determining end behavior and intercepts to graph a polynomial function

Determining End Behavior And Intercepts To Graph A Polynomial Function

Answers

Answer 1

Answer:

Step-by-step explanation:

(b). ( x , 0 )

Zero where the graph crosses the X-axis: 1

Zero where the graph touches, but does not cross the X-axis: ( - 1 )

(c). ( 0, y )

- ( 0 + 1 )²( 0 - 1 ) = 1

Determining End Behavior And Intercepts To Graph A Polynomial Function

Related Questions


What multiplication problem matches this addition problem?
6 + 6 + 6 + 6 + 6 + 6 + 6 = 42
Type the correct answer. k12 online school

Answers

6*7=42
It’s the answer I guess.
6^7=42

(6 to the 7th power equals 42)

The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.

Answers

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = 0.3 + 0.6 - 0.8

P(A and B) = 0.1

Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.

Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.

The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.

Given that,

The probability for event A is 0.3, the probability for event B is 0.6,

and the probability of events A or B is 0.8.

We have to find,

Why are the events not mutually exclusive?

According to the question,

The probability for event A is 0.3, the probability for event B is 0.6,

and the probability of events A or B is 0.8.

P(A) = 0.3

P(B) = 0.8

and P(A∪B) = 0.8

When two events are said to be mutually exclusive when both the events cannot take place simultaneously.

Mutually exclusive events always undergo different outcomes.

These events are also known as disjoint events.

Mutually exclusive events prevent the second event to take place when the first event appears.

The probability of mutually exclusive events follows;

The probability of A and B together equals 0,

P(A and B) = 0

The probability of A or B equals the probability of A plus the probability of B,

P(A or B) = P(A) + P(B)

Therefore,

P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9

Here, 0.9 ≠ 0.8

Thus, the events are not mutually exclusive.

Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.

For more details about Probability refer to the link given below.

https://brainly.com/question/14071639

are 6y + 12 and 6 (y + 2) equal?

Answers

Yes, this is because if you were to multiply 6 by y and 6 by 2 (to get rid of the parenthesis), you would get 6y+12, which is the first expression

Using the picture below, which angle is alternate exterior to angle 2?

Answers

It’s 7 because it is on the exterior, and the other side, of the the parallel lines from 2.

What’s 10^102????????€

Answers

Answer:

(2^102•5^102)

Step-by-step explanation:

(10)^102 = (2•5)^102 = 2^102 • 5^102

Line c passes through points (9, 10) and (1, 3). Line d is perpendicular to c. What is the slope
of line d?

Answers

Answer:

-8/7

Step-by-step explanation:

First, find the slope of line c.

(x1, y1) = (9, 10)

(x2, y2) = (1, 3)

The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Solve for the slope using the given values:

[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]

The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.

In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.

Answer:

slope = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Calculate the slope m of line c using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )

m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d

How do I find domain and range.

Answers

Answer:

The domain is all the x values and the range is all the y values.

Since there are 6 points on the figure, just find the coordinates (x, y) for all the points. Then get all the x and y values separated in a table.

I'm just going to assume this is scaled by 1 unit per square

Here are all the points on the graph:

(-6, -1)

(-4, 3)

(-4, -6)

(0, 2)

(2, -2)

(5, 7)

Now just split them into their x and y values

The Domain: -6, -4, 0, 1, 5

The Range: -1, 3, -6, 2, -2, 7

Answer:

Interval notation

Domain: [-6, 5]Range: [-1, 7]

Step-by-step explanation:

The domain is the x-value on the x-axis. The range is the y-value on the y-axis.

Find the two highest points on opposite sides in the graph.

find the x-values (refer to the image below)find the y-values (refer to the image below)

After this step has been completed, you can write it in different forms, for example in interval notation:

The domain would be [-6, 5]

The range would be [-1, 7]

Note - for interval notation, when the point is a closed circle, the ending parenthesis would be "[ "or "]". However, when it is an open circle, the parenthesis would be "( "or ")".

a ______ is a line that is perpendicular to a line segment and intersects the line segment at its midpoint?

Answers

I think it’s Perpendicular Bisectors

Answer:

Perpendicular Bisectors

Step-by-step explanation:

Recall that a perpendicular bisector intersects a line segment at its midpoint and is perpendicular.

Where is the circumcenter of this acute triangle located?
O on a side of the triangle
O inside the triangle
O at a vertex of the triangle
O outside the triangle

Answers

Answer: the answer is inside the triangle

inside the triangle-Circumcenter of triangle is the point where three perpendicular bisectors from the sides of a triangle intersect or meet. The circumcenter of a triangle is also known as the point of concurrency of a triangle. The point of origin of a circumcircle i.e. a circle inscribed inside a triangle is also called the circumcenter

!!!!!!!!!!!!!!determine which of these are perpendicular parallel or none

Answers

Line A and B are perpendicular and Line A and C are parallel

Answer:

Parallel: a and c

Perpendicular: a and b, c and b

Step-by-step explanation:

Basically you would want to isolate for y.

Line a:

4y - 12x = 20

4y = 12x  + 20

y = 12x/4 + 20/4

y = 3x + 5

Line b:

3y = -x+2

y = -x/3 + 2/3

Line c:

y=3x - 1

Now look at each line and compare their slopes.

-Lines a and c have same slope., thus they are parallel.

-lines a and b are perpendicular because the slopes are negative reciprocals each other

-lines b and c are also perpendicular

A coffee pot holds 3 quarts of coffee. How much is this in cups?

Answers

Answer:12 cups

Step-by-step explanation:

because 1 quart is equal to 4 cups multiply by 3


x varies directly with y. If x is 108 when y is 180, find x when y is 150.

Answers

Answer:

X=90

Step-by-step explanation:

k=3/5

X=3/5×150

X=90

Pam and Erin are both planting gardens for their backyards. They want their gardens to be proportional. If pams garden has a length of 16 feet and a width of 12 feet, what length does Erin need if the width of her garden is 21 feet?

Answers

Step-by-step explanation:

Pam and Erin want the gardens to be proportional.

proprtional- equal

Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.

16×12= 192

Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.

192÷21=9.14

A $28 video game is advertised for 20% off. Find the sale price of the video game

Answers

Answer:

They are asking for the SALE price, not the actual price.

28×0.2= $5.60


ASAP HURRY.
A tabletop is shaped like a square with half-circles on two ends.
One side of the square is 0.8 m. To the nearest meter, what is
the perimeter of the tabletop?

Answers

won't it be 3.2 because A square has four sides so you multiply 0.8 by 4

Simplify.
(7⁴)²

(EXPONENT FORM ONLY)

Answers

The answer is 7^8.
To raise a power to another power, you multiply the exponents. 4x2=8. 7^8

hey guys!! i need help on this one:)

Answers

Yes, because it contains both variables and has highest degree if variable x is 1.Yes, because it has both variables and has highest degree of x is 1. No, because the degree of x is 2.No, because x is not single(its multiplied with y) No, because x is multiplied by y when we multiply both sides with x. Yes, because root 9 is 3.

[tex]\huge\underline\mathtt\colorbox{cyan}{Hope it helps...}[/tex]

One step equations- solve for "X" or find it. Please help
3x=-12
14x=280
x+6=-5
x+27=125
x-324=760
x-43=35
x/6=-24
x/13=214
26-x=47
-x/3=-998
I know, I always put 100 points, I just like giving extra points :) Merry almost Christmas also!!!

Answers

Since these are one-step equations we only have one step.

To solve, these single steps will include the following:

[1] addition (+)

[1] subtraction (-)

[2] division (/ or ÷)

[2] multiplication (* or x)

How do we answer these? We do the opposite of what is shown. If we have addition in 4 + x = 6, we will use subtraction to solve. The numbers one (1) and two (2) above show the "sets"  of which we use.

[] 3x = -12

     -> -4

We have multiplication so we will divide -12 by 3 for an answer of -4

[] 14x = 280

     -> 20

We have multiplication so we will divide 280 by 14 for an answer of 20

[] x + 6 = -5

     -> -11

We have addition so we will subtract 6 from -5 for an answer of -11

[] x + 27 = 125

     -> 98

We have addition so we will subtract 27 from 125 for an answer of 98

[] x - 324 = 760

     -> 1,084

We have subtraction so we will add 324 to 760 for an answer of 1,084

[] x - 43 = 35

     -> 78

We have subtraction so we will add 43 to 35 for an answer of 78

[] x/6 = -24

     -> -144

We have division so we will multiply 6 by -24 for an answer of -144

[] x/13=214

     -> 2,782

We have division so we will multiply 13 by 214 for an answer of 2,782

[] 26 - x = 47

     -> -21

We have subtraction so we will add x to both sides to reach the equation 26 = 47 + x

Then, we have addition so we will subtract 47 from 26 to get an answer of -21

[] -x/3=-998

     -> 2,994

First, we will move the negative to the bottom of the fraction, which looks like this: [tex]\frac{-x}{3} = \frac{x}{-3}[/tex]

Then, we have division so we will multiply -3 by -998 for an answer of 2,994

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1

Write h in terms of x

Answers

f(x+3)

[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]

[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]

[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]

[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]

[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]

Now

[tex]\\ \sf\Rrightarrow h(x)[/tex]

[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]

[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]

[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]

[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]

The regular price of an item is $150. The item is on sale at a discount rate of 30%.
What is the sale price of the item?
$45
$105
$120
1970

Answers

Answer:

$105

Step-by-step explanation:

30% of 150 is 45.

150-45 = 105

Hope that helps

It would be $105 for the sales price

help me asap!!!!!!!!!!!!!

Answers

Answer: yes

Step-by-step explanation:

It is because for every x value there is a y and the x value does not repeat to any y values.

Answer:

No because the slope isnt constant, the y changes higher and higher while the x stays constant

Step-by-step explanation:

Hope this helps!:)

Kylie Jenner's gym membership
costs $150 to sign up and
then charges $3 for each visit.
Kanye West's gym membership costs $130
to sign up and
then charges $5 for each visit.
At how many visits
will they have spent
the same amount of money?

Answers

Answer:

The answer to this is 10 visits.

Step-by-step explanation: For this algebra, take a guess at first, and then you should be able to find an answer from there. All you have to do mathematically, is calculate (using the two starting values), when the prices are the same. For this, the equation would look something like: 5x + 130 and 3x + 150. X represents the unknown number of visits. When x is = 10, the prices are the same, 180 = 180. Edit: Another way you can do this, is graph a line of the two equations, and see what point they intercept. The X value of the point usually is the number of times something occurs until the price is the same, whereas the y value of the point is usually the price.

In a class there are 48 students.the number of girls is 3 times their boys . how many boys and girls are there in the class??​please help!

Answers

Answer:

12 boys, 36 girls

Step-by-step explanation:

We can use systems of equations to solve this using substitution.

Let b = # of boys in the class

Let g = # of girls in the class

b + g = 48

g=3b

b+(3b)=48

4b=48

b=12

12*3=36

Check:

36+12=48

Given that a [] b = b2 + a. Evaluate 2 [] (6[] - 5).

Answers

Answer:

963

Step-by-step explanation:

Evaluate 6 | - 5 , then the outside part, that is

6 | - 5 ( with a = 6 and b = - 5 )

= (- 5)² + 6 = 25 + 6 = 31

Now evaluate 2 | 31 ( with a = 2 and b = 31 )

= 31² + 2 = 961 + 2 = 963

(4x2 - x - 7) + (2x3 + 6x2 - 11)
Adding polynomials

Answers

Answer:

2x3 + 10x2 - x - 18

Step-by-step explanation:

hope this helps! goodluck & enjoy the rest of ur day /or night.

Answer:

(4x2 - x - 7) + (2x3 + 6x2 - 11) Adding polynomials

Step-by-step explanation:

Your
Problem
Amanda was selling pizza for basketball. She sold
4 pizzas to her friends right away and then sold 2
pizzas each day after. If she sold 16 pizzas
altogether, how many days did she sell?
Your Work:

Answers

Day 1: 4
Day 2: 2 (2+4=6)
Day 3: 2 (2+4+2=8)
Day 4: 2 (2+4+2+2=10)
Day 5: 2 (2+4+2+2+2=12)
Day 6: 2 (2+4+2+2+2+2=14)
Day 7: 2 (2+4+2+2+2+2+2=16)
She sold for a week/7 days.

true or false Canada's indigenous people originally came from Asia

Answers

Answer:

True

Step-by-step explanation:

They came from east Asia

I hope this helps!

The railroad company wants to sell $8,134 in tickets. If each ticket costs $7, how many
tickets will the railroad have to sell to meet its goal?

Answers

Answer:

1162 tickets will need to be sold

Step-by-step explanation:

8134 / 7 = 1,162

I need help with this question can someone plss help me!!

Answers

Answer:

Step-by-step explanation:

Grace works as a salesperson at an electronics store and sells phones and phone
accessories, and makes a fixed commission for each phone sale and a different fixed
commission for each accessory sale. Yesterday Grace sold 18 phones and 21
accessories and made a total commission of $204. Today she sold 6 phones and 14
accessories and made a total commission of $82. Determine the price of each phone
and the price of each accessory.

Answers

We can use a system of linear equations to solve this. I will use the variable P for phones and A for accessories.

Our first equation is: 18P + 21A = 204. This is because she told 18 phones and 21 accessories yesterday which got her $204.

Our next equation is: 6P + 14A = 82. This is because she sold 6 phones and 14 accessories today which got her $82.

We can use elimination to solve this system. We can multiply the equation 6P + 14A = 82 by -3. This is so we can avoid sign errors if we multiply by 3. Our new equation is -18P - 42A = -246.

Next, we add that equation to 18P + 21A = 204. This gives us -21A = -42. Once we solve for A, by dividing by -21, we get A = 2.

Next, we can plug A into our equation. I will plug it into the second one. 6P + 14(2) = 82. This gives us 6P + 28 = 82. Once we get 6P alone, we get 6P = 54. Solving for P gives us 9.

One phone costs $9, and an accessory costs $2.
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