Erin and Christa were working on cubing binomials for math homework. Erin believed they could save time with a shortcut. She wrote down the rule below for Christa to follow. (a + b) = a + b3 Does Erin's shortcut always work? Justify your result algebraically.

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A: This is a binomial expansion problem

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A: Straight angle is 180

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A: The volume of cube = 27 in3 New volume = x+27 where x = 30 New volume = 30+27 = 57 in3

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Q: What is the Roster notation for A = {y|y is a power of 3 between 0 and 100}

A: The objective of the question is find the  roster notation of the given set.

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A: Nature of the roots of the differential equation

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Q: 4) In the given diagram, find the value of x. X = Ho the lo of 8x-2 15x

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Q: Shaw Abooraically that Fand 6 ace.ivee F)=-3x2+5,X20 gW=D5-x 3. theN explain why a restriction was…

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Q: Use properties to find the vakue of 1)+ -3)%-D8•(1+3)

A: To find the value in the empty box

Q: Show that the Substitution XZe e reduces the eguation y=9G) ()6 =fっ+,パx9+パで6

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Q: If 2x + 5y = -1 and 3x 2y 27, then what is the value of x?

A: Solution:

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Q: AMNQ is equiangular and NR = 6 NR bisects ZMNQ QR bisects ZMQN NQ Given: Find: M N Q

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Q: Soive for the quotient of the foiiowing 1.) x -x-9x + 9 + x-3 2.) x? + 2x2 - 9x -18 + x +2 3.) x +…

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Q: The degree of precision of a quadrature formula whose error term is : f(3) (5) is O 1 O 2 O 3 4

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Q: A F 4 -B 3

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Q: What can be said about Col(A) if A is 20×17? Could it be equal to R^20? Be as detailed as possible

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A: Given,

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Q: finod fe Par the fullowing funcbion (3-2X)x

A: The detailed solution is as follows below:

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A: Note: We are allowed to solve only one question at a time kindly upload other questions as different…

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Q: Given that A'. = 2. find

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Q: • What is the nature of the roots of 3y"+15y+33? What is the nature of the roots of 4y"-12y+16?

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Q: The degree of precision of the following quadrature formula is: 8 2 f(x) f(1) + 1 2.

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Q: The degree of precision of a quadrature formula whose error term is : f(2) (5) is 4 O 1 3.

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Q: 7

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Q: B) Find the values of X Hhat shtishy Hhe incqualityy メニメー2 x-16

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Q: Subtract. (4y² + 7yq + 7q³) – (5y² + 9yq)

A: We need to simplify the following expression 4y2+7yq+7q2 - 5y2+9yq

Q: d Question 2. Use the Product Rule to calculate (5x³ +2x²)· (1 + ). Do not simplify.

A: given     d/dx ( (5x³+2x²).(1+3/x)) We have to use product rule

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.