12. The function f(x) = 0.5x² - 2x - 1 is shown graphed below. The function h(x) is defined by the formula h(x) = f(x) + 4. Answer the following questions. 0.5x2 (a) What is the value of h(2)? Justify. [2 points] 26+5 0.5X +3 F(x) y 10+ f(x) = 0.5x² -2x-1 (b) Graph h(x) on the same graph grid. [2 points] -2 (c) Give a formula for h(x) in terms of x. [2 points] 0.5x2-2x+5 -5- 5. +x -10 (d) How many solutions does the equation h(x) = 0 have? Justify your answer. [3 points] 3

Q: 5(x+2)=17 Solve

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A: The given functions are f(x)=4x2-5x+1g(x)=22-x2-xh(x)=-12x+3l(x)=log4(x+3)-log4(x-2)

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A: We have given equation  x2+y2=z2 for y>0 y2=z2-x2 y=z2-x2 As y>0 y=z2-x2

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Q: What is the value of x in the equation (4x – 1) – 3x = = - (x + 2)? 1 3 19 16 16 16 X = 3.

A: To find :                  Solve the given equation to find the value of x.

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A: We can solve this as follows:

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A: see below the calculation and explanation

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A: Use the solution given in ln form untill told otherwise in question because it's more accurate!

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A: x(3x-7)=0 , we will use zero product rule.

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A: Given:

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A: