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Solve the following equation: X = 1 + (2x + 1)^1/2

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Solve the following equation: X = 1 + (2x + 1)^1/2

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PART ONE: ATTACHED PART TWO: what type of graph is: x^2 + 3y^2 - 4x + 6y = -1 A) parabola B) circle C) ellipse D) hyperbola PART THREE: Find the value of the discriminant of the equation. Describe the roots completely. Do not solve. 3x^2 + 4x - 5 = 0 A) 31; 2 real, irrational root

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Find the equation of the parabola with focus (3, -1) and directrix y = 5. A) x=-1/4(y+1)^2+3 B) x=-1/4(y+1)^2+4 C) y=-1/12(x-3)^2+2 D) y=-1/12(x-3)^2-1

In a real-world problem, what are some typical action items that you may need to do in order to get to the point having an equation to solve?

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This question concerns the equation 3x^2- 4x- 5=0 Choose the two correct statements about this equation Options. A. The equation has no real-number solutions. B. The equation has one real-number solution. C. The equation has two solutions x= - 0.7863 and x= 2.120 correct to 4 significant figures. D. The e

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Tn = a+(n -1)d sn = n/2(a + n) 4. For the series 3 + 9 + 15 + 21... Find: a) an expression for tn b) an expression for sn c) the answer if s = 20 d) the answer if t = 115 5. Find the # of terms in the sequencece 2,6,10... 626 I need a step by step procedure for solving these problems.

2. Apply the proof of the irrationality of sqrt(2) to a) sqrt(3) and b) sqrt(4). If the proof breaks down, indicate precisely why. 3. Euler's phi-function is defined such that for n > 0, phi(n) = |{m < n: gcd(m,n)=1}|. So, e.g., phi(4) = |{1,3}| = 2; phi(5) = |{1,2,3,4}| = 4. a. Show that for prime p, phi(p) = p-1.

One lighthouse is 60 ft hgt. An opposing lighthouse is 176.5 ft high. The distance between them is 3281 ft. The 60 ft lighthouse beam is 3281.54 ft. The 176.5 ft lighthouse beam is 3285.74 ft. At what point do they cross?

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If x/3 = 12/20, x = ?

1. If f(x)= 1/(2x + 3), then [f (1 + h) - f(1)]/h is ? 2. If f(x)=x2 + x4 and g(x)= square root (x-1), then (f o g)(x) is? 3. Identify the vertical and horizontal asymptotes of the given function y = g(x) = 3/(3x-1)