A polynomial function has a root of -6 with multiplicity 1, a root of -2 with multiplicity 3, a root of 0 with multiplicity 2 and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

The graph of the function is positive on (-6, -2). The graph of the function is negative on (-∞, 0). The graph of the function is positive on (-2, 4). The graph of the function is negative on (4,∞)​

Answers

Answer 1

9514 1404 393

Answer:

  (a)  The graph of the function is positive on (-6, -2)

Step-by-step explanation:

A function of odd degree and positive leading coefficient will be negative from -∞ to the left-most zero. Here, that zero is -6. The multiplicity of that zeros is odd (1), so the sign changes to positive at that point, and remains positive until the next odd-multiplicity zero, which is -2, with multiplicity 3.

Hence the function is positive on the interval (-6, -2), matching choice A.

A Polynomial Function Has A Root Of -6 With Multiplicity 1, A Root Of -2 With Multiplicity 3, A Root
Answer 2

Answer:

a

Step-by-step explanation:


Related Questions

Write two numbers that multiply to the value on top and add to the value on bottom.
-14
Х
+
13

Answers

#1: +14
#2: -1

Explanation:

14 * -1 = -14
14 + (-1) = 13

graph y=|x|-5
a b c d

Answers

Answer:

Sorry, I don't exactly know what you mean by a b c d, however the graph of y=|x|-5 should be two rays with slopes of 1 and -1, meeting at the point (0,-5)

A roof rises 15 feet vertically and 12 feet horizontally. What is the slope of the​ roof?

Answers

Answer: 15/12 or in simplest form its 5/4

Step-by-step explanation:

Slope is rise/run

Answer:

Do you know rise over run?? The roof goes up 15 feet and to the left or right 12 feet... the slope would be 15/12 or it would be 1.25 (when divided). Hope it helps!

Step-by-step explanation:

can someone please help with these what are they ?? SAS,SSS,HL,ASA,AAS
PLEASE IN ORDER

Answers

the first one is SSS, the second one is SAS, the third one is AAS, and the last one is HL

First consider the system of equations y= -1/2x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x + 1 and y < x - 5. When comparing the number of solutions in each of these systems, which statement is true?

A. Both systems have an infinite number of solutions
B. The system of equations has more solutions
C. The system of inequalities has more solutions
D. Both systems have only one solution

Answers

Answer:

the answer is C, NOT B

Step-by-step explanation:

The system of inequalities will have more solutions than the system of equations , Option C is the corrrect answer.

What are Inequalities ?

Inequality is the relation between two unequal numbers or algebraic expression.

The inequality symbols are less than , greater than , less than equal to, greater than equal to.

It is given in the question that

the system of equations y= -1/2x + 1 and y = x - 5.

the system of inequalities y > -1/2x + 1 and y < x - 5.

x-5 = -1/2 x +1

2x+x=6*2

3x = 12

x = 4

x-5 >-1/2 x +1

x>4

The system of inequalities generally have more solutions and in this case definitely have more solutions than the system of equations.

To know more about inequalities

https://brainly.com/question/20383699

#SPJ2

-25 - (-100) + 62.3 *

Answers

snjejrnfjdiwnwmrkfudjjsHhahahahsd

Answer:

137.3

Step-by-step explanation:

Rewrite the linear equation x+3y=2.

Answers

Answer:

y=-1/3x + 2/3

Step-by-step explanation:

Write in slope-intercept form:

3y=-x+2

Divide by 3

y=-1/3x + 2/3

Pls helpppppppp......... :( :( :(

Answers

Answer:

Step-by-step explanation:

a: is not proportional

because you cant divide any of the tope numbers by the bottom numbers so u can leave the thing blanc.

b: is proportional

becuase you can divide the top and bottom by 30 so the answer is 30

hope this help :)

Answer: 30 for b

Step-by-step explanation:

PLEASE HELP ME 20 POINTS

Answers

Answer:

500

Step-by-step explanation:

Find the density ( use the triangle formula) Write the formula & show all three steps. Volume is 23 ml Mass is 18g

Answers

Answer:

d=0.78g/ml

Step-by-step explanation:

d=m/v

d=18/23

d=0.78 g/ml

Find the value of f(-4)

Answers

Step-by-step explanation:

PLEASE TYPE FULL QUESSTION

What’s the full question

Stefan sells Jin a bicycle for ​$116 and a helmet for ​$16. The total cost for Jin is 110​% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

He originally spent 120$

He made 12 extra dollars.

Step-by-step explanation:

To solve this I turned the 110% into a decimal.

So I divided 110 by 100 and got 1.1

In order to find the original number you would then need to divide the total cost of the bicycle and helmet together by 1.1

So, 116 + 16 = 132

132/1.1= 120

Hope this helps

NEED HELP IMAGE ATTACHED!!!

Answers

Answer:

A.

[tex] \frac{ {7x}^{2} - 5x + 1}{4x + 1} [/tex]

Step-by-step explanation:

Since the denominators are the same we just have to combine the top.

[tex] {x}^{2} - 5x + {6x}^{2} + 1[/tex]

Combine alike terms.

[tex] {7x}^{2} - 5x + 1[/tex]

put that over our denominator.

[tex] \frac{ {7x}^{2} - 5x + 1 }{4x + 1} [/tex]

Plz help will name brainiest and 100 points

Answers

Answer:

51

Step-by-step explanation:

Multiply 3 2/5 by 15

Change the mixed number to an improper fraction

3 2/5 = (5 * 3 + 2) /5 = 17/5

17/5 * 15

17 * 15/5

17 * 3

51

Answer:

Hey bby <3 i would have to say it's E

Step-by-step explanation:

2+2/4+7-9x(-5).

Please help me

Answers

Answer:

109/2 is the answer of your question . Use PEMDAS rule

Rewrite in simpliest terms-

−0.2(3p−0.9)+0.4(−0.9p−5)

Answers

Answer:

-0.96p - 1.82

Step-by-step explanation:

Help me with this please

Answers

Answer:

It would be -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

You need to separate the 8 from each side of the equation. Picture it like this:

-104= 8 (multiplied by) x

To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.

-104/8=8x/8

-13=x

In last Quiz, Ahmed answered 24 out of 30 questions correctly. In this quiz he answered 20 out of 24 questions correctly. On which quiz did Ahmed have better results?

Answers

Answer:

He scored better on the second test by a margin of 3%.

Step-by-step explanation:

Find the percentage of each one by dividing Ahmed's score / Total possible score

24/30 = 0.8 > move the decimal place over twice for % > 80%

20/24 = 0.83333 > move the decimal place over twice for % > 83%

He scored 3% better on the second test.

Mai biked
6
3
4
miles today, and Noah
4
1
2
biked miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

Answer:  i cant understand the question but its either 2.25 if you mean how much more or 6.3 if you mean divided by

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Find the product of 11/12 (-2.4)

Answers

Answer:

-1.961666666666

Step-by-step explanation:

The highest level of PEMDAS here is multiplication/division which is done left to right. So do 11/12 first.

11/12 (-2.4)

.916 (-2.4)

Then multiply to get an answer of -1.961666666 ( the six repeats forever)

58 = k + 6 show work if u can ​

Answers

Answer:

[tex]k = 52[/tex]

Step-by-step explanation:

Isolate k:

[tex]58 - 6 = k + 6 - 6[/tex]

solve for k:

[tex]k = 52[/tex]

Answer:

The answer is 52. Like it says move everything to one side

Please help with this. I will give you 5 score

Answers

(2x2) + 4((3x2)/2) = 4 + 12 = 16 in^2

Jennifer wants to buy a new television set that regularly sells for $900. Because she works at the store, Jennifer will receive an employee discount of 30% off the regular price, but she will have to pay 6% sales tax on the adjusted price. What will be Jennifer's final cost to buy the television?

Answers

Answer:

$667.80

Step-by-step explanation:

30% of 900 is 270, so the price of the TV would be 630 without the tax. 6% of 630 is 37.8, so in total, the price would be $667.80

I really need help!
Write the equation of the line with the given slope which passes through the given point.Please show work.
m = 3 (2, -3)

Answers

It might be 4 sorry if I’m wrong

Casey wants to buy a gym membership. One gym has a $176 joining fee and costs $29 per month. Another gym has no joining fee and costs $51 per month.


Part 1 out of 2
In how many months will both gym memberships cost the same? What will that cost be?

Answers

Answer:

8 months for cost to be same, cost will be $408

Step-by-step explanation:

x = months

176 + 29x = 0 + 51x

176 = 22x

8 = x

176 + (29*8) = 408

0 + (51*8) = 408

Which fractions are equal to −9/36?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

-1/4, -3/12

Step-by-step explanation:

:)

In a survey of 2300 people who owned a certain type of​ car, 460 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

20%

Step-by-step explanation

let's assume 100% = 2300

x% = 460

100% / x% = 2300/460

460x100/2300 = 20

the answer is 20%

Answer:

The survey shows that 20% of the individuals were satisfied with the car.

Step-by-step explanation:

We are given that 2,300 people were surveyed.We are also given that 460 of those individuals would buy that car again.We need to find the percentage of individuals that were satisfied with the car.

When we need to find the percentage of a population, we can use the following formula:

[tex]\displaystyle \frac{\text{part}}{\text{whole}} \times 100[/tex]

We need to identify the part and the whole in this problem.

We are given that 2,300 people are surveyed, so this is the whole portion.

We are also given that 460 were satisfied, so this is the part portion.

Therefore, we can set up our fraction.

[tex]\displaystyle \frac{460}{2300}[/tex]

Now, let's solve the percentage.

[tex]\displaystyle \frac{460}{2300} \times 100\\\\\frac{2}{100} \times 100 = 20\%[/tex]

Therefore, of those surveyed, 20% of the individuals were satisfied with the car.

help? I know what i’m doing somewhat but i really just didn’t wanna pay attention in class the day this was taught

Answers

To solve the equation for x, first divide both sides of the equation by 4 to get [tex]e^{2.7x}=\frac{33}{4}[/tex]. Then, take the natural logarithm of both sides (base e) to get [tex]\ln e^{2.7x} = \ln (33/4)[/tex]. The left hand side of this equation if equal to 2.7x, so we get [tex]2.7x = \ln(33/4)[/tex]. The final step is to divide both sides of the equation by 2.7, to get that [tex]x =\frac{ \ln (33/4)}{2.7}[/tex]. This is approximately equal to 0.782.

Answer:

ily

Step-by-step explanation:

Can someone help me please

Answers

Answer:

krkk4k4k

Step-by-st man this really is an annoying question

Log_10 x =2 what does x equal???? Plz help

Answers

Answer:

x = 100

Step-by-step explanation:

[tex]Log_{10} x =2 \\ \\ x = {10}^{2} \\ \\ x = 100[/tex]

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