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

jfdxaMXDCJINCIZSCKZDXVSJOISACXKISZPIAnhCPKISZJCPKNSPKCN KPZSA

Answers

Answer:

Jassjsjdhjajjjjajajajajjjajajajajajqjqjjqjsjsjajajajajjajajaja

Ndoekekekenekekekekek

Which of the following is most likely the next step in the series ?​

Answers

Answer:

A

Step-by-step explanation:

The colour keeps switching from red to blue to red, and red was last in the series. Therefore, a blue pattern should be next in the series.

Each time, a new hand is added to the pattern. Therefore, we add a hand.

The answer is definitely A.

Help scroll through the pics

Answers

Answer:

there is no pics any problem?

EASY MATH QUESTION Urgent pls​

Answers

Answer:

I don't know that is hard

Step-by-step explanation:

You said this was an easy math question.

Answer:

I think it's b

Step-by-step explanation:

ah=b1+b2/2

h=ax(b1+b2)/2

Divide the complex numbers and express answer in the form (a+bi)

3-4i/8+2i

Answers

Answer:

[tex]\frac{4}{17}-\frac{19}{34}i[/tex]

Step-by-step explanation:

1. Approach

To divide complex numbers, first one must set the problem up as a fraction. The one will multiply the fraction by the complex conjugate. A complex conjugate is a complex number with the imaginary part multiplied by negative one. Since a number over itself equals one, this will ensure that the expression remains true. When one multiplies by the complex conjugate, the difference of squares property complex into play, therefore the denominator simplifies down to a real number (remember one can simplify the powers of (i)). Now all one has to do is divide each element in the complex number in the numerator by the real number in the denominator. If it does not divide evenly, one can just simply the fraction.

2. Solving

Set up as a fraction

[tex]\frac{3-4i}{8+2i}[/tex]

Multiply by the complex conjugate

[tex]\frac{3-4i}{8+2i}*\frac{8-2i}{8-2i}[/tex]

Simplify

[tex]\frac{(3-4i)(8-2i)}{(8+2i)(8-2i)}[/tex]

[tex]\frac{24-6i-32i+8i^{2}}{64-4i^{2}}[/tex]

[tex]\frac{24-6i-32i-8}{64-4(-1)}[/tex]

[tex]\frac{16-38i}{64+4}[/tex]

[tex]\frac{16-38i}{68}[/tex]

[tex]\frac{8-19i}{34}[/tex]

A rectangle has area of 150 in2. The ratio of the length to the width is 3:2.
Find the length and width of the rectangle. (This diagram is not to scale),


The diagram is just an rectangle, there are no measurements of what the base or width are

Answers

I’m doing this to but I have no clue how to do this

Answer:

length = 15 in

width = 10 in

Step-by-step explanation:

let '3x' = length

let '2x' = width

A = l x w

150 = 3x(2x)

150 = 6x²

x² = 150/6

x² = 25

x = [tex]\sqrt{25}[/tex]

x = 5

Length = 3(5) = 15 in

Width = 2(5) = 10 in

( NEEDED ASAP! )
Capon City has 5 more than 3 times as many residents as Harbor City.

Create an algebraic expression to represent the number of residents in Capon City. Use r in your expression where r represents the number of residents in Harbor City

Answers

Answer:

y=3r+5

Step-by-step explanation:

Break up the sentance.

Capon city has 5 more than 3 times as many residents as harbor city.

The sentance above can be written like this: y=5+3x. Since they want r to represent the number of people in Harbor city, use r in place of x.

Capon city=y

has=equal sign

5 more=+5

3 times as many=3r

y=3r+5

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

For ABC A= (-3,3) B= (0.2) and C= (-3,1)

For DFE D= (0,6) F= (2,6) and E= (2,3)

Step-by-step explanation:

I believe tha name of a sequence of transformation will be translation and the Reflection

Hope this Helped


WHICH SERIES OF TRANSFORMATIONS CAN BE USED TO SHOW THAT ABC~DEF?

Answers

Answer:

A) is correct

Step-by-step explanation:

Write a second inequality with the same meaning -12<= a

Answers

Answer:

a[tex]\geq[/tex]-12 or -48[tex]\leq[/tex]4a

Step-by-step explanation:

Find the value needed for the “?” to make the equation true.

d^?/d^11 = d^7

Answer: ? =__

Answers

Answer:

? = 18

Step-by-step explanation:

Answer:

? = 18

Step-by-step explanation:

d^?/d^11 = d^7

d^? = d^11*d^7

d^? = d^(11+7)

d^? = d^18

? = 18

Me pueden ayudar con la F porfa :)​

Answers

Answer: -66

Step-by-step explanation:

[tex](2)-(-3)(-20)-(-8)[/tex]

multiply first {*}

[tex](2)-(60)-(-8)[/tex]

then open parenthesis {()}

[tex]2-60+8[/tex]

then add/subtract {+/-}

[tex]2-60+8=\\2-68=\\-66[/tex]

Sorry that it isn't in Spanish ;-;

Answer:

f. = -50

Step:

(2) - (-3) (-20) - (-8)

2-(-3) (-20)= -58

-58+8

= -50

The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. She took a random sample of the price of 10 computers, with the following results. $3,250, $1,127, $2,995, $3,250, $3,445, $3,449, $1,482, $6,120, $3,009, $4,000. What is the 10th percentile?

Answers

Answer:

$1,482 is the 10th percentile.

Step-by-step explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

In this question:

10 computers, the 10th percentile is the value that is larger than 10% of the prices.

The prices, sorted in an increasing way, are:

$1,127, $1,482, ...

Computers at a price of $1,482 have larger prices than 10% of the population, so $1,482 is the 10th percentile.

Which graph represents the solution to the compound inequality?

–6 < 3x – 12 ≤ 9

A number line with an open circle at 2 with a bold line pointing to the left. A point at 7 with a bold line pointing to the right.
A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.
A number line with an open circle at negative 6 with a bold line pointing to the left. A point at 9 with a bold line pointing to the right.
A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at 9.

Answers

Answer:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Step-by-step explanation:

B) The second one. A number line with an open circle at 2 with a bold line pointing to the right ending at the point at 7.

Answer:

B

Step-by-step explanation:

edge 2022

What are the prime numbers of 30

Answers

Answer:

2,3,5

Step-by-step explanation:

Answer:

2, 3 and 5 are the prime numbers

Step-by-step:

What is the sum of the polynomials? (6x+7x+x^2)+(2x^2-3x)

Answers

Answer:

3x^2 + 10x

Step-by-step explanation:

Simplify -12+8+5+(-9)​

Answers

FIRST Remove parentheses.
−12+8+5-9

Simplify -12+8 to -4

-4 + 5 — 9

Simplify
−4 + 5 −4+5 to 1
1 — 9

Simplify

-8 is your answer

Answer:

The answers is -8

Step-by-step explanation:

Remove parentheses.

-12 + 8 + 5 - 9

Add -12 and 8

-4 + 5 -9

Add -4 and 5

1 - 9

Subtract 9 from 1

-8

The answers is -8

Hope this helps

−4x+3y=2
3x−9y=3

yes or no


Answers

Answer:

NO

step by step

the answer is no

1. A square is altered so that one dimension is
increased by 7 meters and the other dimension
is increased by 4 meters. If the area of the
resulting rectangle is 108 square meters, find the
area of the original square.

Answers

The dimension of a square is altered so that one dimension Is increased by 7 feet While the other is decreased by 2 feet The area of the resulting rectangleIs 90 feet with a 2 up top what is the original squareArea of the square I will tell you the answer right now it is going to beA= 64 feet with the two up top

harriet is 2 years less than a thirnd of her brothers ace. Harriet is 3 years ols. How old is her brother?​ please help right now

Answers

Answer:

her brother is 15 years old

Step-by-step explanation:

let 'b' = her brother's age

Harriet is 3 years old but Harriet is also '1/3b - 2'

3 = 1/3b - 2

5 = 1/3b

b = 5(3) or 15

cuál es el número entero de 2° bajo Cero​

Answers

Answer:

 -2 °C.

Step-by-step explanation:

Usa el signo + para representar temperaturas arriba de cero y el signo – para representar temperaturas bajo cero.

A tape manufacturer has created a new formula that is supposed to be more adhesive on all types of surfaces. Managers wish to conduct an experiment on aluminum and wood to see how well the tape sticks to them. To determine this, they take a random sample of tape with the new formula and use four different weights taped to random places on each of the two surfaces. They will measure how long the tape holds the weights on each surface and compare the times. Which of the following best describes this experiment?a. This is an observational study.b. This is an experiment with blocking.c. The type of surface is a confounding variable.d. This is a double-blind experiment.e. This is a randomized experiment resulting in the placebo effect.

Answers

Answer:

This is an experiment with blocking ( B )

Step-by-step explanation:

The best way to describe this experiment is an experiment with blocking this is because the Type of surface where the tape is been tested can be considered a  blocking variable while the weights can be considered  as treatments

A blocking variable is a variable used in experiment which is not of primary interest to the experiment  observer ( I.e. The tape is supposed to hold on all types of surfaces and not just on Aluminum and wood surface )

What is the volume?
7 mm
7 mm
1 mm

Answers

Answer:

(7)(7)(1)=49 mm^3

Step-by-step explanation:

Answer:

49mm³

Step-by-step explanation:

[tex]v = 7mm \times 7mm \times 1mm = 49m {m}^{3} [/tex]

solve the formula for q

p = 2n + 8q

a. q = p - 2n
b. q = 2n - p / 8
c. q = 2p - n
d. q = 2n - p
e. q = p -2n / 8

please & thank you!!!​

Answers

Answer:

I think it is B because it makes sense and I have done algebra before.

I have to turn this in today!!! Please help me ASAP!

Answers

Answer:

D. 9/5

Step-by-step explanation:

27:15= 9:5

18:10= 9:5

Answer:

D) [tex]\frac{9}{5}[/tex]

Step-by-step explanation:

The scale factor between the shapes is 1.8 or 9/5 as a fraction.

Hope it helps!

It takes Steven 12.25 minutes to run 1.4 miles. At this rate. how long will it take him to run 2.6 miles?

Answers

It’s = 22.75
What I did was
12.25 divided by 1.4 =8.75
Then
8.75*2.6=22.75

The speed is the distance covered by an object at a particular time. The time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.

What is speed?

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance / Time

Given that it takes Steven 12.25 minutes to run 1.4 miles. Therefore, the rate or speed at which Steven runs is,

Speed = Distance / Time

Speed of Steve = 1.4 miles / 12.25 minutes

Now, if at the same rate Steven runs, then the time it will take for Steven to run a distance of 2.6 miles is,

Speed = Distance / Time

Time = Distance / Speed

Time = 2.6 miles / (1.4 miles / 12.25 minutes)

Time = (2.6 miles × 12.25 minutes)/1.4 miles

Time = 22.75 minutes

Hence, the time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.

Learn more about Speed here:

https://brainly.com/question/15100898

#SPJ2

PLEASE HELP I WILL GIVE BRAINLEST.
A rectangle with an area of 58 ft² is dilated by a factor of 8.



What is the area of the dilated rectangle?

Enter your answer in the box. Do not leave your answer as a fraction.


ft²

Answers

Answer:

The correct answer is 40

Step-by-step explanation:

I took the quiz

Encuentre el resultado de la suma de las fracciones, simplifique la fraccion. 6/7+2/8=​

Answers

Answer:31/28

Step-by-step explanation:

Answer:

1 3/28

Step-by-step explanation:

Please help answer !:)

( WILL GIVE BRAINLST)

Answers

i dont know that so u answer it

Two less than three times a number

Answers

Answer:

3x-2

Step-by-step explanation:

3 times a number is 3x, if we use x as the number

Two less than (3x) is 3x - 2

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