Multiply the polynomials (x + 3) (2x – 4). What is the product in the form ax² + bx + c?

Answers

Answer 1

answer:

2x²+2x-12

explanation:

(x + 3) (2x – 4)                           [ open the bracket ]

x(2x) -4(x) +3(2x)+ 3(-4)             [ multiplication ]

2x²-4x+6x-12                             [ simplify ]

2x²+2x-12                                  [ final answer ]

Answer 2

Answer:

We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.

We will get the polynomial: p(x) = 2 * x² + 2 * x - 12

Step-by-step explanation:

We just want to multiply (x + 3) and (2*x - 4).

So we start by writing:

(x+3) * (2*x-4)

Now we just expand this:

(x+3) * (2*x-4) = 2 *  x² + x * (-4) + 3 * (2 * x) + 3 * (-4)

Now we need to simplify the above expression:

2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12

This is the polynomial we wanted to get:

p (x) = 2 * x² + 2 * x - 12

If you want to learn more, you can read:

brainly.com/question/11536910


Related Questions

A class must have fewer than 18 students due to the number of desks that can be placed in the classroom. Write an inequality that represents this situation. Use the variable n to represent the number of students.

In order for a class to participate in the school's trivia contest, the class must have at least 15 students. Write an inequality that represents this situation.

Answers

Answer:

n < 18n ≥ 15

Step-by-step explanation:

The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.

  the number of students is fewer than 18

translates to ...

  n < 18

__

The wording "at least" translates to the math symbol "greater than or equal to."

  the number of students is at least 15

translates to ...

  n ≥ 15

The area of a rectangle is 576 cm² and it's breadth is one-fourth of its length.Find the length and breadth of the rectangle.​

Answers

Answer:

Hope this helps you.......

Step-by-step explanation:

[tex] \boxed{\blue{\frak{DisneyPrincess29}}}[/tex]

Answer:

breadth =  12 cm and Length is 48 cm

Explanation:

Let the length be x,

then the breadth will be [tex]\frac{1}{4}[/tex]x

Formula for area of rectangle:

length * breadth

using the formula:

x * [tex]\frac{1}{4} x[/tex] = 576

x² = 4(576)

x² = 2304

x = √2304

x = 48

Therefore the Length is 48 cm

Then the breadth  [tex]\frac{1}{4}[/tex] * 48 = 12 cm

Helen is a sales person. She sold a cell phone for $93 and earned 20% commission. How much commission did Helen earn? help quick

Answers

Answer:

18.60

Step-by-step explanation:

Let's first know what commission meaning:

Commission: Commission is the amount of money an employee earns when they sell something

Now Let's Start Solving:

[tex]Formula:\frac{Part}{Whole} =\frac{percent}{100}[/tex]

[tex]\frac{x}{93} =\frac{20percent}{100}[/tex]

[tex]\frac{1860}{100} =\frac{100x}{100}[/tex]

[tex]\frac{1860}{100}[/tex]

[tex]x= 18.60[/tex]

Hence, Helen earn $18.60 in Commission.

[RevyBreeze]

Answer:

Helen earned 18.60 commission, thank me later! :)

what is the relationship between slope and unit rate?​

Answers

Answer:

For an equation such as y = 2.6x, the slope is the unit rate, which is the coefficient of x. For a table, the change in y divided by the change in x is the unit rate, or slope.

if you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make ..... grams of ....% sugar syrup.

Answers

Answer:

40 grams of 40% sugar syrup

Step-by-step explanation:

It is 40g because you are adding 10g of sugar to 30g of syrup

It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.

Make equation to find percent

16/40=x/100

x=40

If you add 10 grams of sugar into 30 grams of 20% sugar syrup, you will make 40 grams of 40% sugar syrup.

Suppose the mean GMAT score is 550 with a standard deviation of 100. Hayden takes the GMAT and is told his z-score is 2.5. Interpret the meaning of a z-score in this context. And what's Hayden's Score?

Answers

z-scores are used to describe normal distributions

The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

How to interpret the z-scores

The z-score is given as:

z = 2.5

The mean and the standard deviation are:

Mean = 550

Standard deviation = 100

A z-score is the number of standard deviations above or below the mean.

Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

Read more about z scores at:

https://brainly.com/question/25638875

The sum of several consecutive natural numbers is 2012. How many numbers were in that sum​

Answers

Answer:

8

Step-by-step explanation:

first number = a, there are n numbers

so last number is a + n - 1

sum = [a + (a + n - 1)} * n/2 = (2a + n - 1) / 2 = 2012

n * (2a + n - 1) = 2012 * 2 = 4024

4024 is even, so n must be even, divisible by 2, 4, 8

4024 = 2 * 2012 = 4 * 1006 = 8 * 503

If n = 2, 2a + n - 1 = 2012, 2a + 2 - 1 = 2012, 2a = 2011, impossible.

If n = 4, 2a + n - 1 = 1006, 2a + 4 - 1 = 2a + 3 = 1006, 2a = 1003, impossible

If n = 8, 2a + n - 1 = 503, 2a + 8 - 1 = 2a + 7 = 503, a = 248

so n = 8, a = 248

HELP IM DESPRITE
A furniture designer has less than 175 minutes to spend painting her designs each day. Today, she has spent 45.5 minutes painting a table. Now she will paint x shelves, each of which takes 15.5 minutes.

What is the maximum number of shelves the designer can paint?

Enter your answer in the box.

Answers

Answer:

8

Step-by-step explanation:

45.5 + 15.5x < 175

15.5x < 129.5

x < 8.35

Answer: 8

Amelia had 26 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?

A. 26 + S + 10
B. 26 - 10 - S
C. 26 + S - 10
D. 26 + 10 - S

Answers

Answer:

26+10-S

Step-by-step explanation:

Answer:

26+10-S or 36-S

Step-by-step explanation:

She has 26 shells and collected 10 more

26+10

And the she gave her sister S shells

26+10-S or 36-S

lots of points for correct answer!

Gina plotted the points (-3, 4), (4, 4), (-3, -2), and (4, -2) on the coordinate plane.





Determine the height of the quadrilateral. -

Determine the length of the quadrilateral. -

What shape do the points form?

What is the area of the quadrilateral?

What is the perimeter of the quadrilateral?

Answers

Answer:

height: 6 unitslength: 7 unitsshape: rectanglearea 42 square unitsperimeter: 26 units

Step-by-step explanation:

Height

The height of it is the distance between the bottom and the top. You can count grid squares (6), or you can subtract y-coordinates:

  4 -(-2) = 4 +2 = 6

The height of the figure is 6 units.

__

Length

The length is the difference between the left side and the right side. Once again, you can count grid squares (7), or you can subtract x-coordinates:

  4 -(-3) = 4 +3 = 7

The length of the figure is 7 units.

__

Shape

The two upper points are on the same horizontal line, as are the two lower points. The two left-side points are on the same vertical line, as are the two right-side points. Vertical and horizontal lines are at right angles, so all of the corner angles are 90°. The quadrilateral is a rectangle.

__

Area

The area of the quadrilateral is the product of its length and height:

  A = LH

  A = (7 units)(6 units) = 42 units²

The area is 42 square units.

__

Perimeter

The perimeter is the sum of the lengths of the four sides. There are to sides that are 6 units long, and 2 sides that are 7 units long.

  P = 2(6 +7) = 26

The perimeter is 26 units.

Match together cards with equivalent ratios: 3:4, 10:5, 50:100, 2:1, 5:2, 15:20, 15:6, 1;2,

Answers

Answer:

Step-by-step explanation:

50:100 and 1:2

15:20 and 3:4

15:16 and 5:2

10:5 and 2:1

Hope this helps!

-7(5k - 4)
Simplify expression

Answers

Answer:

−35k+28

Step-by-step explanation:

the answer is -35k+28

i hope its right

The graph of a function f is shown above. What is the value of [tex]\int\limits^7_0 {f(x)} \, dx[/tex]

Answers

Answer:  6

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

Explanation:

Split the graph into separate regions (see the diagram below)

The red trapezoid has the parallel vertical sides of b1 = 1 and b2 = 2. The height of the trapezoid is h = 2

The area of the red trapezoid is

A = h*(b1+b2)/2 = 2*(1+2)/2 = 3

--------------

The blue rectangle has a horizontal side of 2 and vertical side of 2. Its area is 2*2 = 4 square units.

--------------

The pink triangle has a base of 1 and height of 2

area = base*height/2 = 1*2/2 = 1 square unit

--------------

The green triangle has an area of base*height/2 = 2*2/2 = 2 square units

--------------

For any region above the x axis, it gets assigned a positive area. Anything below the x axis gets a negative area to counterbalance the positive areas.

The regions above the x axis add to 3+4+1 = 8 square units. Then we subtract off the area of the green triangle to get 8-2 = 6 square units.

Therefore,  [tex]\displaystyle \int_{0}^{7}f(x)dx = 6[/tex]

Help please 10 points

Answers

Answer:

1, -2, -4, -6, -6.9, -6.99, -6.999

please help with step by step. ​

Answers

Answer:

60 ÷ 15

= 4 mins

the constant of proportionality for the number of 4 minutes to read 1 page.

la edad de selly. e es mayor que 15​

Answers

Expiation:


Answer: 16?

can someone please help with my work!

Answers

Answer:

900 km i think

Step-by-step explanation:

umm so first 8*10=80%, then 4500-80%

what is 90 divided by 19 +607 divided by 1

Answers

Answer:

611.73

Step-by-step explanation:

90 divided by 19 is 4.73 then add 607 which adds up to 611.73 then divide by 1 which is 611.73

Several students named their favorite flavor gum. Write the ratio that compares the
number who chose fruit to the total number of students. Write in all 3 ways.

Answers

Answer:

12. 5

11.

10

10

15. 7

14. 11

2

=

16

16

18. 3

+

11

17

3

4

co

loo

8

Step-by-step explanation:

12. 5

=.

10

10

15. 7

14. 11


Can you please help

Answers

90 is the answer please calculate well


Jane has $1 and 6 quarters in her pile. Jeremiah has 10 quarters in his pile. If Jane gives
Jeremiah $1 and Jeremiah gives Jane 4 quarters, will the two piles still be equal in value? Explain

Answers

Yes, they will still be equal. 6 quarters is accumulated into $1.50 or with the addition of $1, 10 quarters. Therefore if Jane gives Jeremiah $1 or 4 quarters the values will stay equal.
Yes, they will still be equal because $1 is equal to 4 quarters so therefore they are just exchanging the same amount of money in different forms.

Which of the following is not a right triangle?

a
30, 40, 50
b
9, 40, 41
c
24, 32, 40
d
40, 76, 86

Answers

Answer:

D) 40, 76, 86

Step-by-step explanation:

..........

What is the prob of an event that must happen.

Answers

Answer:

%100 Elon Musk going to Mars

Step-by-step explanation:

yes yes yes

i don't know if this is the answer you want

please mark brainliest i need 3 more

Add the decimals.
3.0001 +72
=

Answers

Answer:

75.0001

Step-by-step explanation:

Used a calculator

You must follow the order of operations to find the value of a numerical expression. Why?​

Answers

Answer:

its so good out here whwere you frm

simplify the radical below
3√x^18

Answers

The radical is 3sqrt(x^18)

18/2=9

so, the radical is

3x^9


3√x^18 simplified would be x^6, hope it helps sorry if it doesn’t tho, have a great day!

standard from 4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)

Answers

[tex]{{\boxed{{\tt{\color{blue}{✎A\color{red}{n\color{green}{s\color{lime}{w\color{skyblue}{e\color{cyan}{r\color{blue}{\color{purple}{}}}}}}}}}}}}}[/tex]

4x100+7x10+6x1+6x(1/10)+3x(1/100)+7x(1/1000)

[tex]x(4x {}^{99} + 7x {}^{9} + \frac{6637}{1000} [/tex]

hellllllllllllllllllllllllllllllpppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

That equals to 5x5x5 which 5x5x5  = 125

But the correct answer on that quiz is 1st I think

Step-by-step explanation:

Sorry if im wrong

What is the area of a circle with a diameter of 36 millimeters

Answers

Answer:A≈1017.88

Step-by-step explanation:

Answer:

A = 1017.88

Step-by-step explanation:

srry if its wrong ;-;

Four standard, six-sided dice are to be rolled. If the product of their values turns out to be an even number, what is the probability their sum is odd? Express your answer as a common fraction.

Answers

Answer:

Your answer is 8/15.....

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