Answer: as x > infinity, g(x)> - infinity and as x> - infinity, g(x)> - infinity
Step-by-step explanation:
Left and right ends of the given poynomial function will fall downwards (towards negative infinity).
End behavior of a polynomial: If a polynomial function is f(x) = ax⁴ + bx³ + cx² + dx + eLeading coefficient → a
Degree of the polynomial = 4
If the degree is even and leading coefficient is negative (-), left end and right ends fall downwards.Given in the question,
Poynomial function → g(x) = -x⁴ + 2x³ + 5x² - 1
Degree of the polynomial = 4 (even)
Leading coefficient = -1 (negative)
Therefore, left end of the graph will fall downwards (towards negative infinity) and the right end of the graph will fall downward (towards negative infinity).
Learn more about the end behaviour of a polynomial here,
https://brainly.com/question/12021944?referrer=searchResults
Help! I get 10 points
Answer:
Expression 1= 5
Expression 2 = 1 - 16
Step-by-step explanation:
ASAP SOMENW HELP ME PLS
Answer:
4.2
Step-by-step explanation:
Ok the points are (-1, 2) and (1, -2)
Put it in the formula
d = [tex]\sqrt{(1 - -1)^2 + (-2 - 2)^2} \\\sqrt{(2)^2 + (-4)^2} \\\sqrt{2 + 16} \\\sqrt{18} \\[/tex]
√18 = 4.2426 ≈ 4.2
Hope this helps ya!!
factor completely please
Answer:
it the third one
Answer:
(c-5)(3+4c)
Step-by-step explanation:
3c-15+4c^2-20c
4c^2-17c-15
Berry Method
4*(-15)=-60
What two numbers multiply by each other to get -60 but add up to -17
-20 and 3
[tex]\frac{(4c+3)(4c-20)}{4}[/tex]
(4c+3)(c-5)
In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 357 grams of copper. How many grams of zinc does it contain?
Answer:84
Step-by-step explanation:
NEED HELP ASAP, WILL GIVE BRAINLIEST
Which rectangular equation represents the parametric equations x = 2sec(t) + 1 and y = 6tan(t)?
Answer:
A.)
Step-by-step explanation:
literally guessed but was right lol
Option first is correct.
What is rectangular equation?A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.
According to the given question
We have
x = 2sec(t) + 1 and y = 6tan(t)
Now the above expressions can be written as :
x -1 = 2sec(t)
⇒ [tex]sec(t)\frac{x-1}{2}[/tex]
similarly,
[tex]\frac{y}{6} = tan(t)[/tex]
From trigonometric identities we know that
[tex]1 + tan^{2} \ t = sec^{2} \ t[/tex]
Substitute the value of tant and sect in the above identity
[tex]1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}[/tex]
⇒[tex]\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1[/tex], this is the required rectangular equation.
Hence, option first is correct.
Learn more about rectangular equation here:
https://brainly.com/question/12718642
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(PLEASE HELP ME ASAP
a) The length of a rectangle is 3 m longer than its width and the area of the rectangle is 108 m². Find its length.
A snake dives towards deeper water at a rate of 18 inches per second. If the snake continues at this rate for a total of 9 seconds, which expression represents this situation?
can someone help me with my math pels
Answer:
just do that quik mafs
Step-by-step explanation:
What is m∠ABC?
A. m∠ABC = 60°
B. m∠ABC = 67°
C. m∠ABC = 120°
D. m∠ABC = 127°
Brainlist for the correct answer
Answer:
The answer is D I'm not sure
Answer:
127 degrees
Step-by-step explanation:
When you add up all three angles of a triangle, the sum will always be 180 degrees. Just add up the two known angles and that will equal Angle ABC because a straight line also equals 180 degrees
a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars
Answer:
68.75%
Step-by-step explanation:
First you do 54 - 32 to get 22.
Then you divide 22 by 32 to get the decimal 0.6875
Finally, you multiply 0.6875 by 100 to get 68.75% :D
Answer:
68.73% more cars were sold
Step-by-step explanation:
from 32 cars that represented 100% went to 54 so is a diference of 54-32=22
Now what percentage of 32 is 22?
32 is 100%
22 is x%
x=(22*100)/32=2200/32=68.73%
Which orchard would be cheaper to visit if the class has 12 students?
Orchard A) admission costs $9 per person and 3 chaperones are required.
Orchard B) the cost is $10 per person, but only 1 chaperone is required.
Answer: orchard B
Step-by-step explanation: (orchard A) if you were to only bring the 12 students, the cost would be $108. But since it requires 3 chaperones you’d add 3 to the already 12 students making the full cost $135.
(Orchard B) if you were take only the 12 kids to the orchard it would cost you $120 but because it requires ONLY 1 chaperone, the final cost would be $130. allowing it to be $5 dollars less than what Orchard A would cost.
QUESTION ONE:
Solve for h.
Answer:
h = - 105
Step-by-step explanation:
Given
[tex]\frac{h}{14}[/tex] = - 7.5 ( multiply both sides by 14 to clear the fraction )
h = - 105
Answer:1.86
Step-by-step explanation:
will give brinley crown thing! show your work and explain...
- 109 + 9x = 86 - 4x
Answer: x=15
Step-by-step explanation: it’s all in the picture hope this helps!
Answer: x= 15
Step-by-step explanation:-109+9x=86-4x
⇒13x-195=0
⇒13x=195
⇒x=
195
13
⇒x=15
Charlie runs each lap in 6 minutes. He will run at most 42 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answer:
n<=7 (less than or equal to)
Step-by-step explanation:
42/6=7, so 7 is the max number of laps he will run.
Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simplify an expression for the total number of coins nancy and bill have
Answer:
Total number of coins Nancy and bill have = 6x - 5
Step-by-step explanation:
Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .
Let
Number of Nancy's coins = x
Number of Bill's coins = 5x - 5
Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins
= x + (5x - 5)
= x + 5x - 5
= 6x - 5
Total number of coins Nancy and bill have = 6x - 5
help plz ...............
Answer:
1.869 more miles
Step-by-step explanation:
the formula is
[tex]distance\:of\:jake-distance\:of\:tom\\\\=4.89-3.021\\\\=1.869miles[/tex]
Answer:
1. 869 miles farther
Step-by-step explanation:
4.89-3.021= 1.869miles
Therefore, Jake went 1.869 miles farther than Tom did.
Find the midpoint. Help pleaseeee
Answer:
0.5
Step-by-step explanation:
Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =
[tex] \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5[/tex]
Mrs. Ford spent $300 to buy some premium tea leaves. If
the price of the tea leaves had been reduced by $50 per kg,
she could have bought 0.5 kg more. Find the original price
per kg of the tea leaves.
Answer:
$70
Step-by-step explanation:
Answer:
The answer is $70
Step-by-step explanation:
use the table to find the slope
PLA ANSWER I DONT KNOW THIS
Answer:
x=45
Step-by-step explanation:
I can give you two solutions
First solution:
In [tex]\triangle FBA[/tex] we know that
[tex]\angle BFA + \angle FAB + \angle ABF=180\\\\90+x+\angle ABF =180\\\\\angle ABF =90-x[/tex]
same case for [tex]\angle EBC[/tex] in [tex]\triangle ECB[/tex]
so we have that
[tex]\angle ABC = \angle ABF + \angle FBE +\angle EBC\\\\\angle ABC = 90-x+45+90-x\\\\\angle ABC = 180+45-2x[/tex]
we leave it like that because it's convenient
Now by properties of parallelograms we know that opposite sides add up to 180
[tex]\angle FAB + \angle ABC = 180\\\\x+180+45-2x=180\\\\x+45-2x=0\\\\45-x=0\\\\x=45[/tex]
so one angle is 45 and the other one is 135
Solution 2
if we look at DEBF we can say that it's a cyclic quadrilateral
because opposite sides add up to 180
in our case
[tex]\angle DFB = 180 -\angle BFA = 180-90 = 90\\\\\angle DEB = 90\\\\\Rightarrow \angle DFB + \angle DEB = 180\\\\[/tex]
so for the other to angles is also true
[tex]\angle FDE + \angle EBF = 180\\\\\angle FDE +45 = 180\\\\\angle FDE = 135[/tex]
so that's the measure of one angle of the parallelogram
the other angle x is
[tex]\angle EDF + \angle FAB = 180\\\\135+x=180\\\\x=45[/tex]
There you go choose yourself
is there anybody taking the algebra test in texas i would really appreciate the answeres
Answer:
which one, i just took a test, and im from texas
Step-by-step explanation:
The sum of interior angles of a regular polygon is 1080.Find the size of each exterior angle
Answer:
45
Step-by-step explanation:
Calculation to Find the size of each exterior angle
First step is to calculate the sum of interior angles of a polygon using this formula
Sum of interior angles of a polygon =S=(n-2)*180
Let plug in the formula
Sum of interior angles of a polygon=1080=(n-2)*180
Cross multiply
1080/180=n-2
6=n-2
Add 2 to both sides
6+2=n-2+2
n=8
Now let Find the size of each exterior angle using this formula
Size of each exterior angle=360/n
Where,
n represent numbers of sides of the polygon
Let plug in the formula
Size of each exterior angle=360/8
Size of each exterior angle=45
Therefore the size of each exterior angle will be 45
Answer:
45
Step-by-step explanation:
Randall collects postcards that his friends
send him when they travel. He can put
6 cards on one scrapbook page. How
many pages does Randall need to fit
42 postcards? (SHOW YOUR WORK/STEPS)
Answer:
7pages
Step-by-step explanation:
42÷6= 7
You are dividing how many postcards you have with how many you can fit on one page. If you divide them, you will get your answer.
Randall needs 7 pages to fit 42 postcards.
A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term
Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
So if a video that is 15:34 how long is it when 2 times speed
tip: times 15 min. buy 60 then divdie all of the sec. by 2
Answer:
7:47
Step-by-step explanation:
Here are two ways of solving this:
The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.
Method 1)
Use the tip. The video is 15 minutes and 34 seconds long.
Convert minutes to seconds: 15 * 60 = 900
Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds
The video is 934 seconds long.
Divide the total seconds by 2: 934/2 = 467
467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds
Answer: 7:47
Method 2)
Divide the minutes by 2 and divide the seconds by 2.
15 minutes and 34 seconds.
Divide minutes by 2: 15/2 = 7.5
Divide seconds by 2: 34/2 = 17
Now we need to add 7.5 minutes and 34 seconds.
0.5 minutes is half a minute, so it's 30 seconds.
7.5 minutes + 17 seconds =
= 7 minutes + 0.5 minute + 17 seconds
= 7 minutes + 30 seconds + 17 seconds
= 7 minutes + 47 seconds
= 7:47
Answer: 7:47
5. A train travels two different routes: the North Route and the South Route. • On Monday, the train traveled the North Route 8 times and the South Route 10 times, traveling a total of 410 miles. • On Tuesday, the train traveled the North Route 15 times and the South Route 11 times, traveling a total of 575 miles. How long is each route?
Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = [tex]\frac{410 - 10y}{8}[/tex] ................. 3
Substitute the expression for x into equation 2,
15([tex]\frac{410 - 10y}{8}[/tex]) + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x = [tex]\frac{410 - 10y}{8}[/tex]
= [tex]\frac{410 - 10(25)}{8}[/tex]
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
2x+4x -17y
I need the answer please
Answer:
6x-17y
Step-by-step explanation:
2x+4x-17y
6x-17y
matching math game help!
Answer:
dude your math period is way too long
Answer:
dude your math period is way too long
What is the constant variation of 2x+y=-4?
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
What is the constant variation of Y 1 2x?
The constant of variation, k , is 12 .
Step-by-step explanation:
yeet yeet yeet
Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted
How many mammals were there when they were originally counted?
Enter your answer in the box
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The y-intercept.is 75.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Step-by-step explanation:
im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.