What is the cubic polynomial in standard form with zeros 5, 3, and –4?

Answers

Answer 1

The cubic polynomial in standard form with zeros 5, 3, and –4 is `x³ - 4x² - 17x + 60`.

The cubic polynomial in standard form with zeros 5, 3, and –4 is obtained by multiplying the three factors: (x - 5), (x - 3) and (x + 4) and then simplifying it to standard form. Here's how:Given zeros: 5, 3, -4Using zero product property: (x - 5)(x - 3)(x + 4) = 0Multiplying the three factors using distributive property:x(x - 3)(x + 4) - 5(x - 3)(x + 4) = 0x(x² + x - 12) - 5(x² + x - 12) = 0Expanding: x³ + x² - 12x - 5x² - 5x + 60 = 0Combining like terms:x³ - 4x² - 17x + 60 = 0The cubic polynomial in standard form with zeros 5, 3, and –4 is `x³ - 4x² - 17x + 60`. The standard form of a cubic polynomial is ax³ + bx² + cx + d where a, b, c, d are constants.

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Related Questions

x2 = 36 solve for x please answer

Answers

Step-by-step explanation:

Given

x² = 36

x² =( +6)²

x = +6

Hope it will help :)

Answer:

x= 18

Step-by-step explanation:

Divide both sides by 2

2 and 2 cancel out

36/2=18

check that it fits

2 x 18=36

18 is correct

Hope this helps ^-^

What is the main idea of this text
Atkins agreed to testify against Manson in exchange for avoiding the death penalty. Her grand jury testimony led to Manson being arraigned for the murders on Dec. 11, 1969. Atkins later recanted her testimony, and her deal was revoked by the prosecutors [source: Steffens and Staples]. Linda Kasabian, who hadn't entered any of the houses or committed any murders, was granted immunity and testified for the prosecution during the trial.​

Answers

Answer:

the answer is Atkins agreeing to testify against Manson in exchange for avoiding the death penalty

How many fluid ounces are in 1 quart

Answers

1 quart is 32 fluid ounces

Please I’m desperate and tell me how you did it

Answers

Given:

Triangle EFG is similar to triangle HIJ.

To find:

The measure of side IJ.

Solution:

We know that, corresponding sides of similar triangles are proportional.

Triangle EFG is similar to triangle HIJ.

[tex]\dfrac{EF}{HI}=\dfrac{FG}{IJ}[/tex]

Putting the given values, we get

[tex]\dfrac{7}{32}=\dfrac{4}{IJ}[/tex]

[tex]7\times IJ=4\times 32[/tex]

[tex]IJ=\dfrac{128}{7}[/tex]

[tex]IJ=18.2857[/tex]

[tex]IJ\approx =18.3[/tex]

Therefore, the measure of side IJ is 18.3 units.

find the tangents of the acute angle in the right triangle. write each answer as a fraction​

Answers

Answer:

[tex]tanD=\frac{7}{24}[/tex]

[tex]tanF=\frac{24}{7}[/tex]

Step-by-step explanation:

We are given that

ED=24units

EF=7units

FD=25 units

We have to find  the  tangents of the acute angle in the right triangle

We know that

tangent=[tex]\frac{Perpendicular\;side}{Base}[/tex]

Using the formula

[tex]tanD=\frac{EF}{ED}[/tex]

[tex]tanD=\frac{7}{24}[/tex]

[tex]tanF=\frac{ED}{EF}[/tex]

[tex]tanF=\frac{24}{7}[/tex]

Eqiuvalent expressions
5(x)(x)(x)(x)

Answers

Answer:

5x^4

Step-by-step explanation:

what is the mean of the data set? 16, 24, 26, 13

Answers

Answer:

20

Step-by-step explanation:

17+24+26+13=80

80/4=20

Write an equation and solve: At Trader Joes, Mrs.
Jacobs buys bananas for $0.65 per pound and a
frozen pizza for $4.99. The total for her purchase
was $6.94. How many pounds of bananas did
Mrs. Jacobs buy?

Answers

6.94-4.99= 1.95

Take the 1.95 divid by the 0.65 per pound and she bought 3 pounds

Jazzy goes to bed 3 h after dinner.

Yesterday, she spent 1 1/2 h on her homework and 2/3 h on the telephone after dinner.

How much time does she have before bed time?


PLEASE SHOW YOUR WORK!!!

Answers

Answer:

It was easy

Step-by-step explanation:

11 x 2 = 22

3 x 2 = 6

22 x 6 = 132

The time Jazzy has before going to bed is  [tex]\frac{5}{6}[/tex] hour

The first step to take in determining the answer is to add the hours she spent on various activities she did after dinner

Sum of activities done after dinner = hours spent on homework + hours spent on the telephone

[tex]1\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex]

[tex]1\frac{3 + 4}{6}[/tex]

= [tex]1\frac{7}{6}[/tex]

=[tex]2\frac{1}{6}[/tex]  hours

Th second step is to subtract the total hours Jazzy spent on activities from the hours Jazzy has before going to bed after dinner

Time left before she goes to bed = time she has to go to bed after dinner - total hours spent before going to bed

3 - [tex]2\frac{1}{6}[/tex]  hours = [tex]\frac{5}{6}[/tex] hour

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what is the circumfrence of this circle? pi=3.14 formulas: C = (pi) * d (or) c=2*(pi) * r

Answers

Answer:

75.36 cm

Step-by-step explanation:

Given.

radius (r) = 12 cm

Circumference (C)

= 2*π*r

= 2 * 3.14 * 12

= 75.36 cm

Hope it will help :)

Identify the property demonstrated by the equation. x + (3 + 5 ) = (x + 3 ) + 5

Answers

It is called associated property.
The ( ) are moved around, but the answer will be the same.

Using suitable identity find 5.62

− 0.32​

Answers

Answer:

5.62 - 0.32= 5.3 or 5.30

Step-by-step explanation:

PLEASE PLEASE HELP ME!!!

Answers

I tried to show all work.

Answer:

majadoxkdkdkrjjdkaoxjxjdhuriqwlsnxbxjdiirkekrnrnrjhfuxueiejhrhd

Use the Distributive Property to rewrite the algebraic expression. 5(2x + 7)

wrong answers reported, correct answers get 5 stars

Answers

Answer:

10x + 35

Step-by-step explanation:

In distributive property, you have to distribute that 5 to both the 2x and the 7, so then it would look like this:

5(2x) + 7(5)

Then we just further simplify and get:

10x + 35.

Hope this helped, let me know if you have any questions

Is y=9 a horizontal line or vertical

Answers

Answer:

Horizontal

Step-by-step explanation:

Answer:

y = 9 is a horizontal line :)

Step-by-step explanation:

y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .

a right circular cylinder with a radius of 2.3cm and a height of 1.4cm has a total surface area of ​

Answers

Answer:

i think 6.44

Step-by-step explanation:

first the diameter is 4.6 then multiply the 4.6 with 1.4 and u obtaine 6.44 (note:iam not sure iam still in seven grade)

Ram is running a bakery. He has made a street sign to direct people to his bakery. He painted one side of the post and sign. What is the painted area? 10 in 10 in 6 in 45 in 5 in
A. 225 square inches
B. 355 square inches
C. 385 square inches
D. 275 square inches

Answers

Answer:

355 square inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=355

Which of the following could be the side measures of a right triangle? *

1)6 ft, 5 ft, 4 ft

2)8 ft, 7 ft, 6 ft

3)10 ft, 8 ft, 6 ft

4)12 ft, 10 ft, 8 ft

Answers

Answer:

option 1

Step-by-step explanation:

please Mark me as brainlist

The set of side lengths that could represent a right triangle is

12 ft, 10 ft, and 8 ft.

Option D is the correct answer.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:

6 ft, 5 ft, 4 ft

6² + 5² = 36 + 25 = 61

4² = 16

Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.

8 ft, 7 ft, 6 ft

8^2 + 7^2 = 64 + 49 = 113

6^2 = 36

Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.

10 ft, 8 ft, 6 ft

10^2 + 8^2 = 100 + 64 = 164

6^2 = 36

Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.

12 ft, 10 ft, 8 ft

12^2 + 10^2 = 144 + 100 = 244

8^2 = 64

Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.

Therefore,

The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.

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The Flightless Folly ship has 20 pirates aboard. 12 of those pirates wear an eye patch. What percentage of pirates wear an eye patch on the Flightless Folly?

Answers

60% of pirates wear an eye patch

what is 69% of 69 what is 69% of 69

Answers

Answer:

69% of 69 is 47.61 :)

What???? I think the person on the top is correct

What is 3 - 15/7? I am having trouble with that problem! Thank you for whoever helps.

Answers

Answer:

About -1.7142

Step-by-step explanation:

-

Find the area of the parallelogram. Round to the nearest hundredth if necessary.

Answers

Answer:

1424.81 square meters

Step-by-step explanation:

20.21 m * 70.5m = 1424.805 square meters

So then you round it to the nearest hundredth so then..

1424.81 square meters

Step-by-step explanation:

A of a parallelogram = Base ×height

= 20.21×70.5= 1424.805m

nearest hundreth = 1424.81 m

The perimeter of a square is represented by the expression 32x-12. . Write two equivalent expressions for the perimeter and explain how to find the length of one side. x=3

Answers

Answer:

P = 2(l+w) ----------(1)

P = 4l----------- (2)

P= 32x- 12

4l = 32x- 12

l = 8x- 3

One side will be equal to 21 units and the perimeter will be 84 units when x=3.

Step-by-step explanation:

The perimeter is given by the formula

P = 2(l+w) ----------(1)

where p= perimeter , l= length and w= width.

But a square has the length equal to the width so w= l and the formula becomes

P = 2( l+l)

P = 2 (2l)

P = 4l----------- (2)

The perimeter of the square is

P= 32x- 12

or

4l = 32x- 12

dividing the whole equation by 4 we get

l = 8x- 3

So the length of one side can be obtained by dividing the perimeter by 4.

If x= 3

then

l= 8(3)-3

l= 24- 3

l = 21

One side will be equal to 21 units and the perimeter will be 84 units.

P = 4l = 4(21)= 84

A circular cylinder has a curved surface area 1320cm square and the radius of its base is 10.5cm find the height and volume of cylinder.​

Answers

Answer:

h=9.51

v=3293.89

Step-by-step explanation:

hope it helps :)

Answer:

h = 9.51

v = 3293.89

Step-by-step explanation:

please mark me as brainliest

Suppose the radius of a circle is three units what is the circumference

Answers

Answer:

[tex]6\pi[/tex] or [tex]18.84[/tex] units

Step-by-step explanation:

The circumference of a circle can be found using the formula [tex]C=2\pi r[/tex], where [tex]C[/tex] is the circle's circumference and [tex]r[/tex] is the circle's radius. We know that [tex]r=3[/tex] and that we are solving for [tex]C[/tex]. Therefore:

[tex]C=2\pi r\\C=2*\pi *3\\C=6\pi[/tex]

Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], [tex]6\pi =6*3.14=18.84[/tex] units. Hope this helps!

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Boise, Idaho, and Reno, Nevada, is 430 miles. Express the distance in kilometers.


A.
431.6 km


B.
268.8 km


C.
688 km

Answers

Answer:  C) 688 km

=================================================

Work Shown:

k = 1.6d

k = 1.6*430

k = 688

430 miles is roughly equivalent to 688 km.

More accurately, 430 miles = 692.01792 km, so this approximation isn't too far off.

Answer: the answer is C. 688 km

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

Step-by-step explanation:

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. Express each distance in kilometers. the 430 miles between Boise, Idaho, and Reno, Nevada

k = 1.6 d

Where k is in kilometers n d in miles

The distance between Boise, Idaho and Reno, Nevada is 430

Substituting d= 430 we get,

k = 1.6(430)

k = 688

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

Which point has the coordinates (2, 3)?
у
5
4
B.
С
3
2
D
A
1
0
1
2
з
4
х
5
ОА
ОС
OD
ОВ

Answers

Answer:

Point B

Step-by-step explanation:

The first number in the brackets is X while the second is Y (x, y).

X is the bottom line, while Y is the line going up.

Find 2 on the bottom line and 3 on the upright line. This gives us B.

I am sorry for the poor explanation.

I NEED HELP WITH THISSSSSSSS!!!!!!

Answers

Answer:

The answers should be:

LRS = 137.5

NRS = 42.5

QRN = 137.5

MNR = 42.5

RNP = 137.5

KNP = 42.5

MNK = 137.5

Step-by-step explanation:

180 - 42.5 = 137.5

Answer:

ok this is going to be kinda confusing but here:

angle lrs: 137.5

angle nrs:42.5

angle nrq:137.5

angle knp:42.5

angle rnm: 42.5

angle mnk: 137.5

angle pnr: 137.5

Step-by-step explanation:

basically everything is either 137.5 or 42.5

Solve the equation, and choose the type of solution you
found.
2x + 8 = 2(x + 4)

Answers

Answer:

All real numbers are solutions

Step-by-step explanation:

2x + 8 = 2(x + 4)

~Simplify right side

2x + 8 = 2x + 8

~Subtract 8 to both sides

2x = 2x

~Divide 2 to both sides

0 = 0

Best of Luck!

Answer: the answer is infinite

Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers

Which equation does the model below represent? pls help !

Answers

Answer:

the answer to this is d

Step-by-step explanation:

x-3=5

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A single phase 2500/250V, two winding ideal transformer has a load of 10 < 40 connected t its secondary. If the primary of the transformer is connected to a 2400 V line, determine the following: a. The secondary current b. The primary current c. The input impedance as seen from the line d. The output power of the transformer in kVA and in kw e. The input power of the transformer in kVA and in kw some restaurants use tables and chairs instead of booths to create more flexible capacity. T/F? wans are widely used by organizations to link personal computers and to share printers and other resources. are the events the sum is 5 and the first die is a 3 independent events? why or why not? In the future, which type of identification is likely to replace physical identification?Group of answer choicesDigital idbar codesfacial scansComputer chips The presence of the radioactive gas radon (Rn) in well water obtained from aquifers that lie in rock deposits presents a possible health hazard in parts of the United States.a)Assuming that the solubility of radon in water with 1 atm pressure of the gas over the water at 30 degrees c is 7.27x10^-3 M, what is the Henry's law constant for radon in water at this temperature?b)A sample consisting of various gases contains 3.710-6 mole fraction of radon. This gas at a total pressure of 31atm is shaken with water at 30 degrees c. Calculate the molar concentration of radon in the water. the philosophy behind diversion is that an informal experience in the juvenile justice system. true or false Describe the scenes preferred by landscape painters T/F: In addition to its exceptional literary value, The Canterbury Tales has value as a satiric contemporary criticism. Consider an electrochemical cell with a zinc electrode immersed in 1.0 M electrode immersed in 0.10 M Zn^2+ and a nickel electrode immersed in 0.10 M Ni^2+Zn^2+ + 2e^- ---> Zn E degree = -0.76 VNi^2+ + 2e^- ---> Ni E degree = -0.23 V33. [Algorithmic] Calculate E for this cell.a). 0.53 V b). 0.50 V c). 0.56 V d). 0.47 V e). 0.59 V34. Calculate the concentration of Ni^2+ if the cell is allowed to run to equilibrium at 25 degree C.a). 1.10 Mb). 0.20 Mc). 0.10 Md). 0Me). none of these in the efficiency wage model, if the real wage is higher than the market-clearing wage so that there is an excess supply of labor (1 point) Find y as a function of t if 8y" + 27y = 0, = y(0) = 8, y'(0) = 6. y(t) = Note: This particular webWork problem can't handle complex numbers, so write your answer in terms of sines and cosines, rather than using e to a complex power. A bioengineer has designed a bone plate that has a rubber washer between the plate and the screws. What advantages and disadvantages would this insert have in comparison with a conventional plate and screws? What would be the effect of such a washer in conjunction with a compression plate? The length of a rectangle is represented by the function L(x) = 4x. The width of that same rectangle is represented by the function W(x) = 7x2 4x 2. Which of the following shows the area of the rectangle in terms of x? (L W)(x) = 7x2 2 (L W)(x) = 7x2 8x 2 (L W)(x) = 28x3 16x2 8x (L W)(x) = 28x3 4x 2. You cast a shadow 2 feet long next to a trees shadow that is 10 feet long. If you are 5 ft 6", how tall is the tree. Around to the nearest foot an example of ____________________ is when a renter gains permission to repaint the walls in his or her apartment a different color. A. legal access B. rental optionsC. landlord D. permissiveness E. self-expression the state of a thermodynamic system is always defined by its: a. temperature and pressure b. process c. end points d. properties A firm has issued 8% preferred stock, which sold for $100 per share par value. The flotation costs of the stock equaled $3 and the firm's marginal tax rate is 40%. The cost of the preferred stock is; compare and contrast the anatomy of australopithecines and homo by sorting the traits that are anatomically similar or anatomically different between them. A cylinder of radius r, rotates at a speed o> coaxially inside a fixed cylinder of radius r_0. A viscous fluid fills the space between the two cylinders. Determine the velocity profile in the space between the cylinders and the shear stress on the surface of each cylinder. Explain why the shear stresses are not equal.