3x3 - 7x2 + 6x - 14
Explain

3x3 - 7x2 + 6x - 14Explain

Answers

Answer 1

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

Answer 2

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]

[tex]\bold{Step-by-step\downarrow}[/tex]

[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]

[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]

[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]

[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]

[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


Related Questions

12+22+32+...+102 =?

Answers

Answer:

750 is the answer. Hope it helps!

HELP ME PLEASE THIS IS LOCKING ME OUT IN 5 MINUTES

Answers

Answer:

Your answer is A

Step-by-step explanation:

Is 16:14 equivalent to 64:60

Answers

Answer:

no

Step-by-step explanation:

64/16 = 4

60/14 = 4.28...

) Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question.

i need help plzzz an could you show your work thanks love

Answers

Answer:

how to make change for 50 cent.

Step-by-step explanation:

1. 3 dimes and 4 nickels

3 x 10 = 30. 4 x 5 = 20.

30 + 20 = 50

2. 2 quarters

25 + 25 = 50

3. 1 quarter and 2 dimes and 1 nickel

25 + 20 + 5 = 50

4. 5 nickels and 1 quarter

5 + 5 + 5 + 5 +5 + 25

Which graph represents the parametric equations x = 1 – t2 and y = 2t, where 0 ≤ t ≤ 5?

ANSWER: A

Answers

After plotting the above equation on the coordinate plane, we can see the graph of the function.

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have two parametric equations:

x = 1 – t² and

y = 2t

t = y/2  and

0 ≤ t² ≤ 5

1 ≤ 1 - t²≤ 4

1 ≤ x≤ 4

Plug the above value in x = 1 – t²

x = 1- (y/2)²

x = 1 - y²/4

4x = 4 - y²

y² = 4(1 - x)

Thus, after plotting the above equation on the coordinate plane, we can see the graph of the function.

Learn more about the parametric function here:

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A cylinder has a height h, and a radius (3h-2)

The area of the base is pi (3h-2)^2


The volume of the clinder is V= pi(3h-2)^2h


10. Multiply the polynomials to simplify the expression for the volume:

V=pi(3h-2)^2h by

Answers

Answer:

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Step-by-step explanation:

Given

Shape: Cylinder

[tex]Radius = 3h - 2[/tex]

[tex]Height = h[/tex]

[tex]Base\ Area = \pi (3h - 2)^2[/tex]

Required

Simplify the volume

The volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Substitute values for Base Area and Height

[tex]V= \pi(3h-2)^2*h[/tex]

Expand the bracket

[tex]V= \pi(3h-2)(3h-2)*h[/tex]

Open brackets

[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]

[tex]V= \pi (9h^2 -12h + 4) *h[/tex]

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

what is the perimeter of this tile 6in 2in​

Answers

Answer:

16in

Step-by-step explanation:

Most tiles a quadrilaterals meaning they have four sides, if it is 6in by 2 in, that means tou multiply both by two since there are two of each side length.

6 times 2 is 12

2 times 2 is 4

4 + 12= 16

Answer:

16 in

Step-by-step explanation:


Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77 and total payback of $4,596.96
Option B: 3 years at 4.7% interest with monthly payments of $125.31 and total payback of $4, 511.16
Which loan should Wilbert choose and how much will Wilbert save with that loan?

Answers

Answer:

85.8

Step-by-step explains

4596.96-4200=396.96

4511.16--4200=

396.96-311.16=85.8

so 85.8 and b

what is the solution to the equation y=2x+5

Answers

Answer:

x = -5/2

Step-by-step explanation:

y= 0

I dont know but i believe this is it.

Answer:

2x-y=-5

Step-by-step explanation:

y=2x+5

-2x+y=5

-(-2x+y=5)

answer: 2x-y=-5

what is the slope of (-20,-3), (19,-15)

Answers

Answer:

m= - 4/13

Step-by-step explanation:

Answer:

-4/13

Step-by-step explanation:

Hopefully this helps :)

which table shows a proportional relationship between x and y ?

Answers

Answer:

Table C

Step-by-step explanation:

Given

Table A to D

Required

Which shows a proportional relationship

To do this, we make use of:

[tex]k = \frac{y}{x}[/tex]

Where k is the constant of proportionality.

In table (A)

x = 2, y = 4

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{4}{2}[/tex]

[tex]k = 2[/tex]

x = 4, y = 9

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{9}{4}[/tex]

[tex]k = 2.25[/tex]

Both values of k are different. Hence, no proportional relationship

In table (B)

x = 3, y = 4

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{4}{3}[/tex]

[tex]k = 1.33[/tex]

x = 9, y = 16

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{16}{9}[/tex]

[tex]k = 1.78[/tex]

Both values of k are different. Hence, no proportional relationship

In table (C):

x = 4, y = 12

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{12}{4}[/tex]

[tex]k = 3[/tex]

x = 5, y = 15

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{15}{5}[/tex]

[tex]k = 3[/tex]

x = 6, y = 18

[tex]k = \frac{y}{x}[/tex]

[tex]k = \frac{18}{6}[/tex]

[tex]k = 3[/tex]

This shows a proportional relationship because all values of k are the same for this table

Write the numerical co-efficient of each term of the following expressions:

A) − xyz – 3oy + 6yz +4​

Answers

Answer:

Uncertain if the second term is 30 and not 3o. IF 30, then the coefficients are

-1, 30 and 6.

Step-by-step explanation:

Coefficients are numbers ahead of the variables (letters).

The number 4 is called a constant. A constant is not a coefficient.

The coefficient (number ahead of the letters)  of -xyz is -1.

Hope this helps.

The tape diagram a way to model 5/8x11

Answers

Answer:

55/8

Step-by-step explanation:

here u gooo good luck

Fill in the table using this function rule.
y=-2x +4

Answers

Answer

i think this is what you mean

Step-by-step explanation:

x          y

2         0

1          2

0         4

-1         6

-2        8

How do you Estimate the quotient of 1246 divided by 4

Answers

Answer:

See inside.

Step-by-step explanation:

Just think of 1000 divided by 4. Like that. Choose a rounded number close to the number you are trying to estimate, and solve the rounded number.

what are the next 3 terms in this:O,T,T,F,F

Answers

Answer:

Step-by-step explanation:

S, S, E.

Come on, do I have to spell it out for you?  :)

What is the factors for x squared plus 5x - 6

Answers

Answer:

=[tex](x-1)(x+6)[/tex]

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

a classroom is 30 feet wide the ceiling is 10 feet above the floor what is the volume​

Answers

Answer:

300 sqft

Step-by-step explanation:

30 times ten is 300 and the measure is feet squared

Answer:

9000 ft 3

Step-by-step explanation:

Find c. Round to the nearest tenth.

Answers

Answer:

Here,

150+10=180

162-180=18

Answer is 18°

Step-by-step explanation:

So the round of nearest tenth is 18°

Hope it will help have a great day at school. ^_^

solve and recieve brain list I took a better picture​

Answers

What did you say I’m confused lol

Solve the proportion: 9 is to 16 as M is to 32.

(please show working out!)​

Answers

Answer:

Step-by-step explanation:

9 : 16 :: M : 32

Means of extremes = means of means

= 9 x 32 = 16 x M

= 288 = 16M

288/16 = M

18 = M

Worth 20 points

Please answer these all in a fraction form! :) <3 ily all have a AMAZING day.

1. 1/8 ÷ 3/4 = ?
2. 3/5 ÷ 3/2 = ?
3. 4/1 ÷ 2/3 = ?
4.9/4 ÷ 6/5 = ?
5.22/4 ÷ 2/5 = ?​

Answers

Answer:

1. 1/8 ÷ 3/4 = 1/6

2. 3/5 ÷ 3/2 = 2/5

3. 4/1 ÷ 2/3 = 6

4.9/4 ÷ 6/5 = 15/8

5.22/4 ÷ 2/5 = 261/80

Step-by-step explanation:

Hope this Helped

Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ?

Answers

Answer:

$2000

Step-by-step explanation:

Let the monthly rent be x.

Then we have:

x + 0.5x + 0.4x = 38001.9x = 3800x = 3800/1.9x = 2000

Monthly rent is $2000

Answer:

the answer to your question is $2000

help! is it e? I’ll give u Brainly

Answers

Answer:

B

Step-by-step explanation:

If you look at 3 on the X-axis and go down 4 then you will get point B as your answer.

Answer:

E is the correct answer because A is (-4,-3), B is (-4,3), C is (5,1), D is (4,-3), E is (3,-4), and F is (-2,-4)

What is the missing side length?

Answers

Answer:

the answer is 3 miles

Step-by-step explanation:

1 +2 = 3 so 3

What is the discriminate of y=x^2-8x+2

Answers

Answer:

56

Step-by-step explanation: Use the values of a, b, and c to find the discriminant.

Answer:

[tex]\Delta =56[/tex]

Step-by-step explanation:

We are given:

[tex]y = x^2 - 8x + 2[/tex][tex]y=x^2-8x+2[/tex]

So, a = 1, b = -8, and c = 2.

The discriminant (symbolized by Δ) is given by:

[tex]\Delta =b^2-4ac[/tex]

So, our discriminant in this case will be:

[tex]\Delta=(-8)^2-4(1)(2)=64-8=56[/tex]

Since our discriminant is a positive value, our equation has two real roots.

what is :
2x + 10 = ?

Answers

Answer:

x = -5

Step-by-step explanation:

2x = -10

x = -10/2

x = -5

If is Factories so the answer is 2(x+5)

And if is not so the answer is 5

The surface covered by a rectangular field is 375 square yards. The width of the field is 10 yards longer than its length. Using factors, determine the length and the width of the field

Answers

Answer:

L= 15

W= 25

Step-by-step explanation:

w(w-10) =375

w^2-10w-375=0

w=25 or -15

Length=25-10 =15

The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let L and W be the length and width of the rectangle.

The area of the rectangular field is 375 square yards

W = 10 + L

As we know,

Area = LW

375 = L(10 + L)

375 = 10L + L²

L²+ 10L - 375 = 0

After solving the above quadratic equation:

L = 15 yards

L = -25 (length cannot be negative)

Plug L in the equation W = 10 + L to get the width of the rectangular field

W = 10 + 15

W = 25 yards

Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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There are some apples and 8 pears in a basket. Each of them is either green or yellow. There are three more apples than the total number of green fruit. There are 6 yellow pears. How many yellow apples are there in the basket?

Answers

Answer:

5 yellow apples

Step-by-step explanation:

Pears = p ; apples = a

p = 8 ; let Number of apples = x

All fruits are either green or yellow

Total green fruits = x - 3

Number of yellow pears = 6

Green pears = total pears - yellow pears

Green pears = 8 - 6

Green pears = 2

Green fruits = green pears + green apples

x - 3 = 2 + green apples

Green apples = x - 3 - 2

Green apples = x - 5

Apples = green apples + yellow apples

Yellow apples = apples - green apples

Yellow apples = x - (x - 5)

Yellow apples = x - x + 5

Yellow apples = 5

Hence, there are 5 yellow apples

There are 5 yellow apples in the basket.

What is an equation?

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

Let a represent green apples, b represent yellow apples, c represent green pears and d represent yellow pears, hence:

There are some apples and 8 pears in a basket:

c + d = 8

There are three more apples than the total number of green fruit:

a + b = a + c + 3

b = c + 3

c = b - 3

There are 6 yellow pears, d = 6. Since:

c + d = 8, hence:

b - 3 + 6 = 8

b = 5

There are 5 yellow apples in the basket.

Find out more on equation at: https://brainly.com/question/2972832

PLZ ANSWER THESE QUESTIONS IF YOU KNOW ALGEBRA PLZ PLZ PLZ PLZZZZZZZZZZZZ I WILL GIVE BRAINLY AND ALL MY POINTS PLZZ HELP ME
I AM A YOU TUBER I WILL CHEAT IF I HAVE TO

Answers

Answer:

Algebra (from Arabic: الجبر‎ al-jabr, meaning "reunion of broken parts"[1] and "bonesetting"[2]) is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols;[3] it is a unifying thread of almost all of mathematics.[4] It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra; the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is generally considered to be essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics, studied primarily by professional mathematicians.

Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values.[5] For example, in {\displaystyle x+2=5}x+2=5 the letter {\displaystyle x}x is an unknown, but applying additive inverses can reveal its value: {\displaystyle x=3}x=3. In E = mc2, the letters {\displaystyle E}E and {\displaystyle m}m are variables, and the letter {\displaystyle c}c is a constant, the speed of light in a vacuum. Algebra gives methods for writing formulas and solving equations that are much clearer and easier than the older method of writing everything out in words.

The word algebra is also used in certain specialized ways. A special kind of mathematical object in abstract algebra is called an "algebra", and the word is used, for example, in the phrases linear algebra and algebraic topology.

A mathematician who does research in algebra is called an algebraist.

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