If a, b, and c are real numbers, the distributive property states that a(b + c) =

Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: Given: -14825=-14825 According to the associative property of multiplication. abc=abc For instance,…

Q: Find the explicit formula. -4, -16, -64, -256, ... O an An = :-19 - 52-1 On = -4- 5"-1 An =-20 -…

A: We will find the formula for the nth term as following.

Q: For "x is in A minus B" give an equivalent statement that uses "x is in A"  and "x is in B"

A:

Q: Find the number that provides a counterexample to show that the given statement is false.   For…

A: Given: Find the number that provides a counterexample to show that the given statement is falseFor…

Q: 2. Simplify the given expression. (20 Points) (8x)? O 4x2 O 27x2 O 9x2 O 36x2

A:

Q: Add brackets to make this statement true. Justify 12 + 12 / 6 - 2 x 3 = 13

A: The objective is to add brackets to make the statement true.

Q: The distributive property states that a(b + c) =

A: distributive law to be proved

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: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: Given that (a)    3+-4=-4+3(b) 74+94=7+94   Commutative property: According to this property , when…

Q: Which of the following expression represents Distributive property? (Note : a, b & c are real…

A: We have to find out distributive property

Q: Is there an associative property of subtraction? That is, is it always true that a – (b – c) = (a –…

A: To write that the associative property exist for substraction

Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: Given: 12yx = 12xy

Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: Given that : The statement is  [(-7)(4)](-25) = (-7)[4(-25)] .

Q: If a and b are any real numbers, is the statement a * b = b * aalways true? Why or why not?

A: Given that, a and b are any real numbers.   The objective is to decide whether the statement a×b=b×a…

Q: What is the value of x after each of these statements is encountered in a computer program,  if x =3…

A: Answer

Q: Let a,b,c and d be real numbers. Which of the following statements are necessarily true? (1) If a ≤…

A: The Given  statement 1) is not necessarily true Because this may be possible that b>c . THIS MAY…

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

A:

Q: Name the property of equality or congruence that justifies going from the first statement to the…

A:

Q: If P(A) = 0.45, P(B) = 0.41, and P(A or B) = 0.86, are A and B mutually exclusive? yes or no?

A:

Q: Determine whether ⊂ , ⊆ , both, or neither can be placed in each blank to make the statement true.…

A: That's easy. Have a good day!!!

Q: Evaluate the given algebraic expression if r 4 and y = - 3- %3D - - - 2ry =

A: Given: x=-4 and y=-3

Q: The distributive property states that a(b + c) =_______ .

A: The distributive property states that a(b + c) =_______ .

Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: The given equation is -1(x + y) = -(x + y).   Multiplication property of negative one: If a, is a…

Q: If R is the set of real numbers and Q is the set of rational numbers, then what is R – Q?

A: Since, R consists of real numbers which include both rational and irrational numbers.

Q: What will be a counterexample for the statement “x over x = 1?” a. 100 b. 0 c. – 1 d. 1

A: We want to find the counterexample for the statement “x over x = 1?”  given options are  a. 100  b.…

Q: If 2< x < 6, which of the following statements about x are necessarily true, and which are not…

A: a) If x=5 then x satisfies 2<x<6 , but then 0<x<4 is not true.  So this is not…

Q: State the name of the property illustrated as 2(-8 + 6) = -16 + 12.

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: if x+5 = 12, then x=7what is the property?

A: Given that: x + 5 = 12

Q: Name the property of equality or congruence statement to the second. 9.) 2x + 1 = 7 10.) 5x = 20…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: number that can be expressed in the form ?/?, where a and b are

A:

Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: Given:                      -3 (2+ 4)= -3(2) +(-3)(4)   To determine:                         The…

Q: Determine whether each of the following statements is true or false, and explain why.If AB = A and…

A: The statement is true. Given that AB=A and BA=B. We have to prove that B2=B.

Q: Provide a counterexample to disprove the statement: If x2 > 4, then x > 2.

A: Given:          If x2 > 4, then x > 2.

Q: Simplify each expression using the distributive property. 1)5(2x - 1) 2)2(x - y - 1) 3)-(5x - 9)…

A: First we will look at what distributive property is and then we will simplify the given expressions…

Q: Insert either <, >, or = in the blank to make a true statement l -6l …… l-3l.

A: We have to insert symbol <,> or = in the blank   |-6|.........|-3|   |-6|=6 |-3|=3

Q: The formula for Pythagorean Theorem is a? + b² = c² O True O False

A: Given,  The formula for pythagorean theorem is  a2+b2 =c2  We have to find the truthfulness of the…

Q: If the expression is written in the form b and c?

A: Given that The given expression can be written in the form of ax^by^c To find The product of a,b and…

Q: state the property that justifies each of the statements. For example, 3 + (-4) = (-4) + 3 because…

A: It is given that (3/4)(4/3)=1.   The given multiplication of 2 fractions is defined by Inverse…

Q: .If a +b+c = 0, show that a x b= b x c = c x a. With one or two sentences, explain why this makes…

A:

Q: Use the theorems and given information to sho 1/2 3/4 87 6/5

A:

Q: Provide a counterexample to show that each statement is false. You may use words or a diagram. If ab…

A:

Q: What is the inverse of the proposition: “If 2 is an even number, then 2 is rational.” ?

A:

Q: If a, y are two nonzero real numbers, then which of the statements about and y is FALSE? O ( - 1) yl…

A: Statement 1 is false: Take  x=-5, y=4 Then,  |x|=5,|y|=4 Further, x-1y=-64=-24=24 xy=-54=54=20 Here,…

Q: Translate the given statement into symbols. 0.03 is less than 0.3.

A:

Q: The set of numbers in the form , where a and b belong to the set in statement 7 above and b 0, is…

A: Rational number: Rational numbers represented by ab where a and b are real number and b≠0.

Q: What is the value of x after each of these statements is encountered in a computer program,  if x =3…

A: statement x+1=4 is reached when x=3. see 2nd step.

Q: Place <, >, or = in the appropriate space to make each a truestatement.  |-5|    -(-5)

A: We have to solve

Q: The operation * is defined over the set of real numbers "R" by a * b = a + b + 1/2ab. What is 6 * (2…

A: Given that the relation defined on real number R as a*b=a+b+12abTo find 6*(2*5)?