Complete the steps to identify all potential rational roots of f(x) = 3x2 – x – 4.

Values of p are factors of
.
Values of q are factors of
.

Answers

Answer 1

Answer:

-4, 3

The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)

Step-by-step explanation:

For edge:)

Answer 2

Rational root theorem is used to determine the potential roots of a function

The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]

p represents the leading coefficient, while q represents the constant term.

So, we have:

[tex]\mathbf{p = 3}[/tex]

[tex]\mathbf{q = 4}[/tex]

The factors of p and q, are:

[tex]\mathbf{p =\pm 1, \pm 3}[/tex]

[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]

So, the potential roots are:

[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]

[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]

So, we have:

[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]

Read more about rational root theorems at:

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Related Questions

26=6k+8-6+2k

Need ASAP

Answers

Answer: k = 3

Step-by-step explanation:

Answer:

k=3

Step-by-step explanation:

26=6k+8-6+2k

combine all common integers from the same side, (8-6) and (6k+2k).

8-6=2

6k+2k=8

Which now translates the equation to 26=8k+2.

26=8k+2

continue by moving the (2) to the other side, do so by subtracting 26-2.

26-2=24

24=8k

Lastly, move the 8 to the other side of the equation by dividing 24/8.

24/8=3

Therefore, k=3

Which event prevented Descartes from publishing The World after he was done writing the book? serving as a soldier during the Thirty Years’ War accepting an invitation to tutor the queen of Sweden awaking from sleep due to three vivid dreams learning of Galileo’s imprisonment

Answers

Learning of Galileo’s imprisonment. You can also look this up on Brainly and Google

Answer:

Learning of Galileo’s imprisonment

Step-by-step explanation:

I just went over this last week and i am 100% sure that this is correct

What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them.​

Answers

Well.

Step-by-step explanation:

For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.

Step-by-step explanation:

You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah

Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week

Answers

Answer:

if it how long it will it take to pay her friend back its 135 weeks

Step-by-step explanation:

What is 4/6 + 5/7

Please add the fractions

Answers

[tex]\frac{4}{6}[/tex] simplified is [tex]\frac{2}{3}[/tex] this plus [tex]\frac{5}{7}[/tex] equals 1[tex]\frac{8}{21}[/tex]

a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why

Answers

Answer:

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Step-by-step explanation:

Given that

Volume of cube = V = 2197 cubic feet

Side of cube = a =?

Height of ware house = h = 14 feet

In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h

In order to check this we have to find the side/height of crate

So,

[tex]V = a^3\\2197 = a^3[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet[/tex]

So the height of cube is 13 feet.

Comparing the height of c and height of ware house we can conclude that

Height of Warehouse > Height of crate

h>a

14>13

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?

A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards

Answers

Answer:

it should be 12

i think :)

i hope im correct

Step-by-step explanation:

It should be 12
I think
Step-by-step-explanation
:D

A landscaper installs 12 sections of the trellis. Each section of the trellis is 0.75 yards long. How many yards of the trellis are installed altogether?

Answers

Answer:

9

Step-by-step explanation:

you would do .75*12 because there are 12 stories and each one is .75 yards long, so to get all together, you do 0.75*12

Sorry im in a hurry

Which inequality is represented by the number line?
PICTURE ATTACHED PLEASE HELP ME!!!

Answers

Answer:

A i think

Step-by-step explanation:

cause its gonna be more than 6- so yeah if it is right then b

What is the length of BC?
O 11
O 23
O 40
O 60
Plz help

Answers

Answer:

BC = 40

Step-by-step explanation:

Answer:

X=23

BC = 40

Step-by-step explanation:

Daikwon and Chris are about to record a new CD. They have a choice between two back up bands. One band charges $50 plus $20 for each take. The second band charges S20 plus $25 for each take.

Answers

Answer:

The second band

Step-by-step explanation:

50+20=70

20+25=45

:(((
Mrs. Roslin has 32 students in her class. Of these students, 14 are girls. She chooses one boy and one girl at random to help pass out papers. Determine the total number of outcomes.
(Basically how many different outcomes can be made... no explanation needed.)

Answers

Answer:

2 outcomes

Step-by-step explanation

The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:

Number of outcomes = number of options for choosing a boy x number of options for choosing a girl

Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.

So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.

Therefore, the total number of outcomes is:

18 x 14 = 252

Hence, the total number of outcomes is 252.

To learn more on probability click:

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Quadratic functions q and ware graphed on the same coordinate grid.
The vertex of the graph of g is 18 units below the vertex of the graph of w.
Which pair of functions could have been used to create the graphs of q and w?

Answers

Answer:q(x)=18x^2 and W(X) = x^2

Step-by-step explanation:

The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]

What is the vertex of the parabola?

The vertex of a parabola should be the point where the parabola crosses its axis of symmetry. In the case when the coefficient of the x2 term is positive, so the vertex will be the lowest point on the graph.

Since The vertex of the graph of g is 18 units below the vertex of the graph of w so the above functions should be considered.

Therefore, The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]

Learn more about graph here: https://brainly.com/question/18536923

Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?

Answers

Answer:

7 days

Step-by-step explanation:

Bamboo plant A = 1.2 + 0.45d

Bamboo plant B = 0.85 + 0.5d

Where,

d = number of days

Equate the two growth

Bamboo plant A = Bamboo plant B

1.2 + 0.45d = 0.85 + 0.5d

Collect like terms

1.2 - 0.85 = 0.5d - 0.45d

0.35 = 0.05d

Divide both sides by 0.05

d = 0.35 / 0.05

d = 7 days

Plant B be taller than Plant A after 7 days

Given the table, explain how to find the slope of the linear function

Answers

Answer:

Slope is 3

Step-by-step explanation:

y2 - y1/x2 - x1 = m

6 - 12/0 - 2 = m

-6/-2 = m

3 = m

Pls brainliest

does 27 divided by 5 result in 5 and 6

Answers

Answer:

27 divided by 5 = 5.4

Step-by-step explanation:

A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is 73' 30' 40"

Answers

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

cos θ = 0.3333

θ = cos^(-1) 0.3333

θ = 70.5°

32 lbs of apples cost $160. How much would 25 lbs cost? *

Answers

Answer:

$125

Step-by-step explanation:

If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125

Answer

125$

Step-by-step explanation:

5x32=160

5x25=125

Each pound of apples is equivalent to 5$

What is the image point of (-5,3) after a translation left 3 units and down 1 unit?

Answers

Answer:

(- 8, 2 )

Step-by-step explanation:

A shift of 3 left means subtract 3 from the x- coordinate

A shift of 1 down means subtract 1 from the y- coordinate

Translation rule is

(x, y ) → (x - 3, y - 1 ), thus

(- 5, 3 ) → (- 5 - 3, 3 - 1 ) → (- 8, 2 )

Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS

Answers

Given:

Side length of square is x = 10 in.

To find:

Area of a square with side length x when x = 10 in.

Check whether the area of a square and the length of its side directly proportional.

Solution:

Area of square is

[tex]Area=(side)^2[/tex]

[tex]Area=x^2[/tex]

For x=10, we have

[tex]Area=(10)^2[/tex]

[tex]Area=100[/tex]

Therefore, the area of square is 100 sq. in. when x=10 in.

For x=1,

[tex]A_1=1^2=1[/tex]

[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]

For x=2,

[tex]A_2=1^2=4[/tex]

[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]

Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].

Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.

£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day


I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out​

Answers

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

HELLLLPPPP MEEE PLZZZ!!!!

Answers

What happened?
I think I can help :3

LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many

Answers

Answer: D

D-infinitely many

Step-by-step explanation:

Took the Analyzing Solutions quiz on Edge 2020

Answer: D

D-infinitely many

Step-by-step explanation:

Edge 2020

I would really appreciate it if sombody helped me please i suck at me math :(

Answers

the exponent 2 outside the brackets is distributed on 3 as well. 3 exponent 2 gives 9, not 6. answer would be 9x^4y^8

Spectrum word problems Grade 8 HELP

Answers

Answer:

add all the numbers up in 1 2 3 4 and 5

Step-by-step explanation:

Answer:3 4 5 7

Step-by-step explanation:

please everyone mark me as brainlest

Answers

Answer:

for brainliest you have to give answers not to ask questions

Step-by-step explanation:

then the people choose you brainliest if you give good answers

Question - Which image shows a 90 degree clockwise rotation about the origin?

Can somebody help me with this. Will mark brainliest!

Answers

Answer:

Choice 1!

Step-by-step explanation:

'Solve 4x- c= k for x.

Answers

Answer:The answer would be x=c+k/4

Step-by-step explanation:

The required solution for the equation ax -c = k for x is x = (k + c)/4.

Given that,
To determine the solution of the equation  4x- c= k for x.

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.

Here,
4x - c = k
Now, simplifying the above equation for x,
4x - c = k
4x = c + k
x = (c + k) / 4

Thus, the required solution for the equation ax -c = k for x is x = (k + c)/4.

Learn more about simplification here: https://brainly.com/question/12501526

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What number is 9% of 118?

Answers

Answer:

10.62 is the correct answer ☺

The correct answer is 10.62 or 11 rounded:)

Write the slope-intercept form for the equation of the line.

Answers

Slope intercept form is y=mx+b where m represents the slope and b is the y- intercept. From the graph we can see the y intercept is -4 and the slope is 2.
**To find the slope you find 2 points in the line and use the formula y2-y1 / x2-x1
(2,0) (0,-4) -4-0 / 0-2 = -4 / -2 = 2**
Y=mx+b —> y=2x-4
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