Answers
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
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
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
Will give out Brainliest! Can somebody please explain how to find the linear regression equation given a data table step-by-step?
Answers
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
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 is the surface area and volume of this shape?
Answers
Answer:
894.14 mm^2.
Step-by-step explanation:
i did this.
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
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.
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
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
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)
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
what does the E stand for in PEMDAS
Answers
Answer:
P: parenthesis
E: Exponents
M: multiplication
D: division
A: Addition
S: substraction
Step-by-step explanation:
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
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
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}
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.
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
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
work out 6/5 of 200 and show working out
Answers
Answer:
240.
Step-by-step explanation:
200 * 6/5
= 1200/5
= 240
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
Solve for x
1) 3x - 2 = 10
Answers
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
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
which of the following is a root of the polynomial function?
Answers
Answer:
a
Step-by-step explanation:
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
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.
Is a D a failing grade?
Answers
Answer:
Yes anything under a C
Step-by-step explanation:
Factorise 3[tex]x^{2}[/tex]+5x+2