= 75.36 + (6.28 * 36)
= 75.36 + 226.08
= 301.44 mi²
To the nearest thousandth
Surface area of a cylinder = 301.440 mi²
I don’t understand this concept please help.
Answers
Answer:
40 squared cm
Step-by-step explanation:
The formula for this shape would be
A=bh
This is the same as a rectangle because it is technically a rectangle, don't get confused by the triangle.
Imagine that you can cut this shape, so cut where the dotted line is, put it on the opposite side, and you get a rectangle.
------
So:
10 × 4 = 40
-----
Have a good day :)
plsss help me as soon as possible!
Answers
id say the answer is ether C or A i would go with C but i might be wrong im very sorry if i am wrong
Jayden bought a new computer with 2.56 x 10" bytes of hard drive space. He also signed up for a
Dropbox account that offers 2x10' bytes of space. How much storage space does he have in total
between his computer and Dropbox?
Answers
Answer:
2.56x10=25.6
Step-by-step explanation:
The great Chicago fire i have assignment on that what do this mean?
Answers
Answer:
The Great Chicago Fire was a conflagration that burned in the American city of Chicago during October 8–10, 1871. The fire killed approximately 300 people, destroyed roughly 3.3 square miles (9 km 2) of the city, and left more than 100,000 residents homeless. The fire began in a neighborhood southwest of the city center.
Step-by-step explanation:
Origin
The fire is claimed to have started at about 8:30 p.m. on October 8, in or around a small barn belonging to the O'Leary family that bordered the alley behind 137 DeKoven Street.
Spread
When firefighters finally arrived at DeKoven Street, the fire had grown and spread to neighboring buildings and was progressing toward the central business district.
Aftermath
Once the fire had ended, the smoldering remains were still too hot for a survey of the damage to be completed for many days. Eventually, the city determined that the fire destroyed an area about 4 miles (6 km) long and averaging ⁄4 miles (1 km) wide, encompassing an area of more than 2,000 acres (809 ha).
Hope this helps please mark brainliest!!
whats the answer to (x-4)(4x^{2} -8+7)
Answers
Answer:
Please mark me brainliest! ^^
vvvvvvvvvv
I need this answer quick godbless if u help
Answers
PLZ ANSWER QUESTION THX (look at picture)
Answers
Answer:
66
Step-by-step explanation:
I have a lot to do so there won't be a step by step
Anyone know this I’m confused?
Answers
Answer:
im not really sure, i think you should listen to the other peoples answer, not mine
Step-by-step explanation:
Find the total volume of the solid below 9, 12, 15, 10, 24
Answers
Answer:
Picture please
Step-by-step explanation:
I cannot identify the 3-D shapes unless if there is a picture.
The total volume of the solid is 2,160 unit³.
What is Volume?Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies.
The unit of volume is in cubic units such as m3, cm3, in3 etc.
First, Base area
= 1/2 x b x h
= 1/2 x 15 x 12
= 15 x 6
= 90 unit²
Now, Volume of Figure
= Base area x h
= 90 x 24
= 2,160 unit³
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ3
7. Rose can type 70 words per minute (wpm). At this rate, how many words can she type in 30 minutes? a. 3100 wpm b. 40 wpm c. 2100 wpm d. 280 wpm
Answers
Answer:
a. 3100 wpm
[tex]1 \: minute = 70 \: words \\ 30 \: minutes = (30 \times 70) \: words \\ = 2100 \: words[/tex]
Order these numbers from least to greatest.
3.61, 3.6012, 3.6, 4.514
Answers
Answer:
3.6, 3.6012, 3.61, 4.514
PLS HELP ITS URGENT!
If the line y= 3x+7 undergoes a dilation with center (0,7) and scale factor 10, what is the SLOPE of the image?
Answers
Answer:
the slope is 3
Step-by-step explanation:
1. 20% of 150 is what number?
Answers
yeah so it’s 30 lol
Answer:
The other guy was right, it's 30.
Step-by-step explanation:
Think of this as 150% of 20, or 1.5 x 20.
This makes it easier to get the answer of 30.
Just a life hack I saw that made math easier :)
Have a good day!
Can You Help Me With This Please?
Answers
Answer:
Step-by-step explanation:
Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!
What is the volume of the cylinder?
A 75 cubed meters
B) 883.6 cubed meters
C 235.6 cubed meteres
D) 3534.3 cubed meters
Answers
Answer:
B) 883.6
Step-by-step explanation:
V=πr^2h
radius= 7.5
V=π(7.5)^2(5)
V= 883.6
883.6 cubed meters
Ronny purchases a new car for $21,500, but it loses 12% of its value over time. The graph below represents the value of his car over many years. Which statement best describes the meaning of the asymptote of y=0 in this situation?
Ronny's car will only be worth about $6000 of its original value after 10 years.
Ronny's car will be worth $0 after 50 years.
Ronny's car will approach a value of $0, but never be equal to $0.
Ronny's car will only be worth 88% of its original value each year.
Answers
Answer:Ronny’s car will be worth $0 after 50 years
Step-by-step explanation:
PLEASE HELP I BEG OF YOUUUU
Answers
Answer:
4 and 5 alternate interior 8=60
Step-by-step explanation:
Alternate means... well... alternating so they are not on the same side but on different sides. Interior means inside si the angles that match this would be 4&5 or 3&6, but 4&5 is one of the options.
1 and 8 are the same value. 1,4,5,8 are all 60 degrees.
-6x - 11 = -7x - 2
what would x be? (distributive property)
Answers
Answer: x = 9
Step-by-step explanation:
-6x - 11 = -7x - 2
x - 11 = -2
x = 9
Answer:
[tex]x=9[/tex]
Step-by-step explanation:
[tex]-6x-11=-7x-2[/tex]
[tex]-6x-11+7x=-2[/tex]
[tex]-6x+7x=-2+11[/tex] ← [tex]collect ~like ~terms[/tex]
[tex]x=-2+11[/tex]
[tex]x=9[/tex]
------------------------
hope it helps...
have a great day!!!
Tim's credit card has a restriction that he must pay either 15 percent of the unpaid balance or $25, whichever is greater
Which will he pay if he has an unpaid balance of $216?
A) $25
B) 15%
Answers
Answer:
He has to pay 15% as that is 32 and more than $25
Step-by-step explanation:
If you take 15% out of 216 it will become 32.
Mariana earned $132 in tips while waiting tables on Friday night. On Saturday, she earned $148 in tips. On Sunday, she went shopping and spent $79 of her tip money. How much does she have left?
Answers
Answer:
201
Step-by-step explanation:
152+148=280
280-79=201
HELP ASAP PLZ!!! Question in pic!!!
Answers
Answer:
x=8
y=14
Step-by-step explanation:
3x+18=5x+2
2x=16
x=8
..........
5y+68=3y+96
2y=28
y=14
Answer:
x=8, y=14
Step-by-step explanation:
Opposite angles are equal to eachother. Therfore this setup is a simple equation
3x+18=5x+2
Simplify and x=8
5y+68=3y+96
Simplify and y=14
Have a nice day ;)