Mathematics College

If the graph of the function f has a multiple zero at x = 2, what is a possible exponent of the factor x - 2? Justify your reasoning.
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If The Graph Of The Function F Has A Multiple Zero At X = 2, What Is A Possible Exponent Of The Factor

Answers

Answer 1

Answer:

[tex](x-2)^2[/tex]

The exponent is 2.

Step-by-step explanation:

Remember multiplicity rules:

If a factor has an odd multiplicity (e.g. it is raised to 1, 3, 5...) then it will cross the x-axis. If a factor has an even multiplicity (e.g. it is raised to 2, 4, 6...) then it will bounce off the x-axis.

At x=2, we have the factor (x-2).

From the graph, we can see that the graph bounces off at that point.

Hence, the multiplicity of (x-2) must be even.

Therefore, a possible exponent for the factor (x-2) is 2. Any even number will suffice.

Related Questions

5.
Which of these scales are equivalent to 3 inches to 1 yard? Select all that apply.
A.1 inch to 1 foot
B.
6 inches to 9 feet
C.
1 inch to yard
D
1 inch to 12 inches




Please help

Answers

A and D because it is basically saying 3:36 so when you simplify it comes down to 1:12
It’s lowkey A i think

Some of the steps in Liam solution to 3. 5 (1.25x + 0.5) = 10.5 are shown complete the boxes with reasons for lines 2 and 4 of Liam solution

Answers

Answer:

x = 2

Step-by-step explanation:

Given the equation;

3. 5 (1.25x + 0.5) = 10.5

Open the parenthesis

3.5(1.25x) + 3.5(0.5) =10.5

4.375x + 1.75 = 10.5

4.375x + 1.75 -1.75= 10.5-1.75

4.375x = 8.75

Divide both sides by 4.375

4.375x/4.375 = 8.75/4.375

x = 2

Hence the solution to the equation is 2

HELP PLEASE!!!! Find the exact values of sin A and cos A. Write fractions in lowest terms.


A) sin A = 3/5; cos A = 4/5

B) sin A = 5/4; cos A = 5/3

C) sin A = 4/5; cos A = 3/5

D) sin A = 4/3; cos A = 3/4

Answers

Answer: Im pretty sure its C dude have a wonderful day.

Step-by-step explanation:

Someone help with all if possible :)
Instructions are at the top of the picture, also I’ll mark brainliest for small explanation!

Answers

Answer:

1. y=2x+4 2. y=-3/1x-4 3. y=1/4+4 4.y=-4/5x-7

Step-by-step explanation:

Express 14 : 44 in the lowest term.

Answers

Answer:

7:22

Step-by-step explanation:

If you are dividing a three digit even number by two but you ever get a remainder

Answers

Answer:

Step-by-step explanation:

yes

The price of a set of feeding bowls for dogs had been $9.25, but was
increased to $11.10. What was the percent increase?

Answers

Answer:

Step-by-step explanation:

20% increase lol

3 1/3 - 2 7/12 Please help me sorry its a mixed number

Answers

Answer:

it is 0.75

Step-by-step explanation:

Answer:

3 1/3 - 2 7/12 = 3/4

Step-by-step explanation:

Find the improper fractions:

3 1/3 = 10/3

2 7/12 = 31/12

Find the common denominator:

10/3 = 40/12

31/12

Subtract:

40/12 - 31/12 = 9/12

Simply:

9/12 = 3/4

The graph of f(x) = 2x + 4 shifts five units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value of k?

A. 5
B. −1
C. 1
D. 4

Answers

Answer:

A

Step-by-step explanation:

Answer:

k = 6

Step-by-step explanation:

Given function:

f(x) = 2x + 4

Shifting right 5 units:

f(x - 5) = 2(x - 5) + 4 = 2x - 10 + 4 = 2x - 6

New function is:

f(x) = 2x - 6

The value of k is 6

The answer choices don't include 6, it might be a typo?

PLEASE HELP IM TIMED

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because it's common sense

The compressive strengths of 40 concrete cylinders have an estimated mean of 60.14 MPa and standard deviation of 5.02 MPa. Assuming the strength to be Normally distributed, what is the probability that 10 cylinders will each have strengths between 45 and 75 MPa?

Answers

Answer: 0.9972

Step-by-step explanation:

Let x be a random variable that represents the strength of concrete cylinders.

Given: The compressive strengths of 40 concrete cylinders have an estimated mean[tex](\mu)[/tex] of 60.14 MPa and standard deviation[tex](\sigma)[/tex] of 5.02 MPa.

The probability that 10 cylinders will each have strengths between 45 and 75 MPa :

[tex]P(45<\overline{x}<75)=P(\dfrac{45-60.14}{5.02}<\dfrac{\overline{x}-\mu}{\sigma}<\dfrac{75-60.14}{5.02})\\\=P(-3.016<z<2.96)\\\\=P(z<2.96)-P(z<-3.016)\\\\=P(z<2.96)-(1-P(z<3.016))\\\\=0.9985-(1-0.9987)\ \ \ [\text{by p-value table}]\\\\= 0.9972[/tex]

Hence, The required probability = 0.9972

A squirrel in a tree drops an acorn. How long does it take the acorn to fall 24 feet? ​

Answers

The time taken by the acorn to fall 1.16 seconds

The sum of the ages of Peter and Paul is 24. Five years ago their respective ages were in the ratio 3:4. How old will they be in three years time?​

Answers

Answer:

16 and 14 years old.

Step-by-step explanation:

Let their ages be x and y years, then

x + y = 24 .......... (1)

Also from the given information

(x - 5)/ (y - 5) = 3/4

3y - 15 = 4x - 20

3y - 4x = -5

Multiplying equation (1) by 3:

3y + 3x = 72

Subtracting these last 2 equations:

-7x = -77

x = 11.

So y = 24 - 11 = 13.

So in 3 years time they will be 16 and 14.

Answer:

Peter would be 14. Paul would be 16

Step-by-step explanation:

Variable labels:

Peter = m, Paul = n

m + n = 24

(m - 5) : (n- 5) = 3:4

The ratio 3:4 in fraction form is [tex]\frac{3}{4}[/tex]

The ration of (m - 5) : (n- 5) in fraction form is [tex]\frac{m - 5}{n - 5}[/tex]

[tex]\frac{m-5}{n-5} = \frac{3}{4}[/tex]

Cross multiply:

4(m - 5) = 3(n - 5)

4m - 20 = 3n - 15

4m = 3n + 5

Find the value of m first:

4m = 3n + 5

m = [tex]\frac{3n + 5}{4}[/tex]

Now going back to the equation m + n = 24, substitute m with [tex]\frac{3n + 5}{4}[/tex] :

m + n = 24

[tex]\frac{3n + 5}{4}[/tex] + n = 24

Solve for n:

[tex]\frac{3n + 5}{4}[/tex] + n = 24

[tex]\frac{3n}{4} + \frac{5}{4}[/tex] + n = 24

[tex]\frac{7n}{4} +\frac{5}{4}[/tex] = 24

[tex]\frac{7n}{4} = \frac{91}{4}[/tex]

n = 13 (Paul's age)

Solve for m:

m + n = 24

m + 13 = 24

m = 11 (Peter's age)

After three years, Peter would be 11 + 3 = 14 years old and Paul would be 13 + 3 = 16 years old.

An airplane flies 104 miles in 1/2 hour. How far can it fly in 1 1/4 hours at the same rate of speed

Answers

Answer:

260 miles i prettty sure brainliest plzz

Step-by-step explanation:

Louis age is three years more than twice the age of Sánchez . The sum of their ages is 39. How old are Sánchez and Louis ?

Answers

Answer:

39 divided by 3 = 13+3=16 therefore Louis is 16 and sanchez i

Step-by-step explanation:

s going to be 23 years of age. Because 39-16=23

Answer: Louis is 27 yrs old and Sanchez is 12 yrs old

Step-by-step explanation:

Sanchez is 12 yrs old

Louis is "twice" the age of sanchez (24) yrs old plus 3 years= (27)years old

Now add 27+12 =39 yrs in total

Sam is handing out advertisements for an upcoming event. He starts with a box of 5,000 advertisements and hands out 12 advertisements per minute, on average. Which of the following equations best models the relationship between the amount of time t, in minutes, Sam spends handing out advertisements and the number of advertisements, n, remaining? A t = 5,000n - 12 B n = 5,000t - 12 C t = 5,000 - 12n D n = 5,000 - 12t ​

Answers

Answer:

n = 5,000 - 12t ​

Step-by-step explanation:

Sam is handing out advertisements for an upcoming event.

No of advertisements = 5000

No of advertisements per minute is 12.

We need to find the equation that best models the relationship between the amount of time t, Sam spends handing out advertisements and the number of advertisements, n, remaining.

5000 is fixed and there are 12 advertisements per minute. Let the equation is given by :

n = 5,000 - 12t ​

Hence, the correct option is (d).

4x - 1 = 3 (x - 1)
(help pls fast by tuesday!)

Answers

Answer:

x = -2

Step-by-step explanation:

I hope this helps!!

the points (3, 17) and (1, 15) fall on a particular line. What is its equation in slope-intercept
form?

Answers

Answer:

Write in slope-intercept form, y=mx+by=mx+b.

answer: y=X+14

Can anyone please help me under this and what I'm supposed to do. Thank you in advance

Answers

Answer:

n = 31

Explanation:

Solve the equation by rewriting in exponential form using the definition of logarithm and simplifying. In other words, solve for n.

Complex fractions can be written as______problems.

Answers

Answer:

All complex fractions can be re-written as division problems.

Step-by-step explanation:

Please help with this I will give brainliest

Answers

Answer:

2

Step-by-step explanation:

Subsitute Y in the equation. (6)^2-5(6)-4. 36-30-4=2

If x=4cos(2t) and y=4sin(2t), what is the parameter of these equations

Answers

Answer:

y=√(4+x)(4−x)

Step-by-step explanation:

100 POINTS. ANSWER CORRECTLY, PLEASE!

What is the area of a triangle with vertices at (−4, 1), ​(−7, 5)​ , and ​(0, 1)​ ? Enter your answer in the box.

Answers

Answer:

The answer is 8 units squared.

Step-by-step explanation:

Delilah does 184 jumping jacks in 4 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?​

Answers

Answer:

46 jumping jacks per minute

Step-by-step explanation:

184/4= 46

Answer:

she did 46 jumping jacks per minute

Step-by-step explanation:

Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought? 49 + 28 = 4 (7 + 7) 49 + 28 = (7) (7) + (14) (2) 49 + 28 = (7) (14) + (7) (7) 49 + 28 = 7 (7 + 4) plz i need help

Answers

Answer:

I don't know the answer bro but please follow me bro

If Z is the centroid of WXY, WR=87 SY=39 and YT=48 find each missing measure

Answers

Answer:

Step-by-step explanation:

WS=39

WY=78

WZ=58

ZR=29

ZT=16

YZ=32

The measures are WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Z is the centroid of triangle.

The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

WR=87 SY=39 and YT=48

We need to find WS,WY,WZ,ZR,ZT and YZ

WS=39

As WS=WR

WY=WS+SY

WY=39+39=78

WZ=58

ZR=WR-WZ

ZR=87-48=29

ZT=16

YZ=YT-ZT

=48-16=32

YZ=32

Hence, the measures are WS=39, WY=78, WZ=58, ZR=29, ZT=16 and YZ=32

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ5

A gym has 563 people that want to attend workout classes. Each class will have 15 people.
Which is the best estimate for the number of workout classes the gym should offer?

Answers

40

why?: 563/15=37.53333333

Round up to the nearest 10

Brainliest?

Bargain DVDs cost $5 each at Mega Movie. a. Graph the proportional relationship that gives the cost y in dollars of buying x bargain DVDs

Answers

Y = 5x
Pick two points and draw a line through them. (0,0) and (1,5)

718.012 in expanded form and written form

Answers

seven hundred and eight-teen and twelve thousandths

Answer:

Expanded Form BelowWritten Form Below

Step-by-step explanation:

Expanded Form = 700 + 10 + 8 + 0.01 + 0.002

Written Form = Seven-Hundred Eighteen, Point Twelve-Hundredths

Hope this helps! <3

Joshua started the month with $20.50 in his bank. He earned $3.75 for washing the car. Then he spent $5.25 at the movies. Joshua mowed his neighbor's lawn for $7.50. Finally, he bought a new video game for his computer for $18.75. How much money did Joshua have at the end of the month?

Answers

your answer should be $7.75

Joshua after all his spending has $7.75 at the end of the month

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The savings and his work be denoted by a positive amount and his spending be donated by a negative amount.

So, From the information given his savings of $20.50 and his work of mowing the lawn for $7.50 and washing a car for $3.75 should be added which is,

= $(20.50 + 7.50 + 3.75).

= $31.75

Now, we'll subtract all his spending,

= $(31.75 - 5.25 18.75).

= $7.75.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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