Show that (pr) V (qr) and (p^q) →r are logically equival (a) by using truth tables. (b) by using standard logical equivalences.

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Q: f(x) = - 4x+5 if -1<x<2 3x-8 if 2≤x≤4 The domain of the piecewise defined function fis [-1,2]U[2,4]

A: Given a piece wise function

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A: We can solve the given problem by using the concept of ratios.

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A: According to exponent law we know

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A: Given,the sum of three numbers is 15, sum of twice the first number, 5 times second number, 6 times…

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A: Since you have posted multiple questions, I can do first question as per our company guidelines.…

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Q: (−3)(−3)(−3)(−3) (-3)(-3)

A: We can simplify the term and then expres quotient as a power.

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A: I have appended the formula used in the solution procedure part

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Q: Let f(x) = 5x and g(x)=2x². Find a formula for each of the following expressions. Find their…

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Q: Which statement is true for a function y = -2(4x - 8)³ compared to the original, y = x³ Horizontal…

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Q: let A = then a) True 12345678 = [" b) false 0 2243558 2022] 20192022 K(A) / K(B). O ₂] 1371742

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Q: r, then evaluate: 85 ÷ 8² 82

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Q: State the function of f(x) if D = {x € Rx - 3} and the y-intercept is (0, 1). ○ f(x) = 3/2 ¹/2 x-1…

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Q: f(x)= f(2)= 14 4x+5 if -1<x<2 3x-8 if 2≤x≤4

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Q: 5 y= 327 -3-2-1 -2 -3 -4. Write an equation for the function graphed above Enter abs(x) for ||

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Q: How many years will it take a 1,500$ loan to grow to 2,222.32 at 14% interest, compounded daily?

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Q: One factor of ³ - x² − x + 1 is x - x²-x-1 x²+x-1 x² +1 x² - 1 Ox²-x+1 - 1. The other factor is:

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Q: Use the table of values to evaluate the expressions below. x f(x) g(x) 0 1 2 3456700 8 9 f(g(5))…

A: By using the table of value to evaluate  the following expressions.093144255307488570669731812926

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A: Find vertical asymptotes of the function f(x) = 2x + 5

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Q: Let f(1) =7z+1. Find the inverse of f(x) and express as a function of z f-¹(x) = Check Answer

A: Givenf(x) = 7x + 1

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Q: Horizontal and Vertical Vertical Oblique and Vertical

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Q: Which one of the following relations is NOT a function? Oy² = 1-2x² Oy+22=0 0x = 1/1/20 0x²=1-2y

A: Using the definition of function, we can solve the question.

Q: Let T: P₂ → R² be the linear transformation defined by T(a₁x² + a₂x+α3) -2a1 + a₂ 7a3 22]. T(2x² +…

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Q: Mia invests $10,000 in an index fund. After 1 year, the funds share price has increased by 5%. How…

A: Mia invested $10,000 in an index fund. After 1 year, the funds share price has increased by 5%.