When a real zero x = a of a polynomial function fis of even multiplicity, the graph of f ---Select-- the x-axis at x = a, and when it is of odd multiplicity, the
graph of f ---Select-- the x-axis at x = a.

Answers

Answer 1

Answer:

touches

crosses

Step-by-step explanation:

[tex]x=a[/tex] is said to be a zero of a function [tex]f(x)[/tex] if [tex]f(a)=0[/tex]

A zero say [tex]x=a[/tex] has a "multiplicity" equal to [tex]n[/tex], if the factor [tex](x-a)^n[/tex] appears in the polynomial.

When a real zero [tex]x=a[/tex] of a polynomial function [tex]f[/tex] is of even multiplicity, the graph of [tex]f[/tex] touches the x-axis at [tex]x=a[/tex], and when it is of odd multiplicity, the

graph of [tex]f[/tex] crosses the x-axis at [tex]x=a[/tex].


Related Questions

Sara and Atil ate the same number of cookies for lunch. However, Sara ate half of all

the cookies that her mom gave her, and Atil ate one-third of all the cookies that his

mom gave him. If til's mom gave him 2 more cookies than Sara's mom gave to Sara,

how many cookies did each of the kids eat?

Answers

Answer:

Sarah ate 2, atil ate 2

Step-by-step explanation:

The total number of cookie Sara got = y

Atill got 2 more than Sara so his total cookies is = 2+y

Sarah ate half if hers = y/2

Atil ate 1/3 of his = 2+y/3

We have

Y/2 = 2+y/3

Then we cross multiply

3y = 2(2+y)

3y = 4 + 2y

3y - 2y = 4

Y = 4

Since y = 4,

Sara ate 4/2 cookies = 2

Then atil ate 2+4/3 = 6/3 = 2 cookies

PLEASE HELP ME PLEASE!

Answers

Answer:

-4 and d

==============

Please give brainliest, I really want to rank up, thank you!

Answer:

x = d

x = -4

Step-by-step explanation:

not sure i tried

Is 7 a factor of 18y + 27z?

Answers

Answer:

no

Step-by-step explanation:

Answer:

No, it can't be factored

Step-by-step explanation:

Write the equation of the line in y = mx + b form from the given information. The line passes through the point (1, 5) and has a slope of 2.

Answers

Answer:

y=2x+3

Step-by-step explanation:

the equation of the line given in y=mx+b form is for m being the slope and b being the y intercept

we are given a point (1,5) and a slope (2)

since we know the slope, we can plug thatk known value into the equation:

y=2x+b

now we need to find b

because the line will pass through the point of (1,5), we can use it to solve for b

substitute 5 as y and 1 as x

5=2(1)+b

5=2+b

3=b

therefore the equation is

y=2x+3

Hope this helps!!

URGENT PLZ HELP!!!!!

Answers

Answer:

30% man this easy

Step-by-step explanation:

PLS GIMME BRAINLIEST PLS

5th grade math. correct answer will be marked brainliest

Answers

9 is what you put in the first box and 1 in the other

Please help me with this question if you can

Answers

Answer:

exterior angle = the sum of two remote interior angles

14x + 1 = 89 + 5x - 7

=> 9x = 81

=> x = 9

substitute x = 9 into angle H (5x - 7)

=> 5(9) - 7 = 45 - 7 = 38

A rectangular cornfield has a length of 7 kilometers and an area of 63 square kilometers.
What is the width of the cornfield?
What will be the area if the length and width are doubled?

Answers

Answer:

The width is 9

Step-by-step explanation

Area formula is Length time width

9x7=63

If they are doubled, 18x14=252

Answer:

9 is the width of the cornfield. the area if both L and W doubled would be 252

Step-by-step explanation:

all you gotta do is divide 63 by 7 and you will get the width, 9.

formula: A/L=W

-------------------------------------------------------------------------------------------------------------

the area would be 252 if doubled both length and width because its multiplying 2 by 7 and 9, equaling to 14 and 18, which you multiply that together.

Complete the​ table, for the following​ investments, which shows the performance​ (interest and​ balance) over a​ 5-year period.
Suzanne deposits ​$4000 in an account that earns simple interest at an annual rate of 2​%. Derek deposits ​$4000 in an account that earns compound interest at an annual rate of 2​% and is compounded annually.​

Answers

Answer:

After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.

Step-by-step explanation:

Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:

Suzanne:

((4,000 x 0.02) x 5) + 4,000 = X

(80 x 5) + 4,000 = X

400 + 4,000 = X

4,400 = X

Derek:

4,000 x (1 + 0.02 / 1) ^ 5x1 = X

4,000 x 1.02 ^ 5 = X

4,416.32 = X

Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.

answer please ill give brainlist and ten points

Answers

Answer:

The answer is 32.

Step-by-step explanation:

7 * A =

7 * 4 = 28

b^2 =

6^2 = 36

28 + 36 ÷ 9 = 32

So, the answer is 32.

Hope this helps! :)

The 8 in 429.86 has ___________ the value of the 8 in 321.58

Answers

Answer:

more than

Step-by-step explanation:

The 8 in 429.86 is nearest because is 80/100 while the 8 in 321.58 is  8/100

i need help with this!

Answers

Answer:

the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331

Answer:

z=529

Step-by-step explanation:

Let's solve your equation step-by-step.

√z=23

Solve Square Root.

√z=23

z=232(Square both sides)

z=529

Check answers. (Plug them in to make sure they work.)

z=529(Works in original equation)

does the graph represent a function

Answers

Answer:

no this is not a function

Step-by-step explanation:

because if you do the line test it touches both of the lines its kinda hard to explain but yeah

HELPPP

What is the surface area of the pyramid shown?

Answers

Answer:

320ft ^2 (squared)

Step-by-step explanation:

PLEASE HELP!!!!! FAST!!! I’ll mark brainliest

Answers

Answer:

the third one

Step-by-step explanation:

plan A is less expensive for more than 6 features

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,200 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,200 and $14,500.
a. Suppose you bid $12,000. What is the probability that your bid will be accepted?
b. Suppose you bid $14,000. What is the probability that your bid will be accepted?
c. What amount should you bid to maximize the probability that you get the property?
d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Answers

Answer:

0.4185;

0.8835;

$14500;

No

Step-by-step explanation:

Given that :

a = 10200

b = 14500

f(y) = 1 /(b - a) = 1/(14500 - 10200) = 1/4300 = 0.0002325

A.)

P(x <12000) = ∫fydy at(12000 ; 10200) = ∫0.0002325dy at(12000 ; 10200)

P(x < 12000) = 0.0002325(12000) - 0.0002325(10200) = 0.4185

B.)

P(x <14000) = ∫fydy at(14000 ; 10200) = ∫0.0002325dy at(14000 ; 10200)

P(x < 14000) = 0.0002325(14000) - 0.0002325(10200) = 0.8835

(c.) 14500 ; because competitor's bid is at most 14500

D.) No ; Because by bidding $14500 ; getting the property is certain ; once the property is gotten, then it could be resold for $16000, to make a profit of $1500 ; by bidding less, winning the bid becomes uncertain which may means the profit might be lost in the long run.

How many fluid ounces are in 2 gallons?​

Answers

Answer:

256

Step-by-step explanation:

the correct answer is 256 fluid ounces

Mitchell went apple picking with the students in his art club. The line plot below shows the number of apples each student collected. Each X represents one student. Which statement about the data is true?

A

Most of the students collected 12 apples.


B

The median number of apples collected was 11.


C

The mean number of apples collected was 11.33.


D

The interquartile range of the number of apples collected was 2.5.

Answers

Answer:

A. Most of the students collected 12 apples.

Step-by-step explanation:

The line plotted on the graph is demonstrating the 12 apples picked from the club. The students are on the y-axis since they are independent and apples are placed on the x axis. The line is intersecting the points on x-axis. There is average collection of 12 apples by each student.

If f(x)=3-x^2,find f(-2)

Answers

Answer:-1

Step-by-step explanation:f(x)=3-x2

This is also...

f(x)=3+[(-1)(x2)]

We will execute the exponential. Then, we will multiply the result by the coefficient of -1.

f(-2)=3-(-2)2

f(-2)=3-(+4)

f(-2)=3-4

f(-2)=-1

The cost of one pen when pens are priced at 5 for p dollars

I really need help on this

Answers

5 dollar for one pen

Answer:

$1

Step-by-step explanation:

If 5 pens = $p, then 1 pen = $p/5.

But because 5 pens = $p, it would be the same thing as 5 = p because you just take off the labels.

So p = 5 and one pen would be:

$p/5 = 1

5/5 = 1

1 = 1

Need help please help me if you know it

Answers

Answer:

I believe it's C... Not sure though...

What type of Weathering is important to sand storms on Mars? Physical or Chemical?

Answers

Answer:

Physical is the answer

The area of the shape below is
84 square centimeters.
a
10 cm
6 cm
12 cm
What is the length of a?

Answers

Answer:

Its D. 3cm

____________

Answer:

D=3

Step-by-step explanation:

Split this figure into 2 parts. Now you have 2 rectangles. One with sides 6 and 12. Other with sides (10 - 6) =4, and a.

Area of one rectangle is 12 × 6 = 72

Area of 2nd rectangle is 4 × a = 4a.

Since we know the total area of figure is 84

that means

72 + 4a = 84

4a = 84 - 72

4a = 12

a = 12 ÷ 4 = 3

a=3

Which statement is true about the solution to ?

The solution is x = –1 because .
The solution is x = 1 because .
The solution is x = 0 because .
There are no real number solutions to this equation.

Answers

Answer: correct

Step-by-step explanation: The solution is x = –1 because .

The solution is x = 1 because .

The solution is x = 0 because .

There are no real number solutions to this equation.

Answer: There are no real number solutions to this equation.

Find the value 0.5 x 0.5 x 0.5=

Answers

Answer:

0.125

Step-by-step explanation:

0.5 x 0.5 x 0.5 = 0.125

WILL MARK BRAINLIST!!
simplify: 3/4 × 2x/5​

Answers

Answer:

(3/10)x or if you didn’t undertsand that

[tex]\frac{3}{10}x\\[/tex]

Step-by-step explanation:

So multiplynormally, if theres an x in the numerator or denominator , it doesn’t matter since the variable is going to end up in the middle. Multiply it normally, simplify and then you would have (3/10)x

What is the ratio of m and 7 added to 2​

Answers

Answer:

dndndndndndjdjxndnxnxnxjdjjxxjjddnxnxjjdjdjsjsjs

Step-by-step explanation:

hshshshssjsjznznznznsjshjzzhzh

Find the value of each variable. Line l is a tangent

Answers

Answer:

Step-by-step explanation:

A tangent to a circle is perpendicular to the diameter of that circle ⇒ c° = 90°

a° = 40°

b° = 140°

Plsss help mehh this is urgent

Find the length of segment WX.
6
15
25
10

Answers

Answer:

10

Step-by-step explanation:

15 / 6 = 2.5

25 ÷ 2.5 = 10

When using the measures of centers what is the first step you do with the data?

Answers

When using the measures of centers, the first step you do with the data is to find the average value of the dataset. This is done by calculating the mean or arithmetic average of the data.

The mean is obtained by adding up all the values in the dataset and then dividing by the total number of values present in the dataset.

The formula for the mean is: Mean = Sum of all values in the dataset / Total number of values in the dataset.

The mean is a good indicator of the central tendency of the data, as it is sensitive to all the values present in the dataset.

However, it can be affected by outliers, which are values that are significantly different from the other values in the dataset.

In such cases, the median, which is the middle value when all the values in the dataset are arranged in ascending or descending order, can be a more appropriate measure of center.

To learn more about : centers

https://brainly.com/question/27704912

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