Decide whether each of the following pairs of expressions is equivalent for all values of x. If they are equivalent, show how you can be sure. If they are not, justify your reasoning completely. a. (3x - 4)(5x -7) and 15x- 41x – 28 b. 5(2x+3)- 8 and 20x + 24x + 37 2

Q: evaluate each of the algebraic expressions for the given values of the variables. 3(2x - 1) + 2(3x +…

A: Given expression: 32x-1+23x+4……1   To find the value of above expression for x=1.2

Q: Evaluate the given algebraic expression for x = -2 and y = 3. x3y

A: GIVENx3yx=-2,y=3

Q: Which of the following expressions is equivalent to x² – 9x + 20 ? А. (х + 5)(x — 4) В. (х - 9(х —…

A: Given  x2 - 9x +20

Q: What is the answer for -4+3-7x

A: What is the answer for -4+3-7x

Q: For what numbers x is 6 - x ≥ x2 ?

A: Given: 6-x≥x2

Q: For all numbers x,x^4>x. True or false?

A: Given: x4>x To find all numbers of x, the given inequality is true or false.

Q: Find a counterexample to show that the equation below is a false statement. (x+16)(x – 17) = (x+16)…

A: Choose x=17

Q: If 75% of x is 3000 the find the value of x

A: Given ,  If 75% of x is 3000 Then , we find the value of x  We know that  75% of x is 3000 means…

Q: Determine whether the statement is true or false. x(x2 + 4) can be put in the form x2-4 x + 2 X - 2…

A:

Q: evaluate each of the algebraic expressions for the given values of the variables. (3a - 2b)2 for a =…

A: Given: The algberaic expression 3a-2b2 To determine: Value of given algebraic expression for a=-2,…

Q: Which of the following statements about ( 2x – 5 if x 3

A:

Q: Describe the following algebraic expressions in terms of x. Answers should be in the form of x = ?…

A: Here given   a) 3x - 33 = 7y c) 100 + 3.5x2 = 255

Q: The most conveneient way to evaluate x² – 4 by substitution is to let x2 – 4 =y A True B False

A: On solving this we will get

Q: Simplify the expression and state any restrictions. x + 8 x + 13x + 40 2x + 9x + 10 2x - x - 15 x² +…

A:

Q: Simplify each of the following expressions as much as possible.   A)   5x-4-3x   B)  5x-(4-3x)

A:

Q: If x = -5 and y = -3, evaluate the given expression.  3x + 2y

A: Given, x=-5 and y=-3     Evaluate 3x+2y :

Q: Evaluate the algebraic expressions for the given values of the variables. -2(x + 4) - (2x - 1), x =…

A:

Q: The manager of a CD store has found that if the price of a CD is p(x) = 90 - then x CDs will be…

A:

Q: Determine which of the following statements are true. (a) If -2 -5. (b) If x8. (c) If 4 is even,…

A:

Q: The table shows values of the expressions 10x and 2. 10x 10 40 90 4 160 16 8. 10 12 Find the value…

A:

Q: Simplify each of the following expressions as much as possible. а. 4x - 5-2х b. 4x - (5 -2х) a. 4x -…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Simplify each of the following expressions as much as possible а. 4x- 5-2х b. 4x - (5 - 2х) a. 4x -…

A:

Q: For what numbers x is 6 - x ≥ x2?

A:

Q: The largest non-permissible value for x in the expression 10x + 5x? 4x + 20 4x2 8x - 25 + 5x is

A: Solution

Q: Which expression is equivalent to (x−1)−(1−x)+ x(x−1)−(1−x)+ x?

A:

Q: Which of the following expressions is NOT equivalent 36 ? to x

A:

Q: Which of the following expressions are equivalent to ? Select all that: -2ar+4. -2 apply. 2-2x+4…

A:

Q: Evaluate the algebraic expressions for the given values of the variables. 3(x - 2) - 4(x + 3), x =…

A: We have to evaluate the algebraic expression for the given value of the variable: 3x-2-4x+3 at x=-2.…

Q: The expressions (x - y) (x2 + xy + y2) is equivalent to which of the following.   1.   (x3 - y3)

A:

Q: A) Find the quantities for the following 12+3x 4 (x - 2) < 1x – 6) -3<-4<3

A:

Q: Which of the following expressions can be written as (ax+b)(ax-b), where a and b are integers?…

A: To express which of the following expressions can be written as (ax+b)(ax-b), where a and b are…

Q: Which of the following is equivalent to x*-49 for all values of x, where x+ -7? 4x + 28 (1) 7 x+7…

A:

Q: Complete the following statement. If p(x)=x2+7x+3 is divided by x+4, the remainder is

A: Given that p(x) = x2+7x+3 is divided by x+4 To find the remainder :- x+4 = 0     x = -4

Q: 5. Simplify the following and state any restrictions on the variable. 4x² – 20x а. 4x? –1 X +3 2x…

A:

Q: Find the value of the following expression when (x=6):(x-10)(x-9)(x-8)…(x-3)9x-2)(x-1)

A: To Find the value of the following expression when (x=6):(x-10)(x-9)(x-8)…(x-3)(x-2)(x-1)

Q: Evaluate the algebraic expressions for the given values of the variables. 2(x - 1) - (x + 2) - 3(2x…

A: The algebraic expression is 2x-1-x+2-32x-1. To evaluate the expression at x=-1, substitute -1 for x…

Q: 61 21 3x + 1 6. - 27

A: In ∆ABC, If DE ∥BC , then              ADDB=AEEC Using ( Basic Proportionality Theorem )

Q: Determine the values of a, b, and c for Ax) = ax + bx+c so that f") = 6x- 3 and A2) = -1.

A:

Q: If f (6) = 0, which of the following must be true?

A:

Q: Simplify the following expression, given that x=9: -6--4x=

A: Given,          The expression is -6-4x.

Q: For x# 0, the expression can be written as (1) 1 (3) x (2) x2 (4) x

A: Given expression: x63x4 The term x63 can be written as x613. The term x4 can be written as x412

Q: Determine whether the statement is true or false. x(x² + 4) x2 - 4 B can be put in the form x + 2 X…

A:

Q: Match each of the following worded statements with the mathematical notation that represents it. x →…

A: The solution are next step

Q: if 2^x+2 what is the value of x in terms of k?

A:

Q: Evaluate the algebraic expressions for the given values of the variables. 4x2 + xy - y2, x = 3 and y…

A: The given algebraic expression is 4x2+xy-y2

Q: (b) If  x(x + 2) &gt; 5,  does it follow that x &gt; 5? YesNo     If No, give an example. (If Yes,…

A:

Q: evaluate each algebraic expression for the given values of the variables. 3x - 7y for x = -5 and y =…

A: An algebraic expression is an expression consisting of variables and constants with algebraic…

Q: Resolve the following: x2-x-13 1. (포+7)(x-2)

A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

Q: Sarah thinks that the following expressions are equivalent: 2x + 3 = x/2+ ¾ Is she right? If so,…

A:

Q: for what value of x do the expressions 2x-3 and x + 9 take values with opposite signs?

A: It is given that the expressions 2x-3 and x+9 take values with opposite signs.

Q: hich property justifies this statement? X-4=X-4

A: The given statement is : X-4=X-4

Q: evaluate each algebraic expression for the given values of the variable. (x2 + 2y3)/(5x + y) for x =…

A: Consider the expression x2+2y35x+y Put x = 3 and y = -1 we get,

Q: evaluate each of the algebraic expressions for the given values of the variables. 5(3n - 1) - 7(-2n…

A: Write the simplified form of the expression. 93n-1-7-2n+1

Q: Which of the following is the interpretation of r-0.92

A: Correlation: The correlation coefficient explains the relationship between two quantitative…

Q: If Julie has five times as many CDs as Jack and Tira has three times as many Julie, write an…

A: Let x represent the number of CDs that Jack owns.Julie has five times as many CDs as Jack, so Julie…

Q: If x = -5 and y = -3, evaluate the given expression.  (2y - 12)/(x - 4)

A:

Q: evaluate each of the algebraic expressions for the given values of the variables. -4(3x - 1) - 5(2x…

A: Given: Let f(x) =-4(3x-1)-5(2x-1) To Find: The value of given expression for x=-2.3

Q: evaluate each of the algebraic expressions for the given values of the variables. a2 + 3ab - 2b2 for…

A: We have to find the value of the algebraic expressions for the given values of the variables, Where…

Q: evaluate each of the algebraic expressions for the given values of the variables. 3x2 - 2y2 for x =…

A: The given expression is 3x2-2y2

Q: Rewrite the following without the absolute value symbols.| x - 11 | &lt; 6x &lt; 5x &gt; 17 or x…

A: | x - 11 | &lt; 6 can be written as

Q: Evaluate the following expressions for the given values. If x = -3, find x^3 - x^2 + 4.

A: A detailed solution is given below.