Answer:
The prime factorization of 51 is the product of prime numbers which results in 51. Thus, the prime factorization of 51 is 51 = 3 × 17.
4x²-8xy
factorise completely
Answer:
4x (x - 2y)
Step-by-step explanation:
Pull out what factors they both have and put it outside the parentheses, put the rest inside after dividing.
The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).
INTRODUCTION~Algebraic Forms and their ElementsAlgebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.
Elements of Algebra:1. Variables, Constants and Coefficients
Pay attention to the algebraic form 3x + 2y + 3
From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.
And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.
2. Terms and Factors
» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.
Example: 2x, 2a², -4xy, . . .
» Term two is an algebraic form that is connected by an operation of sum or difference.
Example: 2x + 3, a² - 4, 3x² - 4x, . . .
» Similar terms in algebraic form are terms that have the same variable and the same power.
Example:
2a is similar to 3a, 4a, etc.
» Factors are part of the algebraic form that is restricted to multiplication operations.
Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.
Calculation Operations on Algebraic Form1. Addition and subtraction of algebraic forms can only be done on similar terms.
2. Multiplication and division of algebraic forms.
Multiply two terms by constants or variables.
Example:
3 (4y + 5)
= (3 × 4y) + (3 × 5)
= 12y + 15
Division of two terms with a variable or constant, for example:
(8y+4)/2 = 8y/2 + 4/2 = 4y + 2
DISCUSSION4x² - 8xy
= 4xx - 8xy
= 4xx + 2 × 4xy
= 4x (x - 2y)
Conclusion:So, The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).
Learn More:(mampir ke indo:v)
Algebraic subtraction material: https://brainly.co.id/task/35216852Algebraic arithmetic operations: https://brainly.co.id/task/26250852The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780_____________
Answer Details:Class: 7 Middle SchoolSubject: MathMaterial: Chapter 2.1 -Operations of Algebraic FormsCategorization Code: 7.2.2.1Keywords: Factor algebra1/2-1/3x=-4 solve the equation
Answer: x=-21/2
Step-by-step explanation:
1
2
−
1
⋅
1
3
Answer:
x=27/2
Step-by-step explanation:
1/2-1/3x=-4
subtract 1/2 from both sides
1/2+-1/3x -1/2=-4 -1/2
Group like terms
-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2
Combine the fractions
-1/3 ⋅ x+0=-4 -1/2
Convert the integer into a fraction
-1/3 ⋅ x=-8/2 -1/2
Combine.
-1/3 ⋅ x= -9/2
Isolate the x:
-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1
1x=-9/2 ⋅ 3/-1
x= -9 ⋅ -3/2
x=27/2 as your answer
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Chemistry Atoms
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Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
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y = -52 +6
| 9= 3z - 2
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Answer:
I don't know (-_-) HAHAHAHA
Step-by-step explanation:
Solve (u+2)^2+6=69 , where u is a real number.
Answer:
5.94 and -9.94
Explanation:
Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94
if f(x)=2x^2-1, then f(-3)=
Answer:
f(-3) =17
Step-by-step explanation:
f(x)=2x^2-1
Let x = -3
f(-3)=2(-3)^2-1
= 2(9) -1
= 18-1
17
solve for x -22=-7+3/5x
Hey ya'll I need help on this question
Answer:
285.2
Step-by-step explanation:
2852.1/10 = 285.21
but rounded to the nearest tenth is 285.2
Answer:
285.2
Step-by-step explanation:
After we divide 2852.1 by 10 we get 285.21. Rounding it to the nearest tenth it would be 285.2.
If triangle ABC is equal to triangle DFE, find the value of x, y, and z.
Answer:
x=10
z=2
y=5
Step-by-step explanation:
since they are equal, set the sides up as equal to one another and use pemdas to solve.
EX; x+15=2x+5
-x -x
15=x+5
-5 -5
10=x
3(2/3p+3-1/3p-5) What is the simplified version of this equation.
Answer: p+1
Step-by-step explanation:
3(2/3p+3-1/3p)
=3(1/3p+3)
=p+1
What is the range of the function y = x^2?
Ox>0
O all real numbers
Oy>0
Answer:
The range is y≥0
Step-by-step explanation:
The shape of this graph is a parabola
You may see this by using the Desmos calculator and typing y=x^2 if you would like to visualize.
(a) The function y = x^2 simply takes whatever number you feed it (x) and outputs x squared.
For example
y = (2)^2=4
y = (3)^2 = 9
(b) To graph x^2 simply make a table of values and plug in 0 -> however high you would like to go ( usually to 5 or so is fine but you could go to infinity).
Example
y = x^2
Y | X
________
2 | 4
3 | 9
4 | 16
In this case the function's range is y≥0 because all y values will be greater than or equal to 0.
If you are wanting to learn how to specifically graph this you can look up (Graphing y = x²) if my quick graphing explanation back at mark (b) does not help.
34.2 is what percent of 288? Round to the nearest hundredth.
Answer:
11.87%
Step-by-step explanation:
34.2/288=0.11875
Which is about 0.1187
So 11.87%
Answer:
11.87
Step-by-step explanation:
mental math and just big brain
Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?
Answer:
12.76
Step-by-step explanation:
because 510.44 x 2.5%= 510.44 x 0.025= 12.76
hope this helps you guys have a great day to all of you guys
The finance charge would be the amount of $6.64 on Lauren's February statement.
What is the finance charge?
The finance charge is the multiplication of the average daily balance and the monthly periodic rate.
The finance charge = average daily balance × monthly periodic rate
The bill shows an average daily balance of $510.44, and the monthly periodic rate is 1.3%.
The finance charge = $510.44 x 1.3%.
The finance charge = $6.635
Round the nearest to the hundredth,
The finance charge = $6.64
Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.
Learn more about the finance charges here:
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is this correct ? if not what’s the correct answer?
Answer:
yes
Step-by-step explanation:
Plzzzzz help meeeee plzzzz I really d answa
Answer:
c. is correct answer I think
8 x 1/2=4 simplified
Answer:
Step-by-step explanation:
8➗2=4
since 1/2 is divinding
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
7x – 5 – 3x = 7 – 6x solve for x
Step-by-step explanation:
7x - 3x=5 + 7
we will plus --
10x =12
x=12÷10 or 10 /12
x=12.2
someone please help me! the question is 18.
Determine whether each equation represents a proportional relationship.
Y=2.5x
y= x - 4
Answer:
y=2.5x - Proportional
y= x - 4 - Not Proportional
Step-by-step explanation:
A linear function that is proportional is in the form y =kx (k is the constant of variation) and passes the origin.
The first equation given is in this form (2.5 is the constant) and it passes through the origin. It is proportional.
However, the second one is not proportional is it does not pass the orgin and it's not in y=kx form.
Hope this helps.
Estimate the area please. will give brainliest.
Answer:63
Step-by-step explanation:
a coin is tossed 4 times. what is the probability of getting heads each time
answer: 1/16
If you flip a coin 4 times, the probability of getting all heads is 1/16.
There are visitors at home. Michelle made 10 and 3/5 cups of tea while Leslie made 9 and 2/5 cups of tea. How many cups of tea did the two sisters make for the visitors? *
Answer:
20 cups
Step-by-step explanation:
Michelle: 10 3/5 cups made
Leslie: 9 2/5 cups made
Steps:
First, let's turn each number into decimal form.
10 3/5 = 10.6
9 2/5 = 9.4
Then, add
9.4 + 10.6 = 20
Conclusion
They made 20 cups in all
Note:
Hope this helped :)
Have a nice day
Reply with any questions or concerns please :D
check attachment for question
Answer:
[tex]\displaystyle 3x^2 + x[/tex]
Explanation:
All you are doing is combining like-terms:
[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]
I am joyous to assist you at any time.
Bret buys a dining table that costs $150 before tax. The sales tax is 8%. How much sales tax did he pay?
Answer:
$12
Step-by-step explanation:
to find sales tax you multiply the cost by the percentage
you do 150 * 8%
thats also 150 * 0.08
150 * 0.08 is 12
so you pay $12 in tax
Bret paid $12 as sales tax.
What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.
We have Bret buys a dining table that costs $150 before tax. The sales tax is 8%.
Assume that he paid $[x] as sales tax. Then, we can write -
[x] = 8% of 150
[x] = (8/100) x 150
[x] = 12
Therefore, Bret paid $12 as sales tax.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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HELLLLLLLLLLLLLPPPPPPPPPP
The first option. 100% correct.
[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]
25)
Find the measure of each lettered angle.
The diagram is not drawn to scale.
Answer:
The Diagram is not showing
Step-by-step explanation:
9. 25 students each paid $6.50 to go to the museum. How much did they all pay together?
Answer:
They paid 247 dollar.
Step-by-step explanation:
They paid 247 dollar
Answer:
Step-by-step explanation:
1 student paid 6.50
25 students paid x
1/25 = 6.50 / x Cross multiply
x = 25 * 6.50
x = 162.50
The total for all 25 came to 162.50 dollars.
Cherie has 4 gift cards. Each gift card is worth $10. If she spends $23, how much will she have left?
Answer: She'll have $17 left.
Step-by-step explanation:
4 * 10 = 40
40 - 17 = 23
Hope this helps!
Function project a day of fun
i mean i dont know what you want me to help but good luck
find the value of 777^2 - 223^2
Answer:
549440
Step-by-step explanation:
777^2 = 603729
223^2 = 54289
603729 - 54289 = 549440