Select the correct answer from each drop-down menu.

Use the given functions represented by the equation and the graph to complete the statements.

f(x)=2x^3 - 3x^2 + 5x + 7

As x approaches positive infinity, f(x) approaches [negative infinity, positive infinity, zero] and g(x) approaches [negative infinity, positive infinity, zero]. The y-intercept of function f is [equal to, less than, greater than] the y-intercept of function g.

Select The Correct Answer From Each Drop-down Menu. Use The Given Functions Represented By The Equation

Answers

Answer 1

Answer:

f(x) approaches positive infinity.

g(x) approaches negative infinity.

the y-intercept of f(x) is less than the y-intercept of g(x).

Step-by-step explanation:

the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.

therefore, with x going to positive infinity, also f(x) goes to positive infinity.

the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.

the y-intercept of f(x) = f(0).

that means the functional value when x=0.

so, for x=0 this means

y = 2×0³ - 3×0² + 5×0 + 7 = 7

the graph of g(x) shows that g(0) is 8.

so f(0) is less than g(0).

Answer 2

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

How to analyze the behavior of two given polynomials

Polynomials are algebraic expressions whose form is described below:

[tex]y = \sum \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex]     (1)

Where [tex]c_{i}[/tex] is the i-th coefficient of the polynomial.

In this question we have two polynomials in two distinct presentations, an analytical and a graphical one, whose behaviors must be analyzed to fill the blanks of the paragraph given. The complete paragraph is shown below:

As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5

To learn more on polynomials, we kindly invite to check this: https://brainly.com/question/20121808 #SPJ5


Related Questions

Complete the table. Function: f (x) = x+2

Answers

3 : (5)
4:(6)
7:(8)
8:(9)

A gnat's eye is 0.012
inches wide. A fly's eye is
2.4 x 10-1 inches wide.
How much larger is the
fly's eye?

Answers

22 because i really don’t know but i really want some points so sorry

A watch that originally cost $110 has been marked down to $88. What is the percent of the markdown?

12%
10%
25%
20%

Answers

Answer:

20%

Step-by-step explanation:

110-88=22

22/110=20

Evaluate -8•|2|
-10
10
-16
16

Answers

Answer:

-16

Step-by-step explanation:

-8•|2|

Absolute value means take the positive value of the number inside

-8 * +2

Multiply

-16

The temperature in Anchorage, Alaska one morning was -8 degrees Fahrenheit. It rose slightly, increasing only 10 degrees by lunchtime. By dinnertime, the temperature had fallen 8 degrees. What was the ending temperature?

Answers

Answer:

The ending temperature was -6 degrees Fahrenheit.

Step-by-step explanation:

First, it was -8 degrees

Then, it was -8+10=2 degrees

Lastly, it was 2-8=-6 degrees

11. What is the perimeter of the garden?

Answers

Answer:

19[tex]\frac{1}{4}[/tex] or 18[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

First, add the whole numbers

3, 7, and 8

18

Add the fractions

[tex]\frac{1}{2}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{5}{4}[/tex]

IF YOU WANT SIMPLIFIED NUMBER DO THIS

[tex]\frac{5}{4}[/tex]=1[tex]\frac{1}{4}[/tex]

18+1[tex]\frac{1}{4}[/tex]=19[tex]\frac{1}{4}[/tex]

6. Find the area of the figure below. Round to the hundredths place.​

Answers

Answer:

300.94 sq.m

Step-by-step explanation:

A solid in the shape of cylinder with two hemisphere to each of its ends.

Length of the entire solid = 18 mDiameter of the solid = 7 mRadius of hemisphere , r = 7 / 2 = 3.5 m

To findTotal surface area

Formula UsedCurved surface area of hemisphere= 2π ×r ²Curved surface area of cylinder = 2 π × r × h

Solution :-

Finding, the Curved surface area of cylinder

Calculate the height of cylinder

Height of cylinder = total length of solid - 2 × radius of hemisphereHeight of the cylinder = 18 m - 2 × 3.5= 18 m - 7 m

Height of cylinder = 11 m

Now, we have

Height of cylinder = 11 m

Radius of cylinder = 7 / 2 = 3.5 m

Using Formula :-

Curved surface area of cylinder = 2× π × r × h

Substitute the values

Curved surface area of cylinder = 2π× 3.5m×11m.

Using the value of π = 3.14

Curved surface area of cylinder =2×3.14× 3.5m × 11 m.

multiply, we get.

Curved surface area of cylinder = 241.78 m².

Finding curved surface area of hemisphere

Using Formula

Curved surface area of hemisphere = 2 × π × r²

substitute the values into the formula

Curved surface area of hemisphere = 2 π × ( 3.5 )²

Evaluate the exponent

Curved surface area of hemisphere =2π×12.25m².

Using value of π = 3.14

Curved surface area of hemisphere = 2 × 3 14 × 12.25 m ²

multiply , we get

Curved surface area of hemisphere = 76.93 m².

Find the total area

Total area of capsules = Curved surface area of cylinder + 2 (Curved surface area of hemisphere)

Total surface area of capsules = 241.78 m²+ 2 × 76.93 m².

Total surface area = 241.78m² + 153.86m².

Subtract and finally we get

Total surface area = 395.64 m ²

A cube has a side length of 5xcm. What is the volume of the cube?
no links please.​

Answers

Answer:

125 cm

Step-by-step explanation:

[tex]V=lwh[/tex]

all cube has the same length, width, height

5 * 5 * 5 = 125

Hope this helps

Anyone will have time to do this for me pls?

Answers

x= -4

y= -7

Hope it helps you...

I don’t really know I don’t really know I don’t really know I don’t really know I don’t really know. I don’t really know

Mr. Brutry ordered 78 pencils for the students in his class. He ordered enough pencils for each student to have exactly 3
pencils.
How many students are in Mr. Bruno's class?
Use a letter to represent the number of students in Mr. Bruno's class.
Write an equation and use it to solve the word problem.

Answers

Answer:

He has 26 students

Step-by-step explanation:

78/3=26

Hey there, Please help me. Thank you

Answers

Answer:

(-5,-15)

Step-by-step explanation:

Answer:

(-5,-15)

Step-by-step explanation:

3x=2x-5

-2x  -2x

x=-5

y=3(-5)

y=-15

help please!!..........

Answers

Answer: 0.36

Hope this helps...

Have a great day.

Find the sum of the arithmetic series...........
3 + 5 + 7 + 9 + 11 + for 100 terms.

Answers

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]

Which expression is equivalent to the given expression?

Answers

Answer:

Step-by-step explanation:

20cd^-1

Help me please no links no

Answers

Answer:

x/4

Step-by-step explanation:

x + 4/4 = y + 3/3

do cross multiplication

4(y +3)=3(x +4)

4y +12=3x +12

4y=3x + 12 -12

4y=3x

y/3 = x/4

PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASE
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the vertex for this function:
h(x) = (x - 5)2 - 7.

Answers

Answer:

Step-by-step explanation:

First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.

Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).

Hope this helps!

:)

Which of the following graphs is the solution set of -10 < 3x - 4 < 8?

Answers

Answer:

3rd option

Step-by-step explanation:

Solving the inequality

- 10 < 3x - 4 < 8 ( add 4 to each interval )

- 6 < 3x < 12 ( divide each interval by 3 )

- 2 < x < 4

Since -2 less than x and x less than 4

This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.

The solution is represented on the 3rd graph

Answer:

its the 3rd graph

Step-by-step explanation:

Find the number of sides of a regular polygon if exterior angle of the polygon is:- (a) 90 (b) 45 (c) 12 (d) 4

Answers

Answer:

8 sides

Step-by-step explanation:

THE QUESTION IS NOT COMPLETE, SO A QUESTION OF THE SAME TYPE

Find the number of sides of a regular polygon if exterior angle of the polygon is 45°?

NOTE:

Sum of the exterior angles of any regular polygon is known as (360°)

But from the question,

Each exterior angle is given as( 45°)

Number of sides of a regular polygon can be computed as

(360°/Each exterior angle)

Then substitute the give value of exterior angle, we have

= (360°/45) = 8 sides


[tex] \frac{12}{20} - \frac{30}{20} [/tex]

Answers

Answer:

-9/10

Step-by-step explanation:

12/20 - 30/20

Since the denominators are the same, we can subtract the numerators

12-30 = -18

Put this over the denominator

-18/20

Simplify by dividing the top and bottom by 2

-9/10

The answer is -9/10. Hope this helps

what is 20/100 in it's simplest form?

ik this i just wanna give someone my points lol

Answers

Answer:

1/5

Step-by-step explanation:

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

Answer :-

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

[tex] \tt \: \verified \: \: \: \red{ \checkmark}[/tex]

ZABC and ZQRS are complementary angles. If the measure of ZABC= 41º, what is the measure of ZQRS?​

Answers

Answer:

m∠QRS = 139°

Step-by-step explanation:

yes

All of the following numbers are rational except _____.

Answers

Answer:

What are the numbers?

Step-by-step explanation:

I can help if you give the numbers :)

15 years from now Ravi's age will be 4 times his present age what is Ravi's present age​

Answers

Answer:

Ravi’s present age will be 5.

Step-by-step explanation:

From the given, Let Ravi’s present age is taken as "a" years.  

After 15 years, his age = (a+15) years.  

By the given, it is identified that the age of Ravi after 15 years is equal to the 4 times of his present age.

Given,  

[tex]a+15+4a\\4a-a+15\\3a=15\\a=15/3\\a=5[/tex]

Then, it has been found that the present age of Ravi is 5 when his age after 15 years will be 4 times of his present age.  

6 I think Sry if I wrong________

point e is the midpoint of ca and bd. which statements about the diagram are true?

Answers

Answer:

Step-by-step explanation: i don’t know to be honest

In the diagram beside QRS is a straight line QP/RT ‹ PRQ = 56 ‹ QPR = 84 and ‹+RS X° X find x​

Answers

Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

HELP ASAP!!! Identify y.

Answers

Answer:

y=2

Step-by-step explanation:

53y–16= 90

53y=90+16

53y=106

y=106/53

y=2

Answer:

y = 2

Step-by-step explanation:

If one side of a triangle inscribed in a circle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle.

Therefor

53y - 16 = 90

add 16 to both sides

53y = 106

Divide both sides by 53

y = 106/53

y = 2

Please help

Find the range of the given data set.

Answers

Answer:

5/8

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 1 1/4 and the smallest number is 5/8

1 1/4 - 5/8

Getting a common denominator

1 2/8 - 5/8

Borrowing from the 1 in the form of 8/8

8/8+2/8 - 5/8

10/8 - 5/8

5/8

Answer:

5/8

Step-by-step explanation:

because 1 1/4 is 5/4 then x2 which is 10/4 so now you 10/4 - 5/8 which equals 5/8 as the difference.

50 POINTS

Find the approximate values of the five-number summary for the data set represented by this box plot.

Answers

Answer:

From the box plot we get:

Minimum - 14Maximum - 88Quartile 1 - 34Quartile 3 - 65Median - 48

Answer:

the other person is correct!

Step-by-step explanation:

Show them some love <3!

HELLPPPP LIKE ASAP PLEASE!! Each of these numbers represents the score that a student got on a set of math tests. What is the median of this set of data?



86, 72, 65, 82, 91, 94

NO LINKS!

Answers

Answer:

81.66 repeating

Step-by-step explanation:

86+72+65+82+91+94=490

490÷6=81.66 repeating

EDIT: this answer is false

81.66 repeating would be the annoying

Mrs. Easton plans to hire a balloon artist for her daughter's birthday. The graph shows the cost per hour to hire the artist.



If there are more than 10 children at the party, the balloon artist charges an additional supply fee of $35. There will be 15 children at the Easton party. How much will the balloon artist charge Mrs. Easton for a party that is 4.5 hours long?


Multiple choice question.




A)

$60.25




B)

$67.50




C)

$98.75




D)

$102.50




Help ASAP

Answers

Answer: A

Explanation:

Answer:

I believe it is A) 60.25

Step-by-step explanation:

If it is not correct, let me know.

Other Questions
find the area of the figure belowA.832in^2B.768^2C.416^2D.384in^2 What is geography????? What is the visual effect of the excerpt the reader visualizes a scene of character working together The reader visualizes an apology between the characters The reader visualizes a scene of conflict and chaos The reader visualizes the attitudes of the characters The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of RT and R1, what is R2 R2 blank is ohms Which expressions are equivalent to62?Select all that apply.O 6-87.126-2676712712 Question: An expression is shown below: f(x) = x^2 6x + 5 Part A: What are the x-intercepts of the graph of f(x)? Show your work. Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. Which statements best explain how students would know if a chemical reaction occurred during the steel wool demonstration? Select TWO correct answers from the choices below. EJEMPLOS DE SOLUCIONES QUMICAS EN LA NATURALEZA Which of the following best describes the relationship between the nucleus and the cytosol?A. The cytosol is a fluid that fills the inside of the nucleus. B. The nucleus is an organelle that synthesized the cytosol. C. The nucleus is an organelle surrounded by the cytosol. D. The cytosol is an organelle that is attached to the nucleus. What is the value of a in the function equation? The shareholders of Flannery Company have voted in favor of a buyout offer from Stultz Corporation. Information about each firm is given here: pleaaseee explain !! can you solve this problem please Who is the first prime minister in America A hardware store ordered 200 cans of wood stain in various shades. The written contract between the store and manufacturer provided that 100 cans of stain would be delivered on April 30, and the remaining 100 cans would be delivered on June 30. Payment would be due at the time of each delivery. The first shipment arrived on April 30. Sales of the stain were brisk, but 25 customers almost immediately returned their stain, complaining that it was not the color indicated on the can. The store owner called the manufacturer and informed it of the problem. The manufacturer truthfully told the owner that they had had a small problem with their labeling machine and a few cans in the store owner's lot must have been mislabeled before they caught the problem. The manufacturer offered to replace all 100 cans from the original order. The store owner refused the offer and told the manufacturer not to deliver the second lot, because he could no longer trust the manufacturer. The owner was very sensitive to the hardware store's good reputation, which he felt was harmed by this incident. If the manufacturer brings a claim of breach regarding the second shipment which was due on June 30, how will the court likely rule Define computer with its prossing meaning I need help please :) problemas da frica austral de hoje Find the surface area of a square pyramid with side length 4 and slant height 5. Name and explain ways the Europeans ruled or exerted control over their overseas colonies.