Find the product of (x2 + 2x −3)(4x2 − 5x + 6). (2 points) a 4x4 + 13x3 − 16x2 + 27x − 18 b 4x4 + 3x3 − 28x2 + 27x − 18 c 4x4 + 3x3 − 16x2 + 3x − 18 d 4x4 + 3x3 − 16x2 + 27x − 18

Answers

Answer 1

Answer:

D

Step-by-step explanation:

We want to find:

[tex](x^2+2x-3)(4x^2-5x+6)[/tex]

Distribute:

[tex]=(x^2+2x-3)(4x^2)+(x^2+2x-3)(-5x)+(x^2+2x-3)(6)[/tex]

Distribute:

[tex]=(4x^4+8x^3-12x^2)+(-5x^3-10x^2+15x)+(6x^2+12x-18)[/tex]

Rearrange:

[tex]=(4x^4)+(8x^3-5x^3)+(-12x^2-10x^2+6x^2)+(15x+12x)+(-18)[/tex]

Combine like terms:

[tex]=4x^4+3x^3-16x^2+27x-18[/tex]

The answer is D.


Related Questions

Follow the steps to provide to answer the question

1. Find the greatest common factor of 8 and 12. 2. Use the Distributive Property and the greatest common factor to factor the expression &r-12 3.Write the equivalent expression.​

Answers

Answer:

Step-by-step explanation:

1. Greatest Common Factor is the largest number that can be multiplied to get the product common to both product.

Factors of 8                               Factors of 12

1      8                                               1     12

2     4                                               2     6

                                                       3     4

The GCF = 4

2. I need the expression rewritten in order to help you.

PLEASE HELP MUST BE AT LEAST 5 SENTENCES PLEASE HELP DUE IN 5 MINS

Answers

Answer:

I think that Thomas Clarksons motive for publishing this drawing of a slave ship was to inform people what it was like. He wanted to show how crowded it was. Thomas might have wanted to show how people were treated.

( i dunno what else to put but you could talk about how he felt about the slave trade)

write a equation in the form y= mx or y= mx + b to represent the relationship between the independent and dependent qualities?

Answers

Answer:

y = 10x

Step-by-step explanation:

Independent variable (x) = time (minutes)

Dependent variable (y) = distance (feet)

The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,

m = slope = y/x

Using any point on the line, say (5, 50),

m = 50/5

m = 10

To write the equation, substitute m = 10 into y = mx

Thus:

y = 10x

Which do the following options represent the measure of arc RA

A.38.6
B.65.6
C.71.4
D.77.2

Answers

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

Give the sine, cosine, and tangent ratios for
both angle A and Angle B as a reduced fraction.

Answers

Answer:

sin A= 43.60 or 43 3/5 cos A= 43.60 or 43 3/5 tan A= 43 3/5

sin B= 46. 40 or 46 2/5 cos B= 46. 40 or 46 2/5 tanB= 46.40 or 46 2/5

Step-by-step explanation:

Hope this Helped

PLS I WILL GIVE BRAINLIEST AND IT IS WORTH DOUBLE POINTS!!!
Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer

Answers

Answer:

he has 0.56 cents

Step-by-step explanation:

Answer:

I think the answer is 30.24

take off that is because 35 - 20% equals$28 plus 8% tax equals 30.24 so that's how I got that

Evaluate the expression.


2.2

(

2
)
÷
(

1
4
)

5
−2.2⋅(−2)÷(−
4
1

)⋅5

Answers

um is this all one equation?

like -2.2×(-2)÷(-14)×5-2.2×(-2)÷(-41)×5?

. Resolver la siguiente inecuación, utilizar la notación de intervalos y representar el conjunto
solución en la recta real:

3x-1 + x+7 < 2x+5 + 7
5 2 3 ​

Answers

Answer:

bat di mo masagotan bobo kaba ikaw somagot nyan kasi dapat nagaaral kanangmabuti hayop ka wag kang mag patolong

(+4) + (+9) + (+8) =

(+4) + ( -6) + (+8) =

5 ) ( -2) + (+5) + (+2) =

(+7) + (+2) + ( 0) =

Answers

Answer:

Question 1: 21

Question 2: 6

Question 3: -3

Question 4: 9

Evaluate Square root b2 - 4ac when a = 1, b = -6, and c = 9.

Answers

Answer:

[tex]x=3[/tex]

2x + y = 2
x - y = 1

Answers

Answer:

mariana bedoya sanchez

What is the area of the circle below?
27 m
424 m?
848 m?
O 572 3 m
0 729.1 m

Answers

Answer:

Can you show us the circle so we can solve the problem?

Step-by-step explanation:

7. What is the largest of three consecutive integers whose sum is 39.
A 13
B. 14
C. 17
D. 19

Answers

The answer would be A not 100% sure
Answer: A 13
Expiation: 13 goes into 39 and non others

A set of nine books is arranged in orderly fashion on a Shelf. Each book has 100 pages that is sheets of paper with printing on both sides making 900 pages in all. A work starting on the first page of the book eats through to the last page of the last book how many pages does the worm eat​

Answers

Answer:

1( first page of volume 1) + 900 (900 book of 100 pages) + 1 (last page of the book)

fill in the blanks #7 and #8 plzzzzz

Answers

Answer:

7.Always 8.Never

Step-by-step explanation:

7. A linear pair are 2 angles that forms 180 degree angles. Supplementary Angles are angles that form 180 degrees. 180=180 so it is always

8. Vertical angles share a common vertex but like adjacent angles but unlike vertical angles they dont overlap so Vertical angles are non adjacent angles.Also adjacent angles aren't always equal either. So never

How can square roots be written so that the radicand has no square factors?

Answers

Answer:

You can do this by dividing the radicand by the square number , and multiplying the radical by the root of that number.

e.g.

[tex]\sqrt{96} \\= \sqrt{16 \times 6}\\= 4\sqrt{6}[/tex]

Find the distance between the two points (-5, -2) and T(-3, 4).

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, -2) → x₁ = -5, y₁ = -2

Point (-3, 4) → x₂ = -3, y₂ = 4

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-3+5)^2+(4+2)^2}[/tex][√Radical] (Parenthesis) Add:                                                                        [tex]\displaystyle d = \sqrt{(2)^2+(6)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{4+36}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify:                                                                                         [tex]\displaystyle d = 2\sqrt{10}[/tex]

A table is 2 feet wide. It is 6 times as long as it is wide.

Answers

Answer:

The table is 12 feet in length

Step-by-step explanation:

2 * 6 = 12

12 feet in length

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle is given as:

Perimeter = 2 (length + width)

The area of the table is 24 square feet.

The perimeter of the table is 28 feet.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The perimeter of a rectangle is given as:

Perimeter = 2 (length + width)

We have,

Table:

Width = 2 feet

Length = 6 x 2 feet = 12 feet

We will assume that the table is a rectangle.

The area of the table:

= Length x width

= 12 x 2

= 24 square feet.

The perimeter of the table:

= 2 (length + width)

= 2 (12 + 2)

= 2 x 14

= 28 feet

Thus,

The area of the table is 24 square feet.

The perimeter of the table is 28 feet.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Which graph shows u + v for the given vectors u and v?

Answers

Answer:

The answer is A

Step-by-step explanation:

When you move v's tail to u's head, you see that the vectors align up.

The graph shows (u + v) for the given vectors u and v will be Graph A.

What is vector ?

A vector is an object that has both a magnitude and a direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

We have,

Four graphs and we have to tell which is the correct graph for (u + v).

So,

To add two vectors, add the corresponding components.

i.e. The sum of u and v  vector = ( u₁ + v₁, u₂ + v₂)

i.e.

Let u = (u₁, u₂)  and

v = (v₁, v₂)

Now,

(u + v) = ( u₁ + v₁, u₂ + v₂)

So,

From Graph A,

We have,

u = (1, 4) and v = (2, -2)

i.e.

u₁ = 1,

u₂ = 4,

v₁ = 2,

v₂ = -2

So,

Using the addition method of vector,

i.e.

(u + v) = ( u₁ + v₁, u₂ + v₂)

Substituting values,

(u + v) = [( 1 + 2), (4 + (-2))]

We get,

(u + v) = (3, 2)

So,

The graph A represents the correct points of (u +v).

Hence, we can say that the graph shows (u + v) for the given vectors u and v will be Graph A.

To know more about vectors click here

https://brainly.com/question/24256726

#SPJ2

Simplify the expression. 4x - 2(x - 6) - X​

Answers

Answer:

Step-by-step explanation:

4x-2(x-6)-x=4x-2x-x+12

                 =x+12

Answer:

− X − 1.6 x + 12

Q-U-E-S-T-I-O-N: Whats 1000000000000000000000000 multiplyed by 20000000
Its a weird word :/

Answers

Answer:

2e+31

Step-by-step explanation:

Is this correct? Geometry Math Question

Answers

QW= 140°

hope that helped^^

If you answer these questions i will give you free point's. (Answer all of them pls)


1. I am 50% of a quarter of 32.
2. I am two thirds of 60.
3. I am exactly half-way between 25% of 80 cm and 40% of 120cm.
4. I am one-quarter of 50% of 88kg.
5. I am 3% of half of 600 pounds.
6. I am exactly halfway between one fifth of 25cm and 2% of 300 cm.
7. I am greater that 0.6 kg, less than one-third of 6 kg, and equal to four times 10% of 3kg.

Answers

Answer:

1. 4

2.40

3. 28

4.11

5.12

6. 1

7. 1200

Step-by-step explanation:

I used • instead of x to show you multiply.

1. 1/4 (one quarter) of 32 = 8.
50% of 8 = 4

2. 2/3• 60 = 120/3 = 40

3. 25% = 0.25, 40% = 0.40
So 0.25 • 80= 20
0.40 • 120 = 48
Then subtract: 48-20 = 28. Half of 28 is 14. Add that 14 to 20, and your answer is 34. It will probably be helpful to either write that on a number line, or picture it on a number line.

4. 50% of 88kg is half of that, which is 44. One quarter = 1/4, so 44/4 = 11

5. Half of 600 pounds is 300 pounds. 3% = 3/100 = 0.03. Multiply that by 300 to get your answer. 300 • 0.03 = 9

6. 1/5 of 25cm = 25/5= 5
2% of 300 = 300• 0.02= 6
What is exactly halfway between 5 and 6? 5.5

7. Start this one with the last statement. 10% (0.10) of 3kg = 3•0.10= 0.3. Four times that = 4•0.3= 1.2

Then check: is that greater than 0.6? Yes.

One third of 6kg = 6/3= 2

Is 1.2 less than 2? Yes.

234235342421323254123+323546534311234

Answers

Answer:

I gotchu.

Step-by-step explanation:

234235342421323254123+323546534311234 = 2.34235666E20

Have a good day! :)

Please help it’s urgent

Answers

Answer:

1750 sq m

Step-by-step explanation:

100 x 85 = 8500 and 90 x 75 = 6750, so take away 6750 from 8500, 8500 - 6750 = 1750 sq m

1/4 and 1/2 common denominators​

Answers

Answer:

4

Step-by-step explanation:

Answer:

The common denominator of 1/4 and 1/2 is 4.

1/2 = 2/4

Brian ran 5/6 mile in the morning and 2/3 mile in the afternoon. Did Brian run farther in the morning or in the afternoon?

Answers

Answer:

In the morning

Step-by-step explanation:

Because in the afternoon, he ran 2/3 mile and that is equal to 4/6 which is less than 5/6.

Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

Be sure to show your answer and work using a coordinate plane.

Answers

Answer:

see the attached and refer to

https://brainly.com/question/21466495

Show your work on paper. (Include properties) 80 points!!!

Answers

First you have to Distribute -2/3 through the parentheses. Multiply both sides of the equation by 12. Collect like terms. Cancel equal terms on both sides of the equation. The statement is false for any value of x. Hope this helps :)

F(x) = 3 + 4x G(x) = 6x + 7

I) find fg(x)

Answers

Answer:

See the attached document

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