Answer:
A
Step-by-step explanation:
Expressing the identity in terms of a and b
(a + b)³ = a³ + b³ + 3ab(a + b)
Subtract 3ab(a + b) from both sides , then
a³ + b³ = (a + b)³ - 3ab(a + b) ← substitute given values
a³ + b³ = 12³ - 3(7)(12) = 1728 - 252 = 1476
Step-by-step explanation:
I hope you get it. you have to substitute and also find the value of a3 + b3
ben bolwed 138 and 208 in his first two games. What must he bowl in his third game to have an average of at least 170?
Answer:
at least 164
Step-by-step explanation:
Let the third score = x.
(138 + 208 + x)/3 ≥ 170
x + 346 ≥ 510
x ≥ 164
Answer: at least 164
Solve and graph each of the following. Show your work to receive full credit.5x – 6 – 8x ≤ 9
Answer: x> or equal to -5
Step-by-step explanation:
5x – 6 – 8x ≤ 9
Combine the lioe numbers
-3x-6≤ 9
+6 to both sides
-3x≤ 15
Divide by a -3 to both sides
X>or equal to -5
Hope that helps
Type the expression that results from the following series of steps:
Start with z and add 5.
Katrina wants to earn at least $600 this week in commission. What is the minimum amount she needs to sell in order to earn $600 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.
__________
Answer:
$8000
Step-by-step explanation:
For every $1000 Katrina sells, she earns $75. This is becuase when we multiply what she sold by her commision price, we get what she made
If we want to find how much she needs to make to earn $600, we can divide 600 by 75. This gives us 8. So, she will need to sell $8000 in order to earn $600
THEN c. If a || band line c is parallel to line a, then line b and c are?
Answer: parallel
Step-by-step explanation:
For two lines to be parallel they must have the same slope.
Because a is parallel to b they must have the same slope. Let's call that slope x.
Because c is parallel to b they must have the same slope. Because the slope of b is x, the slope of c must be x.
Because the slope of both a and c are x, they must be parallel.
A recipe needs 1/2 cup of water for every 2 cup at of sugar.if toy plan to use 8 cups of sugar,how much water will you need?
4 cups of water is your answer.
Step-by-step explanation:
Please give me the answer
Answer:
8%
If you need the work comment on this post.
Lie is solving the quadratic equation by completing the square.
3x2 + 18x – 8 = 0
3x2 + 18x = 8
What should Lie do next?
Write the polynomial as a binomial squared.
Factor 3 out of the variable terms.
Isolate the variable x.
Add 8 to both sides of the equation.
Answer:
Factor 3 out of the variable terms
Answer:
Factor 3 out of the variable terms.
Step-by-step explanation:
To complete the square the coefficient on the x^2 term must be 1
Therefor
Factor 3 out of the variable terms.
x3+y3+z3=k What does this equation mean please?
Answer:
Sum of cubes problem
Step-by-step explanation:
The equation x3+y3+z3=k is sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.
Answer:
it means x to the third power, plus y to the third power, plus z to the third power, equals some number (k).
Step-by-step explanation:
7x-15y=2 , x+2y=3 By subtition method
Answer:
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Explanation:
7x - 15y = 2 (1)
x + 2y = 3 (2)
x + 2y = 3
x + 2y - 2y = 3 - 2y
x = 3 - 2y (3)
Substitute (3) to (1)
7x - 15y = 2
7(3 - 2y) - 15y = 2
21 - 14y -15y = 2
21 - 21 - 29y = 2 - 21
-29y = -19
y = [tex]\frac{19}{29}[/tex] (4)
Plug (4) into (2)
x + 2y = 3
x + 2[tex]\frac{19}{29}[/tex] = 3
x + [tex]\frac{38}{29}[/tex] = 3
x = 3 - [tex]\frac{38}{29}[/tex]
[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Who walks at a faster rate: someone who walks 60 feet in 10 sec or someone who takes 5 sec to walk 25 feet?
Answer:
60 ft in 10 seconds.
Step-by-step explanation:
Theoretically, if the 5 second dude were to walk ten seconds, they'd only walk 50. (25 x 2 = 50, therefore 60 feet in 10 seconds is faster)
Answer:
I think it's the guy who walks 60 feet in 10 seconds
Step-by-step explanation:
Since the other guy walks 25 feet in 5 seconds, we can simply double the seconds to get 10 seconds and 50 feet.
So the first guy walks 60ft/sec and the second one walks 50 ft/sec
i may be wrong but this is my best explanation. I hope it hlps
10, 18, 26, 34, 42, ...
What is the 15th term of this Arithmetic Sequence
Answer:
a₁₅ = 122
Step-by-step explanation:
Arithmetic sequence formula:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the rate of change.
For your given sequence:
[tex]10, 18, 26,34,42,...[/tex]
a₁ is 10
n is 15 (15th term)
d is 8 (each term increases by 8 over the last)
Plug those 3 variables in, and solve for a₁₅:
[tex]a_n=a_1+(n-1)d\\a_1_5=10+(15-1)8\\a_1_5=10+(14)8\\a_1_5=10+112\\a_1_5=122[/tex]
Use substitution to solve the system of equations algebraically.
x² + y² = 32
y = x
One solution to the system of equations is (4,4).
The other solution to the system of equations is
Answer:
(-4,-4)
Step-by-step explanation:
Since y=x,plug in x for y in equation 2
x²+x²=32
2x²=32
x²=16
x=√16=±4
So one solution is (4,4) and another is (-4,-4)
Answer:
i really cant tell you
Step-by-step explanation:
sorry
A backback originally costs $35 it is on sale for $22.75 find the percent of decrese
Answer $12.25
Step-by-step explanation: edmentum
(−4/3)⋅(−1/3)⋅1.2 answer plz
Answer:
= .533
Step-by-step explanation:
(−4/3)•(−1/3)= .44
.44•1.2=.533
List three negative numbers that are greater than - 9
Answer:
the answer to your question is -6 -5 -3 but there are more.
Answer:
there are infinite but you can take any numbers from the right one that are
-8,-7,-6,-5,-4,-3,-2,-1,0,1,2....
what is 3 x 7 = x 3 ?
Answer:
7
Step-by-step explanation:
21=3x
x=7
Answer:
x = 7
Step-by-step explanation:
3 x 7 = x 3
21 = 3x
x = 21/3 = 7
Graph a right triangle with the two points forming the hypothenuse, Using the sides, find the distance between the two points, to the nearest tenth if necessary (3. -7) and 8. -3)
Answer:
That distance is 6.4
Step-by-step explanation:
The legs of the triangle form a right angle. The bottom leg has length 8 - 3, or 5, and the vertical leg -3 - (-7), or 4. Applying the Pythagorean Theorem:
(vertical leg)^2 + (horizontal leg)^2 = (hypotenuse)^2, which here is
4^2 + 5^2 = (hypotenuse)^2
This works out to 16 + 25, or 41.
The distance between these two points is d = √41, or d = 6.4
Annelise buys a car that is one year old for $13600.
The value of this car has reduced by 15% of the value when it was new.
Calculate the value of the car when it was new.
Answer:
$16000Step-by-step explanation:
Initial value is x, current value is $13600, price reduction by 15%.
x - 15% = 13600x - 0.15x = 136000.85x = 13600x = 13600/0.85x = 16000Use the distributive property to
expand the expression below.
6(2a – 3) = [?]a - [ ]
Answer:
12a - 18
Step-by-step explanation:
6 x 2 = 12 (then add the "a" = 12a
6 x 3 = 18
put the minus in the middle then get
12a- 18
1 dm = _______ cm what answer of this
Answer:
1dm = 10cm
Simple as it is
Answer:
The term “Deci” means one-tenth, and therefore decimetre means one-tenth of a meter. Since a meter is made up of 100 cm, one-tenth of 100 cm is 10 cm. Thus one decimeter measures 10 cm.
Step-by-step explanation:
hope it's help!
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#Staysafe!
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On the first down the team returned the ball to the 30 yard line, then they ran the 42 yard line for a gain. which number represents the change? (number line is on pic)
a. -12
b. 0
c. +4
d. +12
Hi, can someone please help me with this? I’ll give branliest if i can!
The number which represents the gain as per the question is +12. Hence, option "d" is correct.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the information given in the question,
Firstly, the team returned the ball to the 30-yard line.
Then, hey ran to the 42-yard line for a gain.
Then, the number that shows the change will be,
= 42 - 30
= +12, there is gain of +12.
To know more about arithmetic operations:
https://brainly.com/question/13585407
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Yall i need help asap! please help
3) 1010000
4) 1582
I helped
plase answer the second one
thanks
Answer:
0,01
Step-by-step explanation:
0,0001 = 1 / 10000
√0,0001
= √( 1 / 10000 )
= √1 / √10000
= 1 / 100
= 0,01
If the slope of a line is -6, will that line be steep or shallow
Answer:
shallow
Step-by-step explanation:
Î"RST was _____________, then dilated, to create Î"ZXY. Rotated reflected translated dilated.
Answer:
5
Step-by-step explanation:
help with my math plz
Answer:
Step-by-step explanation:
The side is S= 5 cm , and the area is A= S² = 5²= 25
If the side would be doubled will be S= 5*2 = 10 cm, and the area A= 10²=100
Compare the area of S=5 to area of S=10 , 100 = 4*25
Conclusion:
If we double the side the area is 4 times greater.
how many square units are in an office that is 13 units by nine units
Suzanne has 15 books and will buy 3 more each month. Jack has 57 books and will sell 4 books each month. After how many months will they have the same number of books? How many will that be?
They would both have the same number of books after 6 months.
The number of books they would have is 33.
This expression can be used to determine the number of books Suzanne would have after x months: 15 + 3x
This expression can be used to determine the number of books Jack would have after x months: 57 - 4x
In order to determine the month in which both people would have the same number of books, equate both expressions.
15 + 3x = 57 - 4x
Combine similar terms
3x + 4x = 57 - 15
7x = 42
Divide both sides b y 7
x = 6
Number of books they would have : 15 + 3(6) = 15 + 18 = 33
A similar question was answered here: https://brainly.com/question/21014980?referrer=searchResults
what is the product of... see attachment below
The answer is -7 (option A)
Steps are in the attachment.
_________
Hope it helps ✌