Answer:
8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]
Step-by-step explanation:
This can be expanded using the binomial theorem or by multiplying the factors.
In case you are not aware of the theorem, will do multiplication.
Given
(2x² + y²)³ = (2x² + y²)(2x²+ y²)(2x² + y²)
Expanding the second pair of factors
Each term in the second factor is multiplied by each term in the first factor, that is
2x²(2x² + y²) + y²(2x² + y²) ← distribute both parenthesis
= 4[tex]x^{4}[/tex] + 2x²y² + 2x²y² + [tex]y^{4}[/tex] ← collect like terms
= 4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]
Now multiply this by the remaining factor (2x² + y²)
(2x² + y²)(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex])
= 2x²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) + y²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) ← distribute both parenthesis
= 8[tex]x^{6}[/tex]+ 8[tex]x^{4}[/tex]y² + 2x²[tex]y^{4}[/tex] + 4[tex]x^{4}[/tex]y² + 4x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex] ← collect like terms
= 8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]
What number makes the equation true? 8 = 48 ÷ ?
Answer:
48 divide 8
Step-by-step explanation:
the answer would be 6 = 48 ÷ 8
What is the product of
(7/8)(-16)(-7)(-1/14)
A -7
B -9/16
C -1/7
D 23/12
Answer:
-7
Step-by-step explanation:
(7/8)(-16)(-7)(-1/4)
(7/8)(-1/4)(-16)(-7)
(-1/16)(112)
-7
Answer:
-7
Step-by-step explanation:
multiply all the numbers together and you get -7
How would you solve this(what is the equation of the line that passes through the point (3,4) and has a slope of -2/3?)//delta math//
Answer:
[tex]y = -\frac{2}{3}x + 6[/tex]
Step-by-step explanation:
y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.
4 = [tex]-\frac{2}{3}[/tex](3) + b
-2/3 times 3 is -2 so you can fill that in place.
4 = -2 + b
+2 +2
6 = b
So the y-intercept is 6 now we can complete the equation.
[tex]y = -\frac{2}{3}x + 6[/tex]
Hope that helps and have a great day!
75 points urgent.Jenny&Natasha are working on a problem together: Solve 3+8=−2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct &justify your reasoning.
EXPLAIN WHY!!!
Answer:
This is the correct way to solve the problem :
You add 3 and 8 together.
you see if it equals -2 or not.
I hope this helps!
Step-by-step explanation:
Tomas works as an underwater photographer. He starts at a position that is 13 feet below sea level. He rises 6 feet, then descends 16 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Answer:
Think of sea level as 0 on a number line
-13 + 6 - 15
Step-by-step explanation:
Answer:
-13 + 6 - 16
Step-by-step explanation:
He starts at 13 beneath the surface, so 13 beneath 0 (-13). Then he rises up 6, so + 6. After that, he lowers 16 one last time, so subtract 16.
suppose m8=141. What is m4 so that m||n ?
1. Your high school freshman class had a total of $1200 from fund-raisers during the year. To help
pay for a class trip at the end of your senior year, the class deposits the money into a 30-month CD
paying 5.6% interest compounded monthly.
a) Determine the amount the class will receive after 30 months.
I
[
b) How much interest did the class earn on the investment?
Answer:
a is 67.20 and b is 1267.20
Step-by-step explanation:
first you have to multiply 1200 from 5.6% and you get 67.20 then you have to add 1200 to 67.20 and you get 1267.20
What’s a better buy? 80 marbles for $4.99 or 90 marbles for $5.99?
80 marbles for $4.99 is a better buy as compared with 90 marbles for $5.99
What is comparison in mathematics?
Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.
Given are 80 marbles for $4.99 and 90 marbles for $5.99.
Using Unitary method -
80 marbles cost → $4.99
1 marble will cost → (4.99/80) = $0.062
90 marbles cost → $5.99
1 marble will cost → (5.99/90) = $0.066
Clearly $0.062 < $0.066
So, 80 marbles for $4.99 is a better buy.
Therefore, 80 marbles for $4.99 is a better buy as compared with 90 marbles for $5.99
To solve more questions on Rate comparison, visit the link below-
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Determine the slope of the line passing through each pair of points. (5, 8) and (-4, 6)
Answer:
picture?
Step-by-step explanation:
The price of a cell phone can be modeled by the equation:
y = 15x + 90, where x is time in years and y is the price of
the phone. This equation tells us that the cell phone originally
cost $90 and each year the cost went up $15. How many years
will it take for the cell phone to cost $150?
Answer:
4 years to cost $150
Step-by-step explanation:
Just add +15 to each year until $150
please help. ill give brainiest. I greatly appreciate your guy's help! :)
Answer:
it would be 12 1/2
Step-by-step explanation:
u would multiply 5/6 and 15 which would give u 25/2 and that is 12 1/2 as a mixed number
THIS IS STATISTICS** Are physically fit people less likely to die of cancer? An article in the May 2002 issue of "Medicine and Science in Sports and Exercise" reported results of a study that followed 25,892 men aged 30 to 87 for 10 years. The most physically fit men had a 55% lower risk of death from cancer than the least fit group. What is the population of interest and the sample in this scenario? Write your response using complete sentences. plz help
Answer:
In this case the population of interest is the set of all men aged 30 to 87.
In this case the sample is the set of 25,892 men aged 30 to 87.
Step-by-step explanation:
A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.
In this case the population of interest is the set of all men aged 30 to 87.
A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.
In this case the sample is the set of 25,892 men aged 30 to 87.
Please someone help with explanation! It’s due in 30 min!! Pleasee
Answer:
hi
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!! I WILL LOVE YOU FOREVER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I am not 100% sure but I think it is
Question 9:
A. (-2, -2)
B. (1, 0)
C. (3, -7)
Question 10:
A. (-1, -3)
B. (-4, -5)
C. (-6, 2)
Can someone help please?
Answer:
Can i be brainlest i neeed it
Solve for AB. Round your answer to the nearest tenth if necessary.
Answer:
AB = 55.25
Step-by-step explanation:
Set up an equation where the length of AB is equal to AC minus BC. This will allow us to solve for x, and then the length of AB.
AB = AC - BC
5x + 9 = 87 - (3x + 4)
5x + 9 = 87 - 3x - 4
5x + 9 = 83 - 3x
8x + 9 = 83
8x = 74
x = 9.25
Now plug 9.25 in for x in the equation for AB
AB = 5x + 9
AB = 5(9.25) + 9
AB = 46.25 + 9
AB = 55.25
2 ÷ 1/8 (1/8 is a fraction)
Answer:I'm pretty sure the answer is 16
Step-by-step explanation: you know if the 1 of the fraction 1/8 gets to 8 it will become 1 right, so try that many times until you get to 2 which at that point you get 16.
Hope this helps!
Answer:
16
Step-by-step explanation:
Convert
(optional but easier, in my opinion)
1/8 = 0.125
Divide
2 ÷ 0.125
= 16
Brainliest and 20 points for correct answer
The answer is C since the square root of 38 is about 6.1 and is the closest to the dot
what is negative 1 and 4/5 as a decimal
Answer:
1.08
Step-by-step explanation:
Answer:
9/5 or -1.8 or -1 4/5
Step-by-step explanation:
The endpoints of CD are C(6, 1) and
D(-4, -1). Find the midpoint M of CD.
Answer:
(1, 0)
Step-by-step explanation:
I can't really explain it on here with it making sense but just plug in the numbers into the formula and it should be easy from there
Answer:
midpoint= (1,0)
Step-by-step explanation:
(-4+6/2, -1+1/2)
(02.02)
A beverage is made by mixing 1 part of water with 3 parts of fruit juice. How many parts of
water are mixed with 1 part of fruit juice? (3 points)
A: 1/3
B: 1/2
C: 3/2
D: 3/1
Answer:
A: 1/3
Step-by-step explanation:
The ratio is 1 part water to 3 parts juice.
The amount of water in the ratio works out to be 1/3 of the amount of juice.
For 1 part juice, use 1/3 of that amount of water, so use 1/3 part water.
Answer: A 1/3
What is the value of x in the proportion below?
1/2 /4 = x/28
O 3 1/2
O 7 1/2
O 14
O 56
PLEASE HELP ITS URGENT
The value of x in the proportion below is option 1 3 1/2.
What is butterfly method?When using the butterfly method approach, the denominator of the first term is multiplied by the numerator of the second term, and vice versa.
What is proportion?An equation known as proportion shows that the two ratios presented are equal to one another. In other terms, the proportion declares that the two ratios or fractions are equal. In terms of proportion, two sets of supplied numbers are said to be directly proportional if they increase or decrease in the same ratio.
The given proportion is:
[tex]\frac{\frac{1}{2} }{4} = \frac{x}{28}[/tex]
Using the method of cross-product or butterfly method:
[tex]\frac{\frac{1}{2} (28) }{4}=x \\\\\frac{14}{4}=x\\ \\x=3.5[/tex]
The value of x is 3.5. Converting this value into mixed fraction:
3.5 = 3 1/2
Hence, the value of x in the proportion below is option 1 3 1/2.
Learn more about proportion here:
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2. Which expression is equivalent to 1/3 p + 15?
A. 1/3 (p + 45)
B. 1/3 (p + 5)
C. 3(p + 45)
D. 3(p + 5)
Answer:
1/3 ( p + 45)
Step-by-step explanations:
which is true regardless the graphed function f(x)
Answer:
f(3)=2
Step-by-step explanation:
A quarterback dropped back 5 yards behind the lone of scrimmage. Then, he passed the ball 14 yards. How far past the line of scrimmage did the ball travel? (Write an equation to represent this problem)
Answer:
9 yards
Step-by-step explanation:
-5 + 14 = 9
PLEASE HELP! I need to get this right to boost my grade, and I'm having trouble understanding it but there's a deadline to turn it in. Could anyone help me?
Estimate the area of the irregular shape (don’t forget to show work). Explain your method.
I included a picture, I hope it helps.
Answer:
about 30 units
Step-by-step explanation:
the way my teacher taught me this was just counting all the squares that the irregular shape covers, whether or not it is fully encircled.
15 points please answer this ;(
Answer:
see explanation
Step-by-step explanation:
(1)
Given
A = bh ( isolate h by dividing both sides by b )
[tex]\frac{A}{b}[/tex] = h
(2)
Using the result from (1)
h = [tex]\frac{A}{b}[/tex] = [tex]\frac{45}{9}[/tex] = 5 ft
Factor completely by grouping.
x^3 + 7x^2 + 9x + 63
Answer:
(x+7)(x2+9)
Step-by-step explanation:
Answer: x^3+ 261x +63
Step-by-step explanation:
find the y-intercept of f(x) = 3x^2 + 6x
Answ3r:
81x^2
Step-by-step explanation
I think
Answer:
x=0
Hope this helped!!!! :)
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none.
When m2 = m3
none
Correct answer is C) none
I did the assignment, the other answer is incorrect.
