Below is an Algebraic Proof that shows how the expression x(1+y) + y(2+x) is equivalent to x + 2xy + 2y. Some of the steps are labeled with the action or property. Match the following properties in the order they are used in the proof.
Answers
Answer:
Step-by-step explanation:
Steps Property
x(1 + y) + y(2 + x) Given
x + xy + 2y + xy Distributive property
x + xy + xy + 2y Commutative property of addition
[a + b = b + a]
x + (xy + xy) + 2y Associative property of addition
[(a + b) + c = a + (b + c)]
x + 2xy + 2y Combine like terms
Related Questions
Find the slope of the line through the
given points: (2,6) & (5, 6)
Answers
Answer:
Zero Slope
Step-by-step explanation:
rise over run or y2 - y1 / x2 - x1
6-6/5-2 = 0/3
create a model or equation that will represent to the amount of relief each family will receive bearing in mind that the number of families will vary.
Answers
Missing Information
Suppose the officials conducted a survey for 4 days to determine the actual number of families residing in the barangay and the secretary constructed a tableto keep track of the data.
Day 0:
Number of families: 850
Amount of relief each family will receive: 520
Answer:
f(x) = 442000/x
Step-by-step explanation:
Given
The data in the above table
Required
Determine a model or equation
First, we need to determine the amount of relief for all families.
Using data in day 0.
Total Amount = 850 * 520
Total Amount = 442000
Next, we determine the function of equation.
Let the number of families he represented by x
The function or equation is gotten by dividing the total amount by the number of families.
Hence:
f(x) = Total Amount ÷ x
Substitute values for total amount and x
f(x) = 442000/x
Hence, the model that satisfies the given information is:
f(x) = 442000/x
Vrite and simplify an expression to find he total cost of x pencils , 1 poster board , and (x + 1) notebooks.
Answers
Answer:
The expression to find the total cost of x pencils, 1 poster board, and (x + 1) notebooks will be:
[tex]C=xp+b+nx+n[/tex]
Step-by-step explanation:
Consider '[tex]x[/tex]' be the number of pencils which were bought
Consider '[tex]p[/tex]' denotes the cost of [tex]1[/tex] pencil
Consider '[tex]b[/tex]' denotes the cost of [tex]1[/tex] poster board
Consider '[tex]x+1[/tex]' be the number of notbooks which were bought
Consider '[tex]n[/tex]' denotes the cost of [tex]1[/tex] notebook
As we have to find the total cost. Let 'C' denotes the total cost
so the expression becomes
[tex]C=xp+b+\left(x+1\right)n[/tex]
simplifying
[tex]C=xp+b+nx+n[/tex]
Therefore, the expression to find the total cost of x pencils, 1 poster board, and (x + 1) notebooks will be:
[tex]C=xp+b+nx+n[/tex]
you have your tires rotated every 6 months and you replace the windshield wiper blades every eight months. How many months will hou next rotate the tires and replace the windshield wipers on the same day?
Answers
Answer:
28 : 40
Step-by-step explanation:
6 8
12 16
18 24
24 32
28 40
Both of these months will be on March
May I have brainliest please? :)
what is g(h(10))? on edge2020
Answers
Answer:
2√2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = √(x - 4)
h(x) = 2x - 8
Step 2: Evaluate
h(10)
Substitute: h(10) = 2(10) - 8Multiply: h(10) = 20 - 8Subtract: h(10) = 12g(h(10))
Substitute: g(h(10)) = √(12 - 4)Subtract: g(h(10)) = √8Simplify: g(h(10)) = 2√2Answer: A
Step-by-step explanation:
Selena is 6 years younger than Paul. in 15 years, Paul will be 4 times the age that Selena is now. find their present ages
Answers
guuys heeelppp asaaaaaap
Answers
Answer:
-3/5
Step-by-step explanation:
see the details in the attachment.
IIf two ounces of cheese has 200 calories, how many calories are in 5 ounces of cheese?
Answers
Answer:
500 calories
Step-by-step explanation:
200 / 2 = 100
1 ounce = 100 calories
5 * 100 = calories.
OR
200 * 5 = 1000
1000 / 2 = 500
Therefore, 5 ounces of cheese = 500 calories.
A triangle has dimensions 3, 4, and 5. A similar triangle is drawn with a scale
factor of 2. What are the dimensions of the new triangle?
A. 3, 4, and 5
B, 6, 8, and 10
C. 1.5, 2, and 2,5
D. 30, 40, and 50
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Determine whether the system has no one, or infinitely many solutions.
y = 2x + 6
y = -x - 3
Answers
Answer:
One solution
Step-by-step explanation:
I think its 1 solution but I could be wrong, I looked it up and it said one solution.
Answer:
one
Step-by-step explanation:
I am using substitution method:
2x+6=-x-3
subtract 6 from both sides
2x=-x-9
add x to both sides
3x=-9
divide by 3
x=-3
you can also graph this to see. I personally like using desmos.
Find f(9) if f(x) = 2x+6
Answers
Answer:
24
Step-by-step explanation:
To do this all you need to do is replace x with 9
F(9) = 2(9) + 6
2 x 9 = 18
18 + 6 = 24
The answer is 24
Hope this helps
please help me bro I’ll give u wtv
Answers
Answer:
slope(m)=-3
Step-by-step explanation:
What is the value of x when solving the equation Negative 2 x + (negative 8) = 2 x + 8 using algebra tiles?
Answers
Answer:
x= -4
Step-by-step explanation:
-2x-8=2x+8 or, -2x-8-2x-8=0 or,-4x-16=0 or,-4(x+4)=0 or,x+4=0 or,x= -4Answer:
your answer -4
Step-by-step explanation:
What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12 The solution is .
Answers
Answer:
(-2,3)
Step-by-step explanation:
Answer:
(-2,3)
Step-by-step explanation:
got none
1
What is the inverse operation that would need to be done in order to isolate the variable?
-15 = -0.2x *
(1 Point)
Answers
Answer: Division
Step-by-step explanation: Because since 0.2x is multiplication (0.2 * x [or 1x]), then it would be division, and obviously do that on both sides
Find x in the following solution: x+x+10+2x-6=180
Answers
Answer:
X = 44
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x=44
Step-by-step explanation:
First you add the all the x's.
4x+10-6=180
Then you subtract 6 from 10
4x+4=180
Next, you add subtract 4 from both sides.
4x=176
Divide by 4 and you get 44.
176/4
x=44
5. $120 for 15 books A. $8−−−−1 book B. 1 book−−−−$8 C. $15−−−−1 book D. 1 book−−−−$15
Answers
Answer:
it should be A and if it is not a then b but I think A
Answer:
B. 1 book-––$8 that should be the answer
Two pounds of grapes cost $6.
Complete the table showing the price of different amounts of grapes at this rate.
What number belongs in the leftmost empty cell?
What number belongs in the rightmost cell?
Answers
Answer:
leftmost empty cell: ⅓
rightmost empty cell: 3
Step-by-step explanation:
✔️If 2 pounds grapes cost $6, then x pounds of grapes cost $1.
Thus;
2 : 6 = x : 1
2/6 = x/1
Multiply both sides by
²/6 × 1 = x/1 × 1
²/6 = x
¹/3 = x
x = ⅓
✔️If 2 pounds grapes cost $6, then 1 pound of grapes cost $x.
Thus;
2 : 6 = 1 : x
²/6 = ¹/x
Cross multiply
2x = 6
Divide both sides by 2
2x/2 = ⁶/2
x = 3
Simplify this expression.
1 + 4.25n + 32p – 3 + (–2p) + 54n
Answers
Answer:
58.25 n +30p-3
step explanation:
Answer:
30p - 2 + 58.25n
Step-by-step explanation:
54n + 4.25n = 58.25n
1 - 3 = -2
(since the 2 is in parenthasis you will be subtracting instead of adding)
32p - 2p = 30p
hope this helps :)
Linda borrows $124 from her brother. He tells her to forget paying back $65 of the loan. How much does Linda owe her brother?
Answers
Answer:
$59
Step-by-step explanation:
124 - 65 = 59
PLEASE HELP!!
Does this circle have a radius or a diameter?
Answers
Answer:
Just remember to divide the diameter by two to get the radius.
Step-by-step explanation:
So, no?
ThAnks for the help pls
Answers
I think the answer is D
The larger the two numbers is one more than four times the small number. if the sum of the numbers is 106,find the two numbers
Answers
Answer:
Smaller no. = 21
Larger no. = 85
Step-by-step explanation:
Smaller no. = y
Larger no. = 4y + 1
y + (4y + 1) = 106
y + 4y + 1 = 106
5y + 1 = 106
5y = 106 - 1
5y = 105
y = 105/5
y = 21
Smaller no. = y = 21
Larger no. = 4y + 1 = 4×21 + 1 = 84 + 1 = 85
Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Forearm (Input) Foot(Output)
9 inches 9 inches
8 inches 9 inches
8 inches 8 inches
5 inches 4 inches
10 inches 9 inches
Answers
Answer:
this is the answer
Step-by-step explanation:
A E
The verbal statement that would describe it is
An input of 9will result to a 9 and an 10and an input of 4will result to an 9and 5
!!HELP!! Which of the following pairs of numbers is matched with its correct greatest common factor? Select two that apply.
The greatest common factor of 62 and 74 is 6.
The greatest common factor of 45 and 70 is 5.
The greatest common factor of 38 and 39 is 3.
The greatest common factor of 60 and 84 is 12.
Answers
Answer:
D
Step-by-step explanation:
Answer:
The greatest common factor of 60 and 84 is 12
Step-by-step explanation:
60=2×2×3×584= 2×2×3×7so above explanation the greatest common factor is 12
Write this essay for me
ftgyhujiokpjhgfrd6tyujnhbgvfcd bdyt wehdfvdfo dfvkdsfdofne gergohewrierofnerg
syke its a giveaway for 50 points
Answers
Answer:
thanks for the free points! ✌
Step-by-step explanation:
Answer:
Thank you for the giveaway, I guess?
When preparing to cook, Joanna can chop 7.5 pounds of carrots in 16 minutes. How many ounces can she chop per second?
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8 ounces per second I’m pretty sure
Use the figure and given angle to find the measure of each angle below (tell me how many degrees it is).
Answers
9514 1404 393
Answer:
∠6 = ∠4 = 84°
∠5 = ∠3 = 96°
Step-by-step explanation:
Angle 4 and the marked angle (84°) are corresponding angles, so are congruent. Angles 4 and 6 are vertical angles, so are congruent.
∠6 = ∠4 = 84°
Angle 3 and the marked angle are a linear pair, so angle 3 is the supplement of 84°:
∠3 = 180° -84° = 96°
Angle 3 and angle 5 are alternate interior angles, so are congruent.
∠5 = ∠3 = 96°
PLZ HELP ME WITH THIS!!! I WILL MARK BRAINLIEST!!!
Answers
Answer:
-4
Step-by-step explanation:
Hope this helps! Consider Brainiest!
Answer:
-8
Step-by-step explanation:
Select the statement that correctly describes a Type I error.
Answers
Answer:
can you add the answers?
Step-by-step explanation: