Jason uses the polynomial identity (x−y)^2=x^2−2xy+y^2 to show that 6² = 36.
Answers
plug in 8 into x and 2 into y
(8-2)^2 = 8^2 - 2(8)(2)+ 2^2
6^2 = 64 - 32 + 4
36 = 68 - 32
36 = 36 True
hope this helps
Related Questions
If it takes 6 hr. for a 2,400 mi. flight from Philadelphia to Los Angeles, what is the average speed of the plane?
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rotate 270 clockwise around the origin (8,0)(11,-5)(14,-2)
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So for the points (8, 0), (11, -5), and (14, -2), the new points when rotated 270 degrees clockwise around the origin are:
Answer: (0, 8), (5, 11), (2, 14)
Which values are solutions to the inequality –3x – 4 < 2? Check all of the boxes that apply.
-4
-2
0
3
Answers
it is c and d (edge)
To solve the inequality –3x – 4 < 2, subtract 4 from both sides and then divide by -3, we get x > -2. The values that satisfy this inequality are -4, 0, and 3.
Explanation:To solve the inequality –3x – 4 < 2, we need to isolate the variable x. First, we subtract 4 from both sides of the inequality: –3x < 6. Next, we divide both sides of the inequality by –3, but since we are dividing by a negative number, we need to flip the inequality sign: x > -2. Therefore, the values that are solutions to the inequality are greater than -2. Among the options provided, the values that are greater than -2 are -4, 0, and 3. Therefore, you should check the boxes next to -4, 0, and 3.
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After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
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The expression 3.14 x 10^3 is scientific notation for which of the following values?
A. 314
B. 3,140
C. 31,400
D. 314,000
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The expression 3.14 x 10³ is scientific notation for B. 3,140.
What is meant by Scientific Notation?Scientific notation is a way of writing a large number or small number with many digits in a simpler form using the power of 10.
For example, 30,000 can be written as 3 × 10⁴.
So the given number is 3.14 x 10³.
The power of 10 has the number 3.
Hence the decimal point has to moved 3 decimal places to the right.
When it is moved to 1 place, it becomes 31.4.
When it is moved to 2 decimal places, it becomes 314.
When it is moved to 3 decimal places, it becomes 3140.
Hence the given expression is equivalent to 3140.
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Consuela wrote the expression 2 × (31 + 47). She states that the expression is a product and that the expression (31 + 47) is a factor. Marcus states that the expression (31 + 47) is a sum of two terms. Who is correct? Explain.
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A product is anything multiplied together, and what you multiply to get that product is a factor of the product. with 2 x (31 + 47), you're multiplying two factors, 2 and (31 + 47), to get the product 2 x (31 + 47).
A sum is anything added together, so 31 + 47 is a sum.
Answer: They are both correct, A sum is anything added together, so 31 + 47 is a sum.
the line plot below shows how many points fewer trevor scored in 20 games. In how many games did trevor score 18 points fewer?
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which fraction is greater 17/30 or 27/35
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To determine which fraction is greater, convert each to its decimal form. The comparison shows 27/35, which is approximately 0.7714, is greater than 17/30, which is approximately 0.5667.
Explanation:When comparing the fractions 17/30 and 27/35, it's helpful to find a common denominator or convert each to its decimal equivalent. To compare without finding a common denominator, you can convert each fraction to a decimal:
17/30 is approximately 0.5667,
27/35 is approximately 0.7714.
By comparing the decimal values, it's clear that 27/35 is greater than 17/30. Therefore, 27/35 is the greater fraction.
Austin is going to the movie theater. It is 3 3/5 miles from his house. Austin takes his scooter, but it breaks down 2/3 of the way to the theater. How far is Austin from his house?
Answers
Final answer:
Austin's scooter breaks down 2/3 of the way to the movie theater, which is 3 3/5 miles away from his house. After covering 2/3 of the journey, he is therefore 1 1/5 miles from his house.
Explanation:
Austin is going to the movie theater which is 3 3/5 miles from his house. When his scooter breaks down 2/3 of the way there, we need to calculate how far he is from his house. To find this, we multiply the total distance to the movie theater by the fraction 2/3:
3 3/5 miles = 18/5 miles (since 3 3/5 = 15/5 + 3/5 = 18/5)(18/5) * (2/3) = 36/15 = 12/5 milesThis means Austin covered 12/5 miles when his scooter broke down, leaving him with the remainder of the journey to complete:
Total distance - distance covered = 18/5 miles - 12/5 miles = 6/5 milesTherefore, Austin is 6/5 miles or 1 1/5 miles from his house.Need to show work for problem x+9.72=21
Answers
-9.72 -9.72
x=11.28
Hope this helps
x=21-9.72
2. simplify 21-9.72=11.28
x=11.28
hope this helps
Adam had a 5/7 liter of water he used water to fill a few glasses of water he used the water to fill a few glasses completely the capacity of each glass was 2/7 liter how many glasses of water did Adam fill ❓
Answers
Adam can fill 2 glasses of water completely with the 5/7 liter of water he has, as each glass holds 2/7 liter.
Explanation:The student asked how many glasses of water Adam could fill if he had 5/7 liter of water and each glass has a capacity of 2/7 liter.
To find out the number of glasses Adam can fill, we need to divide the total amount of water he has by the amount that each glass can hold. The calculation is as follows:
Total water (5/7 L) ÷ Capacity of one glass (2/7 L) = Number of glasses
5/7 L ÷ 2/7 L = 5/2 or 2.5. This means Adam can completely fill 2 glasses with a little water leftover, as we cannot have a half glass in a practical scenario.
Adam filled 2.5 glasses of water.
Explanation:To find the number of glasses Adam filled, we need to divide the total amount of water he had (5/7 liter) by the capacity of each glass (2/7 liter). So, we divide 5/7 by 2/7 to get the answer. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Therefore, (5/7) ÷ (2/7) = (5/7) x (7/2) = 35/14 = 2.5 glasses. So, Adam filled 2.5 glasses of water.
The amount of money that is left in a medical savings account is expressed by the equation y = -24x+ 379, where x represents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?
Answers
67=-24x+379
x=?
If you need more help let me know :)
y = amount left so y = 67
rewrite the equation as:
67 = -24x+379
subtract 379 from both sides
-312 = -24x
divide both sides by -24
x = -312 / -24
x = 13
the answer is 13 weeks
sela's piano lesson starts at 4:45 pm the lesson is 30 minutes long when does her lesson ends
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Answer:
Sela's piano class will end at 5 : 15 pm
Step-by-step explanation:
Sela's piano lesson starts at 4 : 45 pm.
If we have to calculate the time when her lesson ends we will add the duration of the class in minutes.
After 30 minutes time will be
4 : 45 + 00 : 30 = 4 : 75
Now we know 00 : 75 or 75 minutes means 1 hour 15 minutes
therefore, 4 : 75 will become 5 : 15 pm
Sela's piano class will start at 4 : 45 pm and end at 5 : 15 pm
what is the biggest number
7.1
7.1
7.11
7.101
Answers
7.100
7.110
7.101
This just depends if you are turning fractions and percents into decimals.
Write a 3-digit number using the digits 5,9, and 2. Then write your number using words.
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An invoice dated March 28 with terms 1/10, E.O.M. results in the end of the credit period on:
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Answer:
April 10
Step-by-step explanation:
EOM (End Of Month) to receive a discount attached to the invoice when paying before the payment is due.
In this case, 1/10 means that there will be a 1% discount if the invoice is paid within 10 days of receipt.
But since the terms of credit are EOM, the 10 days are counted from the end of March, that brings us to April 10.
Therefore, an invoice dated March 28 with terms 1/10, E.O.M. results at the end of the credit period on April 10.
Hope this helps!
solve using the standard algorithm 649 x 53
Answers
To solve 649 x 53, use the standard algorithm by multiplying each digit and adding the results.
Explanation:To solve the multiplication problem 649 x 53 using the standard algorithm, follow these steps:
Multiply 3 (the ones digit of 53) by each digit of 649, starting from the right:3 x 9 = 273 x 4 = 123 x 6 = 18Write down each product with a placeholder 0 to the right:2712 018 0 0Add up the numbers:27+ 12 0+ 18 0 0---------= 34 3 9Therefore, 649 x 53 = 34, 3 9.
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a person who is at least 65 years old is often considered a senior citizen. Write an inequality that represents this situation
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x greater than/equal to 65
Drag and drop a phrase to make the statement true.
Triangles ABC and DEF are..
A. Similar triangles.
B. Not similar triangles.
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The triangles ABC and DEF are similar
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔDEF
Now , the measure of ∠ABC = 35°
So , the measure of ∠ACB = 55° ( given ∠BAC = 90° )
And , the measure of ∠EFD = 55°
So , the measure of ∠DEF = 35°
And , the corresponding sides of similar triangles are in the same ratio
Hence , they are similar triangles
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The Andersons can set up 6 tables in 1 hour. How many tables can they set up in 5 hours?
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Use the Change of Base Formula to solve: 2^2x = 90. Round to the nearest tenth.
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4x＝90
x＝22.5
A house painting company charges $376 plus $12 per hour. Another company $280 plus $15 per hour. A. how long is a job for which both companies will charge the same amount? B.What will the cost be?
Answers
for company b, ( $280 + $15 ) it would take 9 hours because 280 + 15 = 295 + 15 =
310 + 15 = 325 + 15 = 340 + 15 = 355 + 15 = 370 + 15 = 385 + 15 = 400 (280 + (15 x 8))
376 x (12 x 2)
376 x 24 = 400
280 x (15 x 8)
280 x 120 = 400
1) a = 2 hrs
b = 8 hrs
2) $400
Both companies will charge the same amount in 32 hours
From the information given, the equation to solve the question will be:
376 + (12 × h) = 280 + 15(h)
376 + 12h = 280 + 15h
Collect like terms
15h - 12h = 376 - 280
3h = 96
Divide both side by 3.
3h/3 = 96/3
h = 32
The amount charged will be:
376 + 12h = 376+12(32)
= 376 + 384
= 760
The amount charged will be $760
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Aa a member of a music club you can order CDs for $14.99 each the music Club also charges 4.99 for each shipment the expression 14.99n + 4.99 represents the cost of n CDs find total cost for ordering 3 CDs
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n =3
equation 14.99n +4.99 =
14.99*3 + 4.99 = 44.97 + 4.99 = $49.96
In a science experiment, two tomato seeds were planted and watered. After six weeks, the plant that was fertilized was 26 centimeters tall. The plant that was not fertilized was only 74% as tall. What was the height of the shorter plant?
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Answer:
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Please help!! I really don’t know what this is
Answers
Add 7 on both sides.
Divide by -1/2 or multiply by -2.
Answer should be 8
hi I really need help with a and b. thank you
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[tex] \frac{27}{45} [/tex] = [tex] \frac{x}{5} [/tex]
Next, you would cross multiply.
135 = 45x
Now, the last step would be to isolate the x. To do this, you would divide both sides by 45.
3 = x
[tex] \frac{27}{45} [/tex] = [tex] \frac{3}{5} [/tex]
b) To solve this equation, you would need to fill in the blank with a substitute. Let x represent the unknown number.
[tex] \frac{2}{6} [/tex] = [tex] \frac{3}{x} [/tex]
Next, you would cross multiply.
18 = 2x
Now, the last step would be to isolate the x. To do this, you would divide both sides by 2.
9 = x
[tex] \frac{2}{6} [/tex] =[tex] \frac{3}{9} [/tex]
I hope this helps!
Which pile has more pennies
Answers
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?
A- 9(1 + 21)
B- 3(3 + 7)
C- 3(3 + 21)
D- 9(1 + 3)
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9 = 3 x 3
21 = 3 x 7
GCF = 3
3 x 3 + 3 x 7 = 9 + 21 = 30
what does this equal -12 = -3x -9
Answers
-12 = -3x -9
-3 = -3x
x = 1
Paloma used these steps to solve the equation 6x+5=3(2x+1)6x+5=3(2x+1). Which choice describes the meaning of her result, 2=02=0?
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The given equation 6x + 5 = 3(2x + 1) has no possible solution.
What is a mathematical function, equation and expression?function : A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
6x + 5 = 3(2x + 1)
The given equation is -
6x + 5 = 3(2x + 1)
6x + 5 = 6x + 3
5 = 3
Therefore, the given equation 6x + 5 = 3(2x + 1) has no possible solution.
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