Identify all of the roots of the function f(x) = x^3 - 5x^2-2x+24

Answers

Answer 1

The roots are -2, 3 and 4.

What are roots?

A solution to an equation, usually expressed as a number or an algebraic formula.

Given:

x³-5x²-2x+24

As, x+2 divides the x³-5x²-2x+24 gives quotient x²−7x+12.

Now,

x²−7x+12.

=x²− 4x -3 x+12.

=x(x-4) - 3(x-4)

=(x-4)(x-3)

Hence, the roots are -2, 3 and 4.

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Related Questions

I need help on this math question first one to answer gets brainiest

Answers

Answer:

D is correct

Step-by-step explanation:

one of the factors of 2d2 + 5d - 12 is d + 4 ,which of the following the other factor?​

Answers

Answer:

2d-3

Step-by-step explanation:

it may help you to understand

Holiday Rent a Car rents a compact car for $24.95 per day plus $0.23
per mile. Cargo Rent a Car rents a compact car for $ 22.95 per day
plus $0.31 per mile. Write a system of equations and solve it to find out
what daily mileage gives the same rental charge for both cars.

Answers

Answer:

a Car rents a compact car for $24.95 per day plus $0.23 per mile. Cargo Rent a Car rents a compact car for $ 22.95 per day plus $0.31

Step-by-step explanation:

because its plus

25 miles

Step-by-step explanation:

8r+15 • factoring expressions

Answers

Answer:

The expression is not factorable with rational numbers

Step-by-step explanation:

10 Willie and two of his friends earn money mowing lawns in their neighborhood. On Saturday,

they mowed two lawns and were paid $28. If Willie and his friends split the earnings equally,

which expression does NOT equal how much Willie will receive from working on Saturday?

Answers

The requried expression that represents the earnings received by willie is 3x = 28.

AS mentioned in the question, they mowed two lawns and were paid $28. Willie and his friends split the earnings equally,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let x be the amount received by Willie,
according to the question,
3x = 28
x = $9.33

Thus, the requried expression that represents the earnings received by willie is 3x = 28.

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Linear models functions

Answers

6/2 + 2 is the correct answer

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The cosine of the complimentary angle to 38°
a. 0.68
b. -0.16
C. -0.22
d. 0.62

Answers

Answer:

The cosine of the complementary angle to 38° is 0.62. Answer: d

Explanation:

Complementary Angle

Two angles x and y are complementary if

x+y=90°

The complementary angle of 38° is 90°-38°= 52°

Now use a calculator to find the approximate value of

[tex]\cos 52^\circ \approx 0.61566[/tex]

Rounding to two decimal places:

[tex]\cos 52^\circ \approx 0.62[/tex]

a. Incorrect. The cosine of 52° is not 0.68

b. Incorrect. The cosine of 52° is not -0.16

c. Incorrect. The cosine of 52° is not -0.22

d. Correct. The cosine of 52° is 0.62 to two decimal places.

Calculate the average rate of change of the function y=2x+5 over the interval 0 to 3.

Answers

Answer:

3

Step-by-step explanation:

I have no idea I just need points!! :)))))

identify the x and y intercepts on the chart pictured

Answers

Y intercept = -2

There is no X intercept as it is an asymptote

Find the midpoint of the segment ending in the points 0,9 and 5,1

Answers

U se the midpoint formula to find the midpoint of the line segment.
(5/2,5) or (5,5/2) it’s one of them .gotta be I’m pretty sure it’s (5/2,5)

a. It is important to label all your variables and expressions clearly because: it will help you get your equations set up c. it will solve a system of equations correctly b. it will check your answers d. it will allow you to find definitions better​

Answers

Answer:

I'm pretty sure it's A. It will help you get your equations set up correctly

Step-by-step explanation:

For anyone needing this answer in the future lol

Answer: a. it will help you get your equations set up correctly

If y = 12 when x = –15, find y when x = 2.

Answers

Answer:

29

Step-by-step explanation:

First make an equation that shows the relationship between x and y by finding what you need to do to x to get y:

-15 + ? = 12

? =  27

so the equation is : y = x + 27

now just plug in 2 for x:

y = 2 + 27

y + 29

Raleigh went to a gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in food and drinks, and put the rest of the money on a gaming card to spend at the arcade. Each game cost $1.25. Choose which inequality represents how many games "g" he can play.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Total amount to spend = $55

Amount of food and drinks purchased = $14.25

Amount put on gaming card = $(55 - 14.25) = $40.75

Cost per game = $1.25

Number of games (g) he can play

Number of games g:

Amount put on gaming card / cost per game

= $40.75 / $1.25

= 32.6 games

g ≤ 32

If z = (15 + 8i) ÷ (3 - 4i), then |z| = _____.

2
5
5/17
3 2/5

Answers

2/5 is your answer to the question

Trenton’s scouting group made 100 T-shirts for a charity fundraiser. The circle graph below compares how many of each different colored T-shirt they made.

Answers

Answer:

please tag the the pic if question

Image

Step-by-step explanation:

For anyone that needs the image for the problem, I have the same question so please help solve ty

HELPPP!!! I'LL GIVE BRAINLIEST TO CORRECT ANSWER!!
The units of the subway map below are in miles. Suppose the routes between stations are straight. Station​ F, not shown on the​ map, is 12 miles west and 3 miles north of Station A. What is the approximate distance between Station E and Station​ F?


The distance from Station E to Station F is approximately ___ miles. ​(Round to the nearest tenth as​ needed.)

Answers

Answer:

8.2 miles

Step-by-step explanation:

a²+b²=c²

-12-(-4)=-8

3-1=2

-8²+2²=68

square root of 68 is 8.24 and rounded to the nearest 10th is 8.2 miles

If x is 45% of y, then 110% of y is what percent
of x, rounded to the nearest percent?
A. 155%
B. 190%
C. 220%
D. 244%
E. 280%

Answers

Answer:

c bro okkkkkkkkkkkkkkmmmmmmmkkkkkkkkkbey

Solve y=4x+rx+6 for x

Answers

Answer:

x  =  ( y  −  6 ) / (  4  +  r  )

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x  =  ( y  −  6 ) / (  4  +  r  )

This is my question​

Answers

Answer:

week 4 had the greatest weight change

Right triangle XYZ is drawn on a coordinate plane

Which of the following is closest to the perimeter of XYZ?

Answers

So cuz is across from y which is zyx

Use a calculator to graph the functions y = –3|x – 2| and y = x3 – 3x – 3. How many points of intersection do the functions share?
0
1
2
3

Answers

They have 3 intersections

Answer:

They have 3 intersection

Step-by-step explanation:

If you graph the functions they would have 3 intersections

2. At Burger World, you can buy a party platter of 25 burgers for $75. What
is the unit rate price of one hamburger?

Answers

$3 per burger. You divide 75 by 25.

Write as a unit rate: 66 miles to 3 gallons *

Answers

Answer: 22 miles per gallon

Step-by-step explanation: 66/3 = 22.

Answer:

22 miles per gallon

Step-by-step explanation:

66/3=22

A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which rule describes the translation?

Answers

Answer:

(x,y)>(x+4,y-3)

Step-by-step explanation:

set up is (x,y)>(x+a,y+b)

a=left and right

b=up and down

positive= left or up

negative= right or down

determine if the following scale factor would be an enlargement or reduction.
scale factor: 2.5

Answers

Answer: Enlargement

Step-by-step explanation: If the number is larger than 1 it is an enlargement if it is smaller it is a reduction.

Answer:

It would be an enlargement

Step-by-step explanation:

You are moving each point 2.5 units out

Which statement describes the effect on the parabola f(x)=2x²-5x+3 when its changed to f(x)=2x²-5x+1

Answers

Answer:

(B)

Step-by-step explanation:

The pressure of a fixed volume of a certain gas is related to its temperature as shown in the table below.
Temperature of Gas vs. Pressure
Temperature (in degrees Celsius)
Pressure (in pascals)
44
91
52
93
60
95
68
97
76
99
Which type of function best models the data in the table?
O exponential
O logarithmic
O linear
O quadratic

Answers

Answer:

c.) linear

Step-by-step explanation:

just took the quiz

The function represented in the table is a linear function given by y = (1/4)x + 80

What is an equation?

An equation is an expression that shows the relationship between two or more number and variables.

Let y represent the pressure of the gas at x temperature.

Using the point (44, 91) and (52, 93), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-91=\frac{93-91}{52-44} (x-44)\\\\y=\frac{1}{4} x+80[/tex]

The function represented in the table is a linear function given by y = (1/4)x + 80

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please helpppppppppp

Answers

Answer:

wrdfrdfrDFDFDFzfsdfffq

Step-by-step explanation:

dfdfgdf d f df

simplify (2^5/3^2)^4
PLEASE HELP❤️

Answers

(32/9)^4 or 159.8 is the same as 160

Suppose quadrilateral ABCD has been transformed by ry=x. What are the coordinates for the vertices of the reflected quadrilateral A’B’C’D’?

Answers

Answer: A’ = (0, -4)

B’ = (-2, -5)

C’ = (-4, -4)

D’ = (-2, -1)

Step-by-step explanation:

just did the assignment on edge

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Plzzz hellllppppp Im failing this class!!!! The alpha level is the set of analysis of the data. Identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning that the critical region is split across both tails of the distribution. The z-score boundaries at an alpha level = .05 are:_________ GIVE YOU LOTS OF POINT, ANSWER ASAP! Calculate the number of roots of 2sin^3x-5sin^2x+2sinx=0in the interval 0 Question 4 A coach plans to order new volleyballs and soccer balls. The cost of each volleyball is $20. The cost of each soccer ball is $25. The coach plans to order at least 50 volleyballs and soccer balls in The coach can spend a maximum of $1,100. Which graph represents x, the number of volleyballs, and y, the number of soccer balls that the coach can order? Sarah Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 818 points. The number of two-point field goals that Sarah made was 69 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 28 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Sarah Wilson made during the 2006 regular season According to Chinese beliefs, what role did the Mandate of Heaven play in the dynastic cycle? Solve the equation for y. 5y. x= 10 solving for x in geometry with triangle Write the number six hundred ninety-two thousand, four in expanded form Can someone please answer these for a timed test Please help I don't know thisWhat is 2+2A: FishB: 2C: 4D:2+2Please help I will give brainliest Solve the equation. -1/2(4x-10)=5-2x Which anatomical plane divides the body into left and right portions?A. SagittalC. TransverseB. Frontal What is the acceleration of the object at t = 4s? Given the mass number and atomic number, how do you determine the number of neutrons? The solution to -2(1-4x)=3x+8 is____? Why did Burke think it necessary to let France keep a foothold in North America? The variable that you/I the researcher get to choose.Independent VariableDependent VariableExperimental Control Why did conflict continue between the Powhatan people and the English? Was it resolved? Why orwhy not?