Let g(x)= -2(3x+4)(x−1)(x−3)^2 be a polynomial function. Name all horizontal and vertical intercepts of the graph. State the end behavior of g.

Answers

Answer 1

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

The end behavior is

as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

[tex]3x + 4 = 0[/tex]

[tex]x - 1 = 0[/tex]

[tex](x - 3) {}^{2} = 0[/tex]

We solve for x each time.

[tex]x = - \frac{4}{3} [/tex]

[tex] x = 1[/tex]

[tex]x = 3[/tex]

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

[tex] {0}^{y} = 0[/tex]

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

[tex]0 + 72 = 72[/tex]

Part C) End Behavior

The leading degree is even. Even Degree Polynomials like Quadratics tend to go approach positive infinity vertically as x approaches positive infinity, and as x approaches negative infinity, it approaches positive infinity vertically.

Our leading coefficient is negative so this means our quadratic will get reflected across the x axis.

Now this means, as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.


Related Questions

PLEASE HELP!

Create an equation to model a population of cells which starts with 10 cells and doubles in size every day. How many days will it take to reach 1,000,000 cells?

Answers

Answer:

100,000 days

Step-by-step explanation:

1,000,000 / 10 = 100,000 days.

Graph the line that passes through the points (-5,1) and (5, -5) and determine the equation of the line.​

Answers

Answer:

y = -3/5x - 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 5 - (-5)

-6/ 10

= -3/5

y = -3/5x + b

1 = -3/5(-5) + b

1 = 3 + b

-2 = b

Felix is now six times as old as Debbie. In twelve years time Felix will be two times as old as Debbie. How old are they​

Answers

Step-by-step explanation:

let debbie be x years

let felix be 6x years

in 12 years felix will be 2x older than debbie

do the calc

Monica hiked west from her campsite for 24 miles and then hiked north for 7 miles, as shown in the diagram.



What is the shortest distance Monica can hike to return to the campsite?





A. 25 miles
A. 25 miles,

B. 17 miles
B. , , 17 miles, , ,

C. 31 miles
C. , , 31 miles, , , ,

D. 41 miles

Answers

Answer: A. 25 miles

Step-by-step explanation: I used Pythagorean’s Theorem.

8a^3-36a^2+54a-27-64p^3​

Answers

Answer:

8a^3-64p^3-36a^2+54a-27

Step-by-step explanation:

since it no common variable so it can not be further solved

find the unknown size of angle​

Answers

Answer:

x = 60

2x = 120

2x + 30 = 150

2x - 30 = 90

Step-by-step explanation:

2x + 2x - 30 + 2x + 30 = 360

2x + 2x + 2x + 30 - 30 = 360

6x + 0 = 360

6x = 360

x = 360 / 6

x = 60

2x

= 2 x 60

= 120

2x + 30

= 120 + 30

= 150

2x - 30

= 120 - 30

= 90

Which best describes the relationship between the line that
passes through the points (1, -6) and (3,-2) and the line that
passes through the points (4,8) and (6, 12)?
A. parallel
B. same line
C. neither perpendicular nor parallel
D. perpendicular

Answers

Same line so the correct answer is b

Match each equation to its graph. Use the drop-
down menus to describe the equations.

Answers

Answer:

D.  y=x+1                   Linear

A.   y=x^2                 Quadratic

B.   y=(3/2)^x             Exponential

C.   y=x^2+2/x^2-2    Rational

Step-by-step explanation:

got it right :)

The correct option for the equations are:

y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C

What is a linear equation?

The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.

For example y=2x+3

What is a quadratic equation?

The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.

For example, y=3x²

Here given that the functions are given in the figure and we have to identify the appropriate graph.

Checking all the equations individually

y=x+1 the correct option for this equation is Option D as it is a linear equation that represents a straight line.y=x² the correct option for this equation is Option A as it is a quadratic equation that represents a parabola.y=(3/2)ˣ the correct option for this equation is Option B as it is an exponential equation that represents an exponential graph such as the graph of y=aˣ.y=(x²+2)/(x²-2) the correct option for this equation is Option C as from the equation it is clear that it is symmetrical about the y-axis and it is negative for the value x²<2⇒ -√2<x<√2 which matches with the graph in Option D.

Therefore the correct option for the equations are:

y=x+1 : Option Dy=x²: Option Ay=(3/2)ˣ: Option By=(x²+2)/(x²-2) : Option C

Learn more about linear equation

here: https://brainly.com/question/14323743

#SPJ2

plz help im dying to know the answer please hurry asap please

Answers

The first Picture is 10 degrees
number 1 is 10 degrees

The University of Detroit-Mercy is 3/4 miles from Dana's house. Marygrove College is 2/5 miles from her house. What is the difference in the two distances?​

Answers

Answer:

0.35 as a decimal and  7/20 as a fraction

Step-by-step explanation:

Can anyone answer this for me?

Answers

Answer:

y = 2 - [tex]x^{2}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex] results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

one-sixth of a number is 9



this question is all about equations

Answers

Answer:

1/6x = 9

x = 54

Step-by-step explanation:

Let x = number

1/6x = 9

Multiply each side by 6

1/6x * 6 = 9*6

x = 54

Answer:

1/6n = 9 ---> the equation

x = 54 ----> equation's answer

Step-by-step explanation:

The variable used can be either x or n, doesn't really matter.

It says 1/6th of a number is 9 --> write 1/6, n for the number, and then = 9

so, 1/6n = 9

Now, you are going to multiply each side by 6

1/6x * 6 = 9 * 6 --------> 54

x = 54

4. Given the diagram below what is the length of RS or the distance across a body of water?

Answers

Answer:

62 ft

i know its a late answer but i just did the test

If the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.

What is the congruent triangle?

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅. When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

It is given that the length of s ST is 62 feet and PS = PQ.

The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.

Since the one angle in both triangles is 90° and the two sides are equal the two triangles are equal.

The ratio of the sides is equal if the triangle is congruent. As a result,

PS / PQ = RS / ST

1 = RS / ST

RS =  ST

RS = 62 feet

Thus, if the length of ST is 62 feet the length of RS or the distance across a body of water will also be 62 feet.

Learn more about the congruent triangle here:

brainly.com/question/12413243

#SPJ5

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)

Answers

Part A: 23

Part B: 13

Part C: Median for the males

Mean for the females

Part D: The day the movie premiered

Process to arrive at the above answers

The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month

The known parameters

The 5 number summary in a are;

[tex]\begin{array}{lcc}\mathbf{Summary}&\mathbf{Males}&\mathbf{Females}\\\\Minimum &0&0\\First \ Quartile, \ Q_1&2&5\\Second \ Quartile, \ median, Q_2&20&7\\Third \ Quartile, Q_3&25&10\\Maximum &50&18\\Outlier&&46\end{array}[/tex]

Part A: The Inter Quartile Range, IQR = Q₃ - Q₁

For the males, we have, IQR = 25 - 2 = 23

Part B: The difference between the median values for the males and females is given as follows;

Difference between median = Q₂ Males - Q₂ Females

Difference between median = 20 - 7 = 13

The difference between the median values for the males and females = 13

Part C:

The distribution of the data for the males is skewed left, with almost all the data in the first half

The better measure of center for the skewed data is the median, given

that three quarter of the data have values that are less than half of the

range of values in the data set, and that the median is close to the third

quartile, the mean will be located further towards the minimum value of

the data than the median

The distribution of the data for the females consists of the interquartile

range located approximately in the middle between the max and the min

values with the median being close to the first quartile, therefore, the

mean will be a better measure of center as it will be located further from

the first quartile and closer midway in the IQR

Part D;

The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered

Learn more about box plots here;

https://brainly.com/question/16171899

https://brainly.com/question/20164121

https://brainly.com/question/17248599

Can someone help me solve this?

Answers

Answer:

m<c = 104°

m<d = 80°

Step-by-step explanation:

Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:

m<c + 76° = 180°

m<c + 76° - 76° = 180° - 76° (subtraction property of equality)

m<c = 104°

m<d + 100° = 180°

m<d +100° - 100° = 180° - 100° (subtraction property of equality)

m<d = 80°

Simplify the following expression.

Answers

Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

now multiply 4 and the third power of 2  (the third power of 2 is 2x2x2=8)

83 - 4 * (2)^3 = 83 - 32 subtract  and the answer is 51

Answer:

[tex]83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you[/tex]

Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=

Answers

Answer:          

.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.,.

.

.

2/5

Answer:

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

[tex] - 2\frac{4}{5} \div ( - 7)[/tex]

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

[tex] = \frac{10 + 4}{5} [/tex]

[tex] = \frac{14}{5} [/tex]

[tex] = - \frac{14}{5} \times 7[/tex]

[tex] = \frac{14}{5} \div 7[/tex]

[tex] = \frac{2}{5} [/tex]

Geometry, please answer question ASAP

Answers

Answer:   B) 6

Explanation:

Segment BA is half as long as ZY, since BA is a midsegment.

This means ZY is twice as long as BA

ZY = 2*BA

2*BA = ZY

2*(x-1) = 10

2x-2 = 10

2x = 10+2

2x = 12

x = 12/2

x = 6

Note how this leads to BA = x-1 = 6-1 = 5, which is half as long as ZY = 10.

Combine the terms .-5y^2+5-4-4y^2+5y^2-4x^3-1

Answers

Answer:

-4x^3 - 4y^2

Step-by-step explanation:

-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1

= -4x^3 -4y^2

giving the funtions f(x)=2x-5 and g(x)=3x2=2 perform the indicated operation

Answers

Answer:3165

Step-by-step explanation:

The diameter of the circle above is 18 cm. What is the circumference of the circle? (Use = 3.14.)

Answers

Answer:

56.57

Step-by-step explanation:

See attached photo for steps

EDIT: I forgot to add 3.14, I am so sorry

Answer:

56.52

Step-by-step explanation:

[tex]-2x(x+3)-(x+1)(x-2)[/tex]

Answers

Answer:-3x2-5x+2

Step-by-step explanation:

Distribute -2x to x+3, and then x+1 to x-2

[tex]-2x^{2}[/tex] [tex]-6x[/tex] [tex]-x(x-2)+1(x-2)[/tex]

[tex]-2x^{2} -6x-x^{2} +2x+1x-2[/tex]

[tex]-3x^{2} -3x-2[/tex]

Sorry it’ll be -3x2 -5x +2

please solve no k and m. ​

Answers

Step-by-step explanation:

soln no. k

LHS: cosø√1+cot^2ø

= cosø×cosecø

= cosø× 1/sinø

= cosø/sinø

= cotø

=√cosec^2-1. [: cot^2ø=cosec^2ø-1

according to equation

sending the (^2) will be

root over in another Sid]

= RHS proved

for number m take the help of the pic

Can someone please exlpain how to do this???

Answers

Answer:

40. A c=60

41 B z= 40

Step-by-step explanation:

The sum of the angles in a triangle is 180

40.  61+59+c = 180

Combine like terms

120+c = 180

c = 180-120

c =60

41.  90+50+z = 180

140 +z = 180

z = 180-140

z = 40

What is the answer to this question +8+(+4)

Answers

Answer:

12 is the answer of this questions.

Step-by-step explanation:

Thank you for you question.


How many dimes are there in four hundred
and sixty-seven million dollars?

Answers

Answer:4,670,000,000

Step-by-step explanation:

You just have to multiply 467,000,000 by 10

Answer:

4,670,000,000

Step-by-step explanation:

multiply by 10

In a school 125 students it was found that 60 students failed in Nepali, 45 failed in English and 30 failed in both subjects.1How many students succeeded in both subjects ?
ii) ? How many were failed only in Nepali?
iii) Represent above information in a venn – diagram.

Answers

Step-by-step explanation:

125 -30 = 95..

125 - 60 = 65

Evaluate Equation
Please help!!

Answers

Answer:

A

Step-by-step explanation:

x^2/y+x^2/z where x=6, y=-4 and z=-2

x^2(1/y+1/z)=36*(-1/4+(-1/2))=-36*(3/4)=-27

Answer:

9

Step-by-step explanation:

kwowoooaloiwknwjsjsisjsjsjsisjsj

PLEASE HELP WILL GIVE BRAILNLIEST! Find the value of x

Answers

Answer:

x = 14.63

Step-by-step explanation:

how many solutions in 3(6x-2) = 2(9x-3)

Answers

Answer:

Infinite solutions

Step-by-step explanation:

Distribute the numbers

3(6x-2) = 18x - 6

2(9x-3) = 18x - 6

18x - 6 = 18 - 6

Since both sides of the equal sign are the same, that means you can plug any number into x, and it will always be a valid answer.

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