Determine which of the following statements are true. (a) If -2 < 5, then -1 >-5. (b) If x< 5, then x+4>8. (c) If 4 is even, then 8 is even.

Q: Decide whether each of the following pairs of expressions is equivalent for all values of x. If they…

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Q: 5. If f(x)= 2x-9 and g(x)=2x+9, find (gof)(-8). On the right side of each step write reason,…

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Q: 7. Where is defined, it is equivalent to x² -11x which of the following expressions?

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Q: Determine the three arithmetic means between x+y and 4x-2y

A: We want to find the three arithmetic means between x+y and 4x—2y. Let a2,a3, and a4 be the three…

Q: -28/x+2=-20/x. X equals what?

A: We have given an equation.  We have to find the value of x.

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&gt;x To find all numbers of x, the given inequality is true or false.

Q: In the following mathematical sentence, find the value of x that makes it true. 1. 4х — 5 3 3х — 2 -…

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Q: 3) Evaluate 10log (x-5)

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

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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: Which of the following expressions does NOT make sense?

A:

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

A: 1x=x

Q: Mark says that 0.178 is greater than 0.25.  Why might Mark think this? Explain in at least two…

A: Solution: the objective is to explain why mark think that 0.178 is greater than 0.25

Q: For what numbers x is 6 - x ≥ x2?

A:

Q: * State the contrapositive statement for the statement "if f(x) >7, then x)8"

A: In this We describe an algorithm to find x.a=1(mod n) We also find the contrapositive statement of…

Q: نقطة واحدة -1 -2 + If S = 4 3 4 then, S =13x3 4 -4 5 true False

A:

Q: If f '(3) = 0 and f"(3) < 0, then what must be true?

A: f '(3) = 0 and f"(3) &lt; 0

Q: If 4x + i(3x – y) = 3 + i (– 6), where x and y are real numbers, then findthe values of x and y.

A: Consider the given equation To solve for x and y, compare the real and imaginary parts both sides…

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

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Q: If statement A is false and statement B is true what is value for ~(A-&gt;~B) ?True or false

A: Generating the truth table for the expression:

Q: Insert either &lt;, &gt;, or = to make a true statement. |3/5| | -0.6 |

A: Insert either &lt;, &gt; or =, 35 ____ -0.6

Q: If 0 = 0 and R = 7√2, then F₂ = 2

A:

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

A: Given that: x + 5 = 12

Q: Find a pair of values (x, y) that serve as a counter-example for the statement that [ry] : |x||y for…

A: The ceiling function gives smallest integer that is greater than the number, that is, x is the…

Q: substituting 26 for hypotenuse, 24 for adjacent, and 10 for opposite, you have these values.

A: Given data: The given base of the triangle is b=24. The given height of the triangle is p=10. The…

Q: For what values of x is x³ + 23x² + 132x + 180 = 0 a true statement?

A: Here we will find the values of x where given equation satifies,

Q: In analogies, :: denotes "is to". So bird :: air as fish :: water. True or false:  μ :: x¯ as σ ::…

A: In statistics we use the notations, µ : Population Mean x¯ : Sample mean σ : Population Standard…

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

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

Q: An ________ is a statement that equates two algebraic expressions.

A: We have to fill in the blanks: An ---- is a statement that equates two algebraic expressions. We…

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

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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: state the contrapositive and converse.If x &gt; 4, then x 2 &gt; 16

A: Statemen is given as, If x&gt;4 then, x2&gt;16. The contrapositive for the given statement is as, If…

Q: Evaluate whether each value makes a true or false statement. 3. k+ 6 2 19, if k = 11

A: we have to evaluate each value and tell whether the given statement is true of false. k+6≥19     ,…

Q: If x2 = 7, then x =________.

A: Given,  x2 = 7, To find 'x'

Q: Which of the following expressions is equivalent to (5x – 3) (2x-3)

A: We will expand the given expression using the FOIL method: (5x-3)(2x-3) =5x(2x) -5x(3) -3(2x) -3(-3)…

Q: Why is this statement false? "If f(2)=2, and f(4)=4, then f(3)=3."

A: To show following statement is false If f2=2, and f4=4 then f3=3

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

A: The given statement is : X-4=X-4

Q: of the expressions that 22. 4x-8 a. 2(2x – 6) ь. 2(2х- 4) C.X-8+3x

A:

Q: 2x-1 2

A: Given expression is   2x-114-x2

Q: Negate the following expression: (x>7)-((x3 -x)< 3)

A: Negate the following expressionx&gt;7↔x3-x&lt;3        →1

Q: What is the value (if any) of the following?  10^-x as x --&gt;∞ 10^-x--&gt;

A: Consider the given limit.

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

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

Q: ƒ(x) = 2x2 + 3, then which of the following represent ƒ(x + 1)?

A: Given fx=2x3+3We have to find fx+1We have    fx=2x2+3

Q: Which of the following is a mathematical statement? O (2x-4) +5x=3x+4 O x²y-4x O √√x² + y² O The sum…

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Q: Which property would justify the following statement? If x+2= y and y = 20, then x+2=20.

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Q: What is the value of x in x2 = 9.

A: We have to find value of x.

Q: X x+7 = 1/7

A: To find if the given expression equals to 1/7 or not.

Q: You cannot find the GCF of terms that are negative. O True False

A: The Greatest common factor of a set of numbers is the largest factor that all the numbers.

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

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.