Description of End behavior "-x^4-x^3+3x^2+2x+6"
Answers
The end behavior of the function is f(x) → -∞, as x→ -∞ and f(x) → -∞, as x→ +∞.
What is the end behavior of a function?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
For extremely big or very tiny values, the leading coefficient is more important than the other function coefficients. Therefore, it is sufficient to forecast the function's final behavior based on the sign of the leading coefficient.
The given function is -x⁴ -x³ +3x² +2x +6
The degree of the given function is even and the leading coefficient is negative. So,
End behavior is given by
f(x) → -∞, as x→ -∞
f(x) → -∞, as x→ +∞
The graph looks as follows:
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Related Questions
Find the sum of the measures of the interior angles of each convex polygon.
Answers
Answer:
Step-by-step explanation:
interior angles of polygons:
180(n-2)
1. =180(11-2)
=180(9)
=1620
2. 180(17-2)
=180(15)
=2700
In a company, 85% of the workers are women. If 675 people work for the company who aren't women, how many workers are there in all?
Answers
Answer:
so there are 3825 worker in total
Step-by-step explanation:
675=15%
women=85%
how much workers are 5%=675/3 =225
225=5%
how many workers is 85%= 85/5=17
85%=225x17=3825
Use the diagram and the given angle measure to find the other three measures
Answers
The other three measures are:
∠1 = 159°∠2 = 21°∠4 = 21°What is Angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.This, I assume, refers to two lines that cross and create four angles.
The sum of the additional angles 2 and 3 is 180°.Angles 2 and 3 equal 180°.159⁰ + angle 2 = 180⁰angle 2 = 180⁰ - 159⁰angle 2 = 21⁰The same applies to angles 2 and 4 since angles 1 and 3 are vertical angles.
Since vertical angles are congruent in measure, it is simple to determine their measurements.
Hence, the three measures are:
∠1 = 159°∠2 = 21°∠4 = 21°To learn more about Angles click on the link
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I need help with this
Answers
Solution
From given equation
Slope = -2
and y-intercept is (0,0)
Therefore,
if we put x= 0
then y = -2*0 = 0
if we put x = 1
then y = -2*1 = -2
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Solution
From given equation
Slope = -2
and y-intercept is (0,0)
Therefore,
if we put x= 0
then y = -2*0 = 0
if we put x = 1
then y = -2*1 = -2
for graph plotting, see the attachment.
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Create a table to show how the number of days is related to
the number of hours. Show at least 5 days,
24
b.
Is the relationship proportional?
c. Write an equation for the relationship.
Answers
Proportionality denotes a linear relationship between two quantities or variables.
A. Table is mentioned below.
B. Yes, it is a proportional relation.
C. y = 1/24 x
What is meant by proportional?A linear relationship between two quantities or variables is referred to as proportionality. If one quantity doubles in size, the other does as well; if one variable decreases to one-tenth of its previous value, the other does as well.If the ratio or relationship between y and x is the same or constant, the quantities are proportional: y/x = k, where k is the proportionality constant.When two quantities are proportional, it means that as one increases, so does the other, and the ratio of the quantities remains constant across all values.Consider a circle's circumference and diameter; the ratio of the two values equals pi.Therefore,
Part C : We know that,
1 day = 24 hours,
⇒ 1 hour = 1/24 day
As a result, the number of days in x hours (say y) = hours number of days in each hour
⇒ y = 1/24 x
Which is an equation of line.
Part A :
Hours 1 2 3 4 5
Days 1/24 1/12 1/8 1/6 5/24
Part B :
∵ a line passes through the origin always shows a proportional relation,
Since, for (0, 0),
0 = 1/24 (0) ( True )
i.e. there is a proportional relation between number of days and number of hours.
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the price of a car was increased by 4% to £22 what was the price before
Answers
13.80
Step-by-step explanation:
22 - 4% is your answer
find the domain and range of the function !! NEED NOW
Answers
Answer:
Domain = { -2 , 0 , 2 , 4 }
Range = { 3 }
Step-by-step explanation:
Domain is the x-values that the Function have and Range is the y-values that the Function have corresponding to these x-values
Since the x-values for the Function attached are -2 , 0 , 2 , 4
and the y-values for the Function is 3
Then the Domain = { -2 , 0 , 2 , 4 }
and the Range = { 3 }
Glad to Help
if
x/y=y/z=z/x
show that x=y=z
Answers
Step-by-step explanation:
x/y = y/z = z/x
x = y²/z = zy/x and y = z²/x
x = y²/z
putting this into the 3rd part of the original equation :
z/x = z/ y²/z = z²/y²
now using the y identity of the second part there :
y = z²/x
z²/y² = z² / z⁴/x² = x²/z² (= z/x per previous equation)
so,
x²/z² = z/x
x³/z³ = 1
x/z = 1
x = z
then
y/z = y/x = z/x (= 1)
and therefore,
y/x = z/x meaning
y = z (and therefore = x)
so,
x = y = z
what 29,000 divided by 50,000
Answers
Answer:
.58
Step-by-step explanation:
observation refers to the . a. mean of all variable values associated with one particular entity b. estimated continuous outcome variable c. set of recorded values of variables associated with a single entity d. goal of predicting a categorical outcome based on a set of variables
Answers
The correct option is c. that is observation is set of recorded values of variables associated with a single entity.
What is observation?
An observation is a case of the data being collected.
For example, if we were collecting data on students in the class, the observations would be each individual student in the class. It could be the student's height, weight, marks scored, etc.
A variable is an attribute or characteristic of the observation we record in our data.
Also an observation in statistics is a value of something of interest measured or counted during a study or experiment: a person’s height, a bank account value at a certain point in time, or number of animals.
Therefore from the given option c is correct.
Observation is set of recorded values of variables associated with a single entity.
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Write the linear equation in the slope intercept form.
(-6,0); slope= 2/3
Answers
Answer:
Step-by-step explanation:
y=2/3x+4
48+3u=9u
Solve for u
Answers
Answer:
u=8
Step-by-step explanation:
48+3u=9u
-3u both sides
48=6u
divide by 6 on both sides
8=u
Sabrina needs more than 42 ft.³ of soil to top up her raised garden bed. each bag of soil contains 1.75 ft.³. Write and solve any inequality to find how many bags of soil Sabrina needs
Answers
The inequality that represents the quantity of bags of soil Sabrina needs is 1.75x > 42
The bags of soil needed is 24 bags
What is inequality?Inequality as used in math refers to relations that are not precisely equal
How to determine the bags of soil Sabrina needsSabrina needs more than 42 ft.³ of soil to top up her raised garden bed
> 42 ft³
each bag of soil contains 1.75 ft.³
let the number of bags of soil be x, such that
1.75x > 42
x > 42 / 1.75
x > 24
Sabrina needs at least 24 bags of soil
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What is the equation of the line that passes through the points (-2, 1) and (6, 3)?
Answers
Answer:
y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex]
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 )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )
m = [tex]\frac{3-1}{6-(-2)}[/tex] = [tex]\frac{2}{6+2}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex] , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (6, 3 ) , then
3 = [tex]\frac{3}{2}[/tex] + c ⇒ c = 3 - [tex]\frac{3}{2}[/tex] = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ← equation of line
What is the equation of the line that passes through the point (-4, 3) and slope of 3/4
Answers
The equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.
According to the question,
We have the following information:
We have the point (-4,3) and a slope of 3/4.
We know that the following formula is used to find the equation passing through any point:
(y-y') = m(x-x') where m is the slope and in this case, y' = 3 and x' = -4
y-3 = 3/4{x-(-4)}
y-3 = 3/4 (x+4)
Multiplying 3/4 into the bracket:
y-3 = 3x/4 + 3
Moving -3 from the left hand side to the right hand side:
y = 3x/4+3+3
y = 3x/4+6
Hence, the equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.
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Samuel orders four DVDs from an online music store. Each DVD costs $9.97. He has a 25% discount code, and sales tax is 7.75%. Round sales tax amounts to the nearest cent. What is the total cost of his order?
Answers
The total cost of his order of DVDs will be $32.23.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Samuel orders four DVDs from an internet-based music store. Every DVD costs $9.97. He has a 25% markdown code, and the deal charge is 7.75%.
The cost of DVDs after discount will be given as,
⇒ 4 x $9.97 x (1 - 0.25)
⇒ $29.91
The cost of DVDs after tax will be given as,
⇒ $29.91 x (1 + 0.0775)
⇒ $32.23
The total cost of his order of DVDs will be $32.23.
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The sum of the present ages of a brother and his younger sister is 16 years. If the product of their age is 63, find their ages.
Answers
Answer:
Let the age of brother be x and that of a sister be y.
(x+y) =16
(x) ×(y) =63
Using the substitution method, x=16-y
Substitute in equation 2
(16-y)(y)=63
16y-y^2=63
Y^2-16y+63=0
P=63
Sum= -16
Factor=(y-7),(y-9)
(y-7)(y-9)=0
Therefore y=7 or y=9
Therefore age of brother = 16-7 =9 0r 16-9=7
Therefore their ages are 9 years and 7 years
Lola received $522.50 when she cashed her paycheck. Why is this important to us?
Because you can also cash a check at a bank if you have an account there.
If you have a checking account, you can write and mail a check to pay your bills. The bank will withdraw the money from your account.
As long as you have enough money in your account (as much or more than what you're trying to cash), you can cash a check and get money back immediately.
You can deposit money into a savings account. A savings account is a good way to save your money and earn money called interest.
Banks also offer electronic services. You can use these services even when the bank is closed.
Some banks have more than one branch or office. Use the branch closest to you if you are in a different town or state. All branches will have access to your account information.
Monica cashed her paycheck at Ready Cash. The fee at Ready Cash to cash a check is 10% of the amount of the check. Her paycheck was $538. how much was the fee for Monica to cash her paycheck
Answers
Answer:
$53.8.
Step-by-step explanation:
10% of $538 is like saying 538 times .10. After you multiply, you get $53.8 as the fee that Monica had to pay.
Given the function:
y = 3x^2 − 10
What can replace y?
What is the range if the domain value is 3?
Answers
f(x) can be used to replace y and the range at the domain of 3 is 17
How to determine what can replace y?From the question, the equation is given as
y = 3x² - 10
The above means that y is a function of x
This means that we can replace y with f(x) which means "a function of x"
The range at the domain valueHere, we have
Domain value = 3
This means that
x = 3
So, we have
y = 3(3)² - 10
Evaluate
y = 17
Hence, the range is 17
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8x - 4 = 12x + 6 + x
Answers
Answer:
X = −2
Step-by-step explanation:
Combine 12x and x to get 13x. Subtract 13x from both sides. Combine 8x and −13x to get −5x. Add 4 to both sides. Add 6 and 4 to get 10. Divide both sides by −5. Divide 10 by −5 to get −2.
Answer: x= -2
Step-by-step explanation:
8x-4=12x+6+x
8x-12x-x=6+4
-4x-x=10
-5x=10
x= -2
Alexa conduct a scientific experiment. For certain time, The temperature of a compound rose 3 1/2° every 2/3 of an hour. How much does a temperature of the compound rise in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!!
Answers
The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Answers
Answer:
Step-by-step explanation:
What is the perimeter of the composite figure?
(Round to the nearest tenth)
Answers
The perimeter of the composite figure would be = 21 (to the nearest tenth).
What is perimeter?Perimeter is defined as the quantity that is used to evaluate the total length of the sides of an object.
From the given diagram, the composite figure is made up of 6 sides. The addition of these sides is the figures perimeter.
The sides of the composite figure are:
a = 6; b = 12; c = 9; d = 9; e = -9; f = -6.
The perimeter = a + b + c + d + e + f.
= 6 + 12 + 9 +9+ (-9) + (-6)
= 27 - 6
= 21 ( to the nearest tenth)
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find the percentage increase or decrease in each case:
Original value = 70 m3
New value = 98 m3
Answers
(98 × 100) ÷ 70
= 140%
or
[(98 - 70) × 100] ÷ 70
2800 ÷ 70
40%
basically, 40% increase
Dan and Sydney are getting high-speed Internet access at the same time. Dan's provider charges $60 for installation and $42.95 per month. Sydney's provider has free installation and charges $52.75 per month. After how many months will Dan and Sydney have paid the same amount for high-speed Internet service?
Pls someone answer this, it’s due in a couple mins
Answers
The number of months till Dan and Sydney would have paid the same amount for the high-speed Internet service is 6.12 months
How to find the number of months?Assuming the number of months is denoted as x, the total cost equation for Dan's provider would be:
= Installation cost + internet charge per month x number of months
= 60 + 42.95x
The total cost equation for Sydney's provider is:
= Installation cost + internet charge per month x number of months
= 0 + 52.75x
= 52.75x
To find the number of months till Dan and Sydney pay the same amount, equate the equations:
60 + 42.95x = 52.75x
52.75x - 42.95x = 60
9.8x = 60
x = 60 / 9.8
x = 6.12 months
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20 divided by cos70°
Answers
Answer:
31
Step-by-step explanation:
The solution of expression 20 divided by cos70° is,
⇒ 20 divided by cos70° = 58.82
We have to given that,
A number 20 divided by cos70°.
We can simplify the expression as,
20 divided by cos70°
⇒ 20 ÷ cos 70°
⇒ 20 / cos 70°
⇒ 20 / 0.34
⇒ 20 x 100 / 0.34x100
⇒ 2000/34
⇒ 58.82
Therefore, The solution of expression 20 divided by cos70° is,
⇒ 20 divided by cos70° = 58.82
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Write a linear function f with the values ƒ (0) = -3 and ƒ (7) = 11.
Answers
The linear function with f values f(0) = -3 and f(7) = 11 is f(x) = 2x - 3
What is a Linear Function?linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to the straight line. In case, if the function contains more variables, then the variables should be constant, or it might be the known variables for the function to remain it in the same linear function condition.
if f(0) = -3, it means at x = 0, f(x) = -3
and if f(7) = 11, it means at x = 7, f(x) = 11
So the Linear equation that will yield these results is f(x) = 2x - 3
In conclusion, the Linear function is f(x) = 2x - 3
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For every 8 candles that you sell, you raise $96. You raise $288.
How many candles did you sell?
Answers
Answer:
24
Step-by-step explanation:
Start by finding the unit price. Unit price is the term for finding the price of one unit of an item, often used in word problems. We find this by dividing the cost of an item after a certain amount is sold, by that amount.
[tex]96/8 = \$12[/tex]
Now, we know the unit price is 12. Divide the end value of everything you sold by the unit price, 12.
[tex]288/12 = 24[/tex]
Therefore, you sold 24 candles.
Hope this helps!
You have 84,000 grams of a radioactive kind of tellurium. How much will be left after 75
minutes if its half-life is 25 minutes?
grams
Answers
Answer:
10,500 g
Step-by-step explanation:
Half-life is the length of time it takes for half of the radioactive atoms of a radionuclide to decay. In this scenario, the amount of radioactive atoms is halved after 25 minutes. After 75 minutes, then, the amount of radioactive atoms is halved three times. Therefore:
1st half-life: [tex]84000\text{ g}\div{2}=42000\text{ g}[/tex]
2nd half-life: [tex]42000\text{ g}\div{2}=21000\text{ g}[/tex]
3rd half-life: [tex]21000\text{ g}\div{2}=10500\text{ g}[/tex]
arturo can have pizza for dinner on any four of the next eight days. how many different ways can he select the days on which to have pizza?
Answers
Arturo can select the days on which to have pizza in 70 ways using combination rule if he chooses any four of the next eight days.
What is combination?
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
In combinations, one can select the items in any order.
Number of combination of a objects chosen from n objects
ⁿCₐ = [tex]\frac{n!}{a! (n-a)!}[/tex]
According to the given question:
To select 4 days out of the next 8 days, use combination rule
ⁿCₐ = [tex]\frac{n!}{a! (n-a)!}[/tex]
⁸C₄ = [tex]\frac{8!}{4! (8-4)!}[/tex]
⁸C₄ = (8x7x6x5x4x3x2x1)/(4x3x2x1)(4x3x2x1)
⁸C₄ = (8x7x6x5)/(4x3x2x1)
⁸C₄ = 70
Therefore there are 70 ways Arturo can select the 4 days out of 8 to have pizza for dinner.
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