A polynomial function has a root of 5 with multiplicity 3, a root of 1 with multiplicity 2, and a root of 3 with multiplicity 7. If th
function has a negative leading coefficient and is of even degree, which statement about the graph is true?
O The graph of the function is positive on (-0, -5).
O The graph of the function is negative on (-5, 3)!
O The graph of the function is positive on (-0, 1).
O The graph of the function is negative on (3,co).

Answers

Answer 1

Answer:

The graph of the function is negative on (3,0)

Step-by-step explanation:

The limiting behavior of a function describes how a function behaves as x ⇒ ±∞. Its behavior is determined by the degree of a polynomial and the sign of its leading coefficient.

Since the function [f(x)] is an even degree polynomial with negative leading coefficient, then f(x) ⇒ -∞ as x ⇒ ±∞. The graph of the function is negative at the root. Since it has a root of 3, The graph of the function is negative on (3,0)

Answer 2

Answer:

The graph of the function is negative on (3, infinity) The answer is D

Step-by-step explanation:


Related Questions

describe the daily high temperature using the measures of center 34 31 35 24 31 33 36

Answers

is this for siecnce or math ??

Can someone help me with this question

Answers

Answer:

none of the above

Step-by-step explanation:

1/8 = .125

.11 =11/100

.11 repeating = 1/9

.16 = 4/25

.1666666666repeating = 1/6

pls help will mark as brainliest

Answers

Answer:

4

Step-by-step explanation:

In the equation y=mx+b

b is the the value of y in the y-intercept

so change 2x+3y=12 into y=mx+b (Subtract 2x from both sides)

so 3y+2x-2x=12-2x

so 3y=-2x+12 (divide by 3)

y=-2/3x+4 so

(0,4) or

4

Will mark brainliest for whoever answers

Answers

Answer:

i dont khow  

i guess true

Step-by-step explanation:

Answer:

true

your answer is correct

Step-by-step explanation:

VERY IMPORTANT I NEED HELP!!!

What is the following quotient?
/96
^
2.3
2/22
12

Answers

Answer:

2√3

Step by step Explanation:

[tex] = > \frac{ \sqrt{96} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12 \times 8} }{ \sqrt{8} } \\ \\ = > \frac{ \sqrt{12} \times \sqrt{8} }{ \sqrt{8} } \\ \\ = > \sqrt{12} \\ \\ = > \sqrt{4 \times 3} \\ \\ = > \sqrt{2 \times 2 \times 3} \\ \\ = > 2 \sqrt{3} [/tex]

Please help! Will give brainliest, thanks and more points.

Look at the picture.

Answers

1296 because the volume of a pyramid is 1/3 lwh so you would multiply 18*18*12 and then divide that sum by three to get the answer.

If y=2x-8, what is the value of x when y=0?

A)-4

B)0

C)4

D)8

Answers

If y=0 then,
2x-8=0
2x=8
X=8/2
X=4
Answer is c

Answer:

x=4

Step-by-step explanation:

y = 2x - 8

Let y =0

0 = 2x-8

Add 8 to each side

8 = 2x-8+8

8 = 2x

Divide each side by 2

8/2 = 2x/2

4 =x

Tyrone weighed 1 box of macaroni on a scale and found it weighed 0.6 pounds. What could Tyrone do to find the total weight of 100 boxes of macaroni?

Answers

Answer:

He could multiply the amount one box ways by 100, or 0.6*100.

Step-by-step explanation:

He could times 0.6 by 100

Find an ordered pair (x, y) that is a solution to the equation
2x-y=4

Answers

answer:

ordered pair is (2,-4)

You could do (4,4) that’s is a solution to the equation.

Explanation:

2(4)-4=4

8-4=4

How can you check your answer?
Multiply 3 by 3, then add 7 and make sure
the answer is 21.
Multiply 3 by 3, then add 7 and make sure
the answer is 24.
Multiply 7 by 3, then add 3 and make sure
the answer is 21.
Multiply 7 by 3. then add 3 and make sure
the answer is 24.
DONE

Answers

Answer:

Option D is correct

Step-by-step explanation:

Multiply 7 by 3. then add 3 and make sure  the answer is 24.

7 x 3 + 3 = 21 + 3 = 24

Hope this helps!

:)

Answer:

Option D is correct

Step-by-step explanation:

Slope-intercept intro
What is the slope of y = 6x+2
Stuck? Watch a video or use a hint.

Answers

Answer:

slope = 6

Step-by-step explanation:

The equation of a line in slope- intercep form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x + 2 ← is in slope- intercept form

with slope m = 6

(5.67x - 8.16)+(3.6x + 9.2)
you dont have to find x you only have to simplify it

Answers

Answer:

Step-by-step explanation:

5.67x - 8.16 + 3.6x + 9.2

Write the like terms together

= 5.67x + 3.6x - 8.16 + 9.2  

{8.16 & 9.2 have different sign, so subtract and the result will have the bigger numbers sign}

= 9.27x + 1.04

If a = 10 and b =
-4, explain how to find the number of solutions to the equation.

Answers

Answer:

No solution

Step-by-step explanation:

4+ 2(5x-8)=ax+b

1. Plug in values: 4 + 2(5x-8) = (10)x + (-4)

2. Combine Like Terms: 4 + 10x -16 = 10x -4

3. Add 10x to both sides: 4 -16 = -4

4. Combine Like Terms: -12 = -4

-12 does not equal -4, so there is No solution

What is the opposite of -(-23)

Answers

Answer:

23?

Step-by-step explanation:

Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

Answers

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

[tex]\frac{3^{n+4} - 3^n}{16}[/tex]

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

[tex]\frac{3^{n+4} - 3^n}{16}[/tex] becomes

[tex]\frac{3^n * 3^4 - 3^n}{16}[/tex]

Factorize

[tex]\frac{3^n(3^4 - 1)}{16}[/tex]

[tex]\frac{3^n(81 - 1)}{16}[/tex]

[tex]\frac{3^n(80)}{16}[/tex]

3ⁿ * 5

5(3ⁿ)

The expression can not be further simplified.

However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.

Put the following rational numbers in order from greatest to least.

a. -0.4, -1/4, 4.0 x 10^-3, 40%
b. -1/4, -0.4, 40%, 4.0 x 10^-3
c. 40%, 4.0 x 10^-3, -1/4, -0.4
d. 4.0 x 10^-3, 40%, -0.4, -1/4

Answers

C) 40%, 4.0x10^-3, -1/4, -0.4 is correct

Show that if x, y, z are integers such that x^3+5y^3 = 25z^3, then x = y = 0.

Answers

Answer:

3125*k^9 + y^3 is an integer my closure property.

 but 5^(1/3) is not an integer, which forces z to be irrational.

Note that there is no way an integer value can rationalize 5^(1/3)

Step-by-step explanation:

x^3 = 25z^3 - 5y^3

x^3 = 5 ( 5z^3 - y^3)

x  =  (5 ( 5z^3 - y^3) )^(1/3) must be an integer

  = 5^(1/3) * (5z^3 - y^3)^(1/3)

Then  (5z^3 - y^3)^(1/3) = 25*k^3 for some integer k

 5z^3 - y^3 = 15625*k^9

 5z^3 = 15625*k^9 + y^3

  z^3 = 3125*k^9 + (1/5)*y^3

z =  ( 3125*k^9 + (1/5)*y^3 )^ ( 1/3)

I am not very good at angles please help me.

Answers

Answer:

∠3 and ∠7 ↔ Corresponding Angles

∠2 and ∠7 ↔ Alternate Exterior Angles

∠4 and ∠5 ↔ Alternate Interior Angles

∠3 and ∠6 ↔ Alternate Interior Angles

The probability of a particular manufactured product being defective is 1/100. How many defective products would be expected in a random sample of 1,500 products?

Answers

Answer:

15

Step-by-step explanation:

Just divide 1500 by 100

To solve this we need to make a proportion

[tex] \dfrac{1}{100} = \dfrac{x}{1500} \\ x = \dfrac{1 \times 1500}{100} \\ x = 15 \%[/tex]

Answer: 15%

A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.

Answers

Answer:

y= -7x+4

Step-by-step explanation:

(0,4)

(1,-3)

(2,-10)

4 is the y-intercept.

What is the value of the expression m2 + 3m when m = 4?
A. 15
B. 18
C. 20
D. 28

Answers

[tex]\text{Solve by plugging 4 to m:}\\\\(4)^2+3(4)\\\\16+3(4)\\\\16+12\\\\28\\\\\boxed{\text{D). 28}}[/tex]

The value of the expression [tex]m^{2} + 3m[/tex] when m =4 is 21.

What is expression?

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

What is substitution?

The process of swapping an algebraic letter for its value is called substitution.

According to the given question we have

An expression

[tex]m^{2} +3m[/tex]

We have to find the value of given expression when m =4, for this substitute the m =4 in the expression [tex]m^{2} + 3m[/tex]

⇒ [tex](3)^{2} + 3(4)[/tex]

⇒ 9 + 12 = 21

Hence, the value of [tex]m^{2} + 3m[/tex] when m =4 is 21.

Learn more about the expression and substitution here:

https://brainly.com/question/14619835

#SPJ2

Colleen recorded the type of trees in the woods near her house. She counted 20 spruce trees and 50 maple trees. What is the experimental probability that the next tree Colleen finds will be a spruce tree?

A) 2/7
B) 3/5
C)5/7
D)2/5

Answers

Answer:

The answer is A [tex]\frac{2}{7}[/tex]

Step-by-step explanation:


Sam plans to walk his dog a distance of 1 mile. He walks3/8
and stops to get a bottle of water. Then he walks 1/8of a mile
and stops to say hello to a friend. How far does Sam still hava to
walk his dog?

Answers

Answer:

4/8 or 1/2 more to go

Step-by-step explanation:

3/8 plus 1/8 is 4/8

so 8/8 minus 4/8 is 4/8

PLEASE HELP I AM STUCK I WILL GIVE BRAINLIEST!!!!!!

Answers

Answer:

c. 2+4(n-1)

b. 4+3(n-1)

Step-by-step explanation:

Look at the pattern: it starts at 2, and each term afterwards goes up by 4 each time. 2+4 = 6+4 = 10... et cetera.

2+4(n-1) is the equation.

Test this out with the fifth term.

t₅ = 2 + 4(n-1) = 2 + 4*4 = 2+16 = 18

Test it out with the first term, too.

t₁ = 2 + 4(n-1) = 2 + 4(0) = 2

If you follow the same pattern with part b, you find that the equation is

4+3(n-1)

Test it in the same manner.

Two trains leave a station on different tracks. The


tracks make an angle of 115° with the station as a


vertex. The first train travels 200 kilometers and


makes its first stop in Pocomoc, while the second


train travels 350 kilometers and makes it first stop


in Easton, How far apart are the trains when both


are at their first stop? Round the answer to the


nearest tenth


221,666.6 km


188.7 km


470.8 km


360.6 km

Answers

Answer:

470.8km

Hope this helped!!

Answer:

C. 470.8

on edge

Step-by-step explanation:

hope this helped

Please help with my homework

Answers

Answer:

12.92cm²

Step-by-step explanation:

[tex] area = \frac{1}{2} \times base \times height[/tex]

area= 1/2×7.6×3.4

Area = 1/2 × 25.84

Area = 12.92 cm²

the quotient of h and 8 is split by 12​

Answers

Answer:

i am lead to believe the answer is 4. if not, please don't hesitate to correct my mistake.

Step-by-step explanation:

How many kilometers are in 3, 250 centimeters?

Answers

there are 0.0325 kilometers in 3,250 centimeters

Answer:

None

Step-by-step explanation:

There are 100cm to a meter, you have 3250cm giving you 32.5m, a km is 1000m so ther are no kilometers with 3250 cm. Not even close

What is the volume of a rectangular prism with a length of 14 m, height of 6
m, and width of 3 m?

Answers

Answer:

252m^3

Step-by-step explanation:

Multiply all the numbers.

Answer:

252

Step-by-step explanation:

14 times 6 times 3=252

State the coordinates of a point in the solution set

Answers

Answer:

It's any point in the mixed color area

Step-by-step explanation:

The coordinates of a point in the solution set is (3,2).

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality'.

Given is the graph of system of inequalities,

The two lines are intersecting at (3,2), and the point at which the two lines intersects is considered to be the solution of the given system of equation.

Hence, the coordinates of a point in the solution set is (3,2).

For more references on inequalities, click;

https://brainly.com/question/28823603

#SPJ2

Other Questions
Determine which consecutive integers do not have a real zero of f(x) = x3 + 5x2 - x - 6 between them.a.(-6,-5)c. (-2, -1)b. (-5, 4)d. (1,2) On January 1, 2012, Browning Corporation had 75,000 shares of $1 par value common stock issued and outstanding. During the year, the following transactions occurred:Mar. 1 Issued 60,000 shares of common stock for $675,000June 1 Declared a cash dividend of $2.00 per share to stockholders of record on June 15June 30 Paid the $2.00 cash dividendDec. 1 Purchased 5,000 shares of common stock for the treasury for $18 per shareDec. 15 Declared a cash dividend on outstanding shares of $2.50 per share to stockholders of record on December 31Net income for 2012 amounted to $951,000.InstructionsPrepare journal entries to record the above transactions. Which feature should go in the "Shared" column?Select one:A. establishes a zoning boardB. guarantees individual freedomsC. requires a balanced budgetD. creates property taxes 1. __ are located in __ .2. and ____ are reactants.3. __ is made from __ .4. produces sugar and releases ___ .Choices:A. Carbon dioxideB. CellsC. CelluloseD. ChloroplastsE. OxygenF. photosynthesisG. SugarH. Water solve similar triangles Tyrone weighed 1 box of macaroni on a scale and found it weighed 0.6 pounds. What could Tyrone do to find the total weight of 100 boxes of macaroni? why was the hand cream used as a separating agent when the flubber was handled Show that if x, y, z are integers such that x^3+5y^3 = 25z^3, then x = y = 0. Which bug populations did survive during the air pollution? What kinds of artistic behaviors are needed to create a unique and meaningful artwork? How many seconds are required to make a left turn and join traffic? A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line. Why do globalization and increasing interdependence pose risks to the globaleconomy?O A. Global production cannot be as efficient as national production.B. Disruptions in one place have effects everywhere.C. There is no consistent set of international regulations.D. Worldwide competition leads to market concentration.SUBMITw< PREVIOUS (1) There are many examples of grand architecture in the world. (2) Some of the most impressive are buildings of the ancient city called Petra in Jordan. (3) Petra is the Greek word for "rock." (4) The early inhabitants of Petrathe Nabataeansdid not use wood or brick to make the structures, but instead, they carved them right out of the desert sandstone cliffs. (5) Two thousand years ago, Petra was an important center of activity where caravans of travelers would pass through on their way to trade goods in other regions. (6) Their power and riches can still be seen today in the remains of their city. (7) Although Petra was built in a rugged, dry desert, the Nabataeans made wise plans for collecting and storing water. (8) This water system was made of cisterns, or reservoirs, that held water and channels that directed water from one place to another. (9) After thriving for about 1,000 years, Petra began to decline. (10) The trade routes that had once gone through the city were changed to go toward the sea. (11) In addition, an earthquake devastated the area. (12) The ruins of the city were rediscovered in the 1800s by a European traveler who disguised himself as a local Bedouin, or local Middle Eastern person, to find the remote location. (13) Today, modern travelers can visit Petra and see its majesty in person; tours are available by foot, donkey, or camel. (14) Much of Petra remains to be seen; archaeologists have uncovered only 15 percent of it. (15) The rest of this city is still "lost" or underground. Where would the following sentence best fit in the passage? The Nabataeans themselves were intelligent and wealthy traders. A. after sentence 5 B. after sentence 14 C. after sentence 1 D. after sentence 12 Which of the following statements is most correct? a. Because taxes on long-term capital gains are not paid until the gain is realized, investors must pay the top individual tax rate on that gain. b. Retained earnings, as reported on the balance sheet, represents the amount of cash a company has available to pay out as dividends to shareholders. c. 70% of the dividends received by corporations is excluded from taxable income. d. 70% of the interest received by corporations is excluded from taxable income. e. The corporate tax system favors equity financing, as dividends paid are deductible from corporate taxes. One who has knowledge of all things is considered to be _____? What are some extreme nationalism examples today? Under which of the following conditions are consumers entitled to a free credit report?If they were accused of submitting a fraudulent applicationIf incorrect activity is found on a reportIf their credit was deniedIf they are in a certain amount of debt What are 2 positives and 1 negative for Market/Capitalist economies and then 2 positives and 1 negative for Command/Socialist economies. Prove that for any natural n the number 3^(n+4)3^n is divisible by 16.