The end behavior of the graph of f(x) = x^5 + 8x^4 + 16x^3 is asymptotic: it goes towards positive infinity as x approaches positive infinity, and negative infinity as x approaches negative infinity.
The end behavior of the graph of a polynomial function with degree 5 is determined by the leading term, which in this case is x^5. Since the degree of the leading term is odd and the coefficient is positive, the graph of f(x) = x^5 + 8x^4 + 16x^3 will approach positive infinity as x approaches positive infinity, and negative infinity as x approaches negative infinity. This is known as an asymptotic end behavior. As the x-values get larger and larger, the magnitude of the y-values will also get larger and larger, approaching infinity in either direction. This can be seen by looking at the graph of the function, which will have an "S" shape that curves up and to the right (positive infinity) for large positive x-values, and down and to the left (negative infinity) for large negative x-values.
For x > 0, the end behavior is:
f(x) = x5 + 8x4 + 16x3
lim x→∞ f(x) = lim x→∞ x5 + 8x4 + 16x3
lim x→∞ f(x) = lim x→∞ x5
lim x→∞ f(x) = +∞
For x < 0, the end behavior is:
f(x) = x5 + 8x4 + 16x3
lim x→−∞ f(x) = lim x→−∞ x5 + 8x4 + 16x3
lim x→−∞ f(x) = lim x→−∞ x5
lim x→−∞ f(x) = −∞
Learn more about graph here
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Which is equivalent to 64 1/4
2 4v4
4
16
16 4v5
Nicole and lan generate two patterns. Nicole uses the rule multiply by 3 then add 2 starting with 1. lan uses the rule add 1/2 then multiply by 2 starting from 0. Complete the table to show the numbers in each pattern. Then create the ordered pairs.
Nicole's pattern:
5
17
53
161
485
Ian's Pattern:
1
3
5
10
20
Coordinate Pairs:
5,1
17,3
161,10
485,20
HOPE IT HELPS
The coordinate pairs of Nicole and Ian's sequence pattern are; (5, 1), (17, 3), (53, 5), (161, 10), (485, 20)
How to write Coordinate Pairs?We are told that Nicole's pattern is multiply by 3 then add 2 starting with 1.
Thus, nicoles numbers sequence pattern is;
5, 17, 53, 161, 485
Then Ian's Pattern is add 1/2 then multiply by 2 starting with 0. Thus, his numbers are;
1, 3, 5, 10, 20
Finally, the Coordinate Pairs are;
(5, 1), (17, 3), (53, 5), (161, 10), (485, 20)
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Question 7
Which expression is equivalent to the expression shown?
10 x 40
45
104 x 4
15
9
9
40
104 x 45
Answer:
10^4x 4^5 hope that helps you out
Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Sarah to end up with $410?
Plzzz helppp
Answer:
4.2%
Step-by-step explanation:
If lines AB and CD are parallel, which of the following statements are true?
Check all that apply.
A. AB and CD are perpendicular
B. ABICO
O C. AB and CD intersect at a single point
D. AB || CD
E. AB and Co are skew lines
F. AB and CD are coplanar
Answer:
D
F
Step-by-step explanation:
Parallel lines are lines of equal distance apart (equidistant), that are on the same plane but they never meet
Perpendicular lines meet thus they are not parallel lines
Also, lines that intersect , meet, thus they are not parallel lines
Answer: D. AB||CD
F. AB and CD are coplaner
Step-by-step explanation:
Please please ASAP ASAP please ASAP thank you so
No links or files
Answer:
c
Step-by-step explanation:
What is the slope of the line 4x – 2y = 5?
–4
–2
2
4
Answer:
It is 2.
Step-by-step explanation:
The equation becomes -2y=-4x=5
But you divide by -2 to get y solo. So -4/-2=2.
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x - 2y = 5 ( subtract 4x from both sides )
- 2y = - 4x + 5 ( divide all terms by - 2 )
y = 2x + [tex]\frac{5}{2}[/tex] ← in slope- intercept form
with slope m = 2
Help I’ll give Brainly est
Answer:i think a
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEEST
SHOW WORK
You know that it's a bot when it says "explanation in file".
They forgot to put a question, there's nothing to answer...
Parallelograms in geometry.
Answer:
x = 16
Step-by-step explanation:
In a parallelogram , consecutive angles sum to 180° , then
3x + 5 + 9x - 17 = 180
12x - 12 = 180 ( add 12 to both sides )
12x = 192 ( divide both sides by 12 )
x = 16
take off the parentheses and then take off the number and the degrees symbol with the plus sign
take off the parentheses from the 9,-,17, and the degrees symbol
now your left with 2 x'
do x-x = what?
it it x
period
You are testing two food scales for accuracy by weighing two different types of foods. Use the drop-down menus to complete the statements about the scales' accuracy. Scale 1 Measured Weight Actual Weight 85 oz 100 oz Scale 2 Measured Weight Actual Weight 47 oz 50 oz CLEAR CHECK Because the object on Scale 1 weighs more than the object on Scale 2, each ounce of error results in a lesser percent error. Scale 1 was 15 ounces off and Scale 2 was 3 ounces off, so Scale 1 was % off and Scale 2 was % off.
Answer:
scale 1 was 15% off and SCALE 2 was 6% off
Step-by-step explanation:
Scale __ Measured Weight ____Actual Weight
1_________85 oz _______________100 oz
2 ________ 47 oz _______________ 50 oz
Percentage error :
[(|measured - actual |) ÷ actual] * 100%
Scale 1 :
|85 - 100| = 15 oz
15 / 100 * 100% = 15%
Scale 2 :
|47 - 50| = 3 oz
3 / 50 * 100% = 0.06 * 100% = 6%
Hence, scale 1 was 15% off while SCALE 2 was 6%
H2CO3 → H2O + CO2 answer
Please help. I need the help.
Answer: Annalise says that Philip will earn $320 more at First Bank than at GrandBank.
Step-by-step explanation:
Formula for Simple interest = Principal × Rate × Time
At GrandBank, the simple Interest will be:
= $2000 × 6% × 8
= $2000 × 0.06 × 8
= $960
At First Bank, the Simple interest will be:
= $2000 × 8% × 8
= $2000 × 0.08 × 8
= $1280
Based on the above, Philip will earn ($1280 - $960) = $320 more at First Bank.
The volume of the rectangular prism is ________ cm3
Answer:
volume of rectangular prism =l×w×h
volume of rectangular prism =4cm×2cm×7cm
volume of rectangular prism =56cm³
Answer:
The volume of the rectangular prism is [tex]56cm^3[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism, you need to multiply the length, width, and height of the rectangular prism altogether. In this case, the length is 4cm, the width is 2cm, and the height is 7cm. So the volume of the rectangular prism would be [tex]7*2*4[/tex] = [tex]7 * 8[/tex] = [tex]56cm^3[/tex].
*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*
Which of these statements best describes a biased sample?
A. The sample is small
B. The sample has results that are incorrect predictions
C. The sample does not accurately represent the population
D. The sample was chosen randomly
Answer:
C) The sample does not accurately represent the population
Answer:
C
Step-by-step explanation:
If you go to go o g l e and search up "bias sample examples" it will give you examples! I hope I helped :)
please help im not good at this kind of math T-T 20 points :)
Answer:
Step-by-step explanation:
huh
Answer:
Step-by-step explanation:
y=13-3x
when x=0
y=13-3(0)
y=13
when x=1
y=13-3(1)
y=13-3
y=10
when x=2
y=13-3(2)
y=13-6
y=7
when x=3
y=13-3(3)
y=13-9
y=4
when x=4
y=13-3(4)
y=13-12
y=1
can somebody please please help me :/
I NEED HELP ON THIS ASAP!!!!!
Answer:
1. 3.48 i think but 2. is 115
Step-by-step explanation:
first to answer get 100 points and brainiest. Serious by the way
Answer: What can I say execpt your welcome
Step-by-step explanation: Get nae naed
Answer:
Ok then but seriously this is meant as a school homework site it isnt just for friends or things you want you may get banned for things such as this
Step-by-step explanation:
0.14 cm = ______ m
Conversions
Answer:
0.14 cm = 0.0014m
Step-by-step explanation:
So the phrase is:
“King Henry Died Belly Up Drinking Chocolate Milk”
The c is centimeters and meters is in between "died" and "drinking".
So 0.14 cm = 0.0014m
Because you are moving 2 to the left on the phrase so you move the decimal point 2 to the left.
***Belly up is bolded because it stands for base unit (meters, liters, gram, etc.)
I hope this makes sense!
If a figure can be rotated 6 times, it has how many lines of rotational symmetry?
Answer: The answer is 7
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!
A dart board contains 20 equal sized sectors numbered 1 to 20. A dart is randomly tossed at the board 10 times. what is the probability that the dart lands in sector 20 exactly 5 times?
Answer:
it 20 chews 5 over 20 chews 10
= 20! / (20-5)! times 5! over 20! / (20-10)! times 10!
=15504/ 184756= .08 or 8%
Step-by-step explanation:
have a good day/night
may i please have a branllliest
sorry if wrong :(
Which formula should be used to calculate the amount of paper needed?
Answer:
Step-by-step explanation:
I=PRT where I =interest P=principal, R=rate, and T =time is
Help ASAP!!!!! Can someone help me??
(And no I’m not gonna click a link)
Answer:
Sorry i couldnt upload the file i uploaded it onto a file host link is below
brainly.com
also im joking ;)
Answer:
1: 3x^2+2x+2
2: x = 1/4 or 4x+1. (I don't know which way your teacher likes it)
Step-by-step explanation:
Message if want work
Can someone please help me ASAP!!
the surface is around 65
(10x-1)+(17x-8)=180
What is X?
Thanks so much xx
Answer:
X= 7
Step-by-step explanation:
Well first combine like terms
27x-9=180
Isolate from the variable
27x=189
x=7
The final answer is 7
Answer:
x =7
Step-by-step explanation:
( 10x -1) +(17x -8 ) =180
step 1 : since you have a plus sign in between it make it easy
so take care of the parentheses first
10x -1 + 17x - 8 = 180
step 2 : put together thw variable x
10x + 17x -1 -8 = 180
27x -9 =180
step 3 : take out -9 to the right and the sign will change
27x = 180 +9
27x = 189
x = 189 ÷ 27
x = 7
im not sure if its too small or not
Answer:
area of ring shape =
[tex](\pi \times 6 \times 6) - (\pi \times 4 \times 4)[/tex]
=
[tex]36\pi - 16\pi[/tex]
=
[tex]20\pi[/tex] square inches
Can someone Help me please
Step-by-step explanation:
Given,In triangle ABC. In triangle DBC
AB. = DB.
[Given]
<ABC. = <DBC
[Given]
BC. = BC
[Common side]
Hence,
As two sides and one angle of triangle ABC and triangle DBC are equal.
Therefore,Triangle ABC is congruent to Triangle DBC
(3a²b-4ab²+a²b²)-(2ab²+a²b²+5a²b)
Answer:
8ab
Step-by-step explanation:
Answer:
-2a^2b-6ab^2
Step-by-step explanation:
(3a²b-4ab²+a²b²)-(2ab²+a²b²+5a²b)
3a²b-4ab²+a²b²-2ab²+a²b²+5a²b
(3a^2b-5a^2b)+(-4ab^2-2ab^2)+(a^2b^2-a^2b^2)
-2a^2b-6ab^2
Help please not sure what it can be!