Mathematics High School

Find each product.

1. 2x(x^2-6x+3)

2. 2a^2(5b^2 + 3ab + 6a + 1)

Find Each Product.1. 2x(x^2-6x+3)2. 2a^2(5b^2 + 3ab + 6a + 1)

Answers

Answer 1

Given:

The expressions are:

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

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

To find:

The product of each expression.

Solution:

According to the distributive property of multiplication over addition, we get

[tex]a(b+c)=ab+ac[/tex]

The first expression is:

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

Using distributive property of multiplication over addition, we get

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

[tex]2x(x^2-6x+3)=2x^3-12x^2+6x[/tex]

Therefore, the product of [tex]2x(x^2-6x+3)[/tex] is [tex]2x^3-12x^2+6x[/tex].

The second expression is:

[tex]2a^2(5b^2+3ab+6a+1)[/tex]

Using distributive property of multiplication over addition, we get

[tex]2a^2(5b^2+3ab+6a+1)=(2a^2)(5b^2)+(2a^2)(3ab)+(2a^2)(6a)+(2a^2)(1)[/tex]

[tex]2a^2(5b^2+3ab+6a+1)=10a^2b^2+6a^3b+12a^3+2a^2[/tex]

Therefore, the product of [tex]2a^2(5b^2+3ab+6a+1)[/tex] is [tex]10a^2b^2+6a^3b+12a^3+2a^2[/tex].

Related Questions

ron’s bagel shops has sold 6 sesame bagels and 24 other bagels. considering this, how many of the next 90 bagels sold should you expect to be sesame bagels?

Answers

Answer:

Answer is 18

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

40. A playground is constructed with the. dimensions and shape shown below.

What is the area of the playground?

​

Answers

Answer:

Hello! answer: 154

Step-by-step explanation:

In the picture shown I found the area of each shape now I just have to add it up for the total so... 64 + 24 + 54 + 12 = 154 therefore the area is 154 hope that helps

PLs, help me with this geometry question.

Answers

Answer:

x = 49

Step-by-step explanation:

The central angle AOB is equal to the measure of the arc that subtends it, so

∠ AOB = 82°

OA = OB ( both radii of the circle ), then Δ AOB is isosceles and the 2 base angles are congruent, then

x = [tex]\frac{180-82}{2}[/tex] = [tex]\frac{98}{2}[/tex] = 49

Select the correct answer.
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns?
A.
the librarian employing another person
B.
the chance to earn by working in a library
C.
the chance to earn by mowing lawns

Answers

Answer:

B.

Step-by-step explanation:

The opportunity cost means what Henry will be missing out on by not working at the library. He loses the chance to earn by working in a library.

Answer:

B.  The chance to earn by working in a library

Step-by-step explanation:

This is a guess

What is the surface area and volume of this shape?

Answers

Answer:

894.14 mm^2.

Step-by-step explanation:

i did this.

I think it’s c I hope that helps

someone pls help lol

Answers

[tex] \sqrt{x { }^{2} -6x + 9} [/tex]

Given x>3 i.e. 4

√4^2 -6*4+ 9

√16 -24 + 9

√25-24

√1

Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;

Answers

Answer:

Here is the missing part.

Cups and liters:-1 litre = 2.1 cups

Cups and pints:- 1 pint = 2 cups

Pints and liters:-1 litre = 2.1 pints

Step-by-step explanation:

Step 1:

7 cups + 3 liters = 9.8 pints

[tex]7c+3l=9.8p[/tex]

5 liters - 9 cups = 6 pints

[tex]5l+9c=6p[/tex]

Cups and Liters

[tex]7c+3l=9.8p[/tex]

[tex]p= 7c+3l/9.8[/tex] (put in equation 2)

[tex]5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c[/tex]

1 Liter = 2.1 Cups.

Step 2:

Cups and Pints

[tex]7c+3l=9.8p\\3l=9.8p-7c[/tex]

[tex]l=9.8p-7c/3[/tex](put in equation 2)

[tex]5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c[/tex]

1 Pint = 2 Cups.

Step 3:

Pints and Liters

[tex]7c=9.8p-3l[/tex]

[tex]c=9.8p-3l/7[/tex](put in equation 2)

[tex]5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p[/tex]

​1 Liter = 2.1 Pints.

work out 6/5 of 200 and show working out

Answers

Answer:

240.

Step-by-step explanation:

200 * 6/5

= 1200/5

= 240

Need help ASAP DUE IN 20 minutes please and show work ?!!!

Answers

Answer:

V≈134.0

Step-by-step explanation:

divide 8 by 2 to get the radius .

V=πr2h /3

V=πr2 h /3=π·42·8 /3≈ 134.0

Un poste de luz tiene un cable en la punta con el que forma un ángulo de 60°. Indique la longitud del poste sabiendo que el cable mide 7 metros desde la punta del poste hasta el suelo.

Answers

Answer:

4.04 metros

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de

tan θ = Opuesto / Adyacente

θ = 60 °

Frente = 7 metros

Adyacente =? = x

Por eso

bronceado 60 = 7 / x

Multiplicar cruzada

= tan 60 × x = 7

x = 7 / tan 60

x = 4.0414518843 metros

Aproximadamente = 4.04 metros

Which of the following is not a type of correlation associated with scatterplots?
A. no correlation
B. positive correlation
C. negative correlation
D. indefinite correlation
Please select the best answer from the choices provided

Answers

The type of correlation not associated with scatterplots is an indefinite correlation

What is correlation?

Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Correlation can only be between -1 and 1 but not outside these values.

The types of correlation that we have to include:
no correlationpositive correlationnegative correlation

Hence the type of correlation not associated with scatterplots is an indefinite correlation

Learn more on correlation here: https://brainly.com/question/26172866

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

36 km

24 km

52.5 km

58 km

Answers

Answer:

x = 36 km

Step-by-step explanation:

The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²

c = hypotenuse/longest leg = 45 km

a = x

b = 27

Thus:

45² = x² + 27²

2,025 = x² + 729

2,025 - 729 = x²

1,296 = x²

√1,296 = x

36 = x

x = 36 km

Mr.Caldwell has 10 full size pizzas and half of another one.He wants to share the pizza with 8 of students. Mr.Caldwell doesn't want any pizza.How much pizza did will each student get?

Answers

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

A marble jar contains 1 blue, 2 green, 3 red, and 5 yellow marbles. If a single marble is drawn at random from the jar, what is the probability that it is blue or red?

Answers

Answer:

4/11

Step-by-step explanation:

1 blue, 2 green, 3 red, and 5 yellow marbles.= 11 marbles

P( blue or red) = number of blue or red / total

                        = 4/11

PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000

Step-by-step explanation:

9.22   = 9.2200

9.202 = 9.2020

9.8      = 9.8000

9.2211  = 9.2211

Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.

Arranging : 9.2200, 9.2020, 9.2211, 9.800

So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]

Arranging : 9.2020 , 9.2200, 9.2211, 9.8000

Now compare  the numbers in tenths , hundredths and thousandth place :

[220, 202, 800, 221 ]

Arranging : 9.202, 9.220, 9.221, 9.800

Now compare all the four numbers and arrange :

[ 2200, 2020 , 8000, 2211 ]

Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000

write the set of natural numbers that is less than or equal to 6 in both the notations​

Answers

Answer:

Step-by-step explanation:

Builder :

X = { x ∈ N : x ≤ 6}

Roster :

X = { 1, 2 , 3 , 4 , 5 , 6}

Is a D a failing grade?

Answers

Answer:

Yes anything under a C

Step-by-step explanation:

Solve for x

1) 3x - 2 = 10

Answers

Answer: x equals 4 your welcome

Answer:

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x=4

Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 years A. 1:3 B. 2:5 C. 3:10 D. 4:9

Answers

I think it is A- 1:3 :)

Will give out Brainliest! Can somebody please explain how to find the linear regression equation given a data table step-by-step?

Answers

REFERS TO THE ATTACHMENT:

Please help I’ll give brainliest!!

Answers

(-3)^2 = -3 x -3 = 9

(-2)^2 = -2 x -2 = 4

9 + 4 = 13

The answer is 13

Answer:

(-3)^2 + (-2)^2

(-3*-3) +(-2*-2)

9 + 4

13

No links<3
Fill in the missing value!

Answers

Answer:

2.6 and 3

Step-by-step explanation:

The values of the years are being multiplied by 1.3. So when you multiply 2 by 1.3 you would get 2.6. The years are going up by 1 so the year after 2 would be 3.

Factorise 3[tex]x^{2}[/tex]+5x+2

Answers

(x+1)x(3x+2) is the answer

Can someone please help asap thank you

Answers

Answer:

1. -10 > x

2. No, because the more you raise the ticket price, the less people will attend.

3. C) -x - 6 > -3.5

4. you have to do yourself

Step-by-step explanation:

1. if you solve for 5 - 3x > 35 you get x < -30, which means that any answer will be less than -10

Evaluate the following expression when r= 3 and t = 3.
(2 + r) - 11

Answers

Answer:

-6

Step-by-step explanation:

substitute

(2 + 3) -11

5 - 11

-6

Answer:

The answer is -6

Step-by-step explanation:

First, plug in the numbers into the original equation - (2+(3))-11

Then, simplify.  (5)-11

Simplify one more time.  -6

(I dont see anywhere to use the (t) in your equation)

The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.

Answers

Answer: [tex]-6,13[/tex]

Step-by-step explanation:

Given

The sum of the two numbers is 20

and the difference of the two is -6

Suppose, the numbers are x and y

[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]

[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]

[tex]\therefore y=13[/tex]

Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]

A car uses 6 litres of petrol when travelling 66 Km. Calculate the number of litres of petrol used when travelling 165 Km?

Answers

Answer:

15L

Step-by-step explanation:

divide the number of km's you will travel(165) by the number you are given originally(66)- 165/66 is 2.5

then multiply 2.5 by the amount  of litres it takes for the original 66 km (6L)- 2.5*6 is 15L

which of the following is a root of the polynomial function?​

Answers

Answer:

a

Step-by-step explanation:

factorize 6×square + 5× - 4 =o​

Answers

Answer:

6×square + 5× - 4 =o

6×square+(8-3)×-4=0

6×square+8×-3×-4=0

2×(3×+4)-1(3×+4)=0

(3×+4)(2×-1)=0

either,

3x+4=0

3×=-4

×= -4/3

or,

2x-1=0

×=1/2,,

what does the E stand for in PEMDAS
​

Answers

The E in Pemdas stands for exponents.

Answer:

P: parenthesis

E: Exponents

M: multiplication

D: division

A: Addition

S: substraction

Step-by-step explanation:

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