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¶ … Solve the following quadratic equation by factoring:
A) X2 + 6x -16 = 0
(x-2) (x+8)= 0
(x+2) (x-8) = 0
x=-2, x-8
b) solve the quadratic equation 6x2 +3x-18 = 0 using the quadratic formula x= - b +/- ?(b2- 4ac)
+/- ?[32- (4*6*-18c)]
x = 3/2; x= 2
c) Compute the discriminant of the quadratic equation 2x2-3x - 5 = 0 and then write a brief sentence describing the number and type of solutions for the equation.
If x= - b +/- ?(b2- 4ac), then (b2- 4ac) is the discriminant b2- 4ac= -32- (4*2*-5) = 49
There are two solutions for the equation, 1 and 2 1/2, which one gets by plugging the discriminant into the quadratic formula and solving for x.
Use the graph of y=x2+4x-5 to answer the following:
a) Without solving the equation or factoring, determine the solution(s) to the equation, x^2 + 4x - 5 = 0, using only the graph. Answer: x= 0, x = -5. I obtained the answers by looking at...
Also, P represents the monthly profit in dollars of the small business where x is the number of awards designed in that month.
a)…
College Algebra Individual Project Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all your work. Solve algebraically and check your potential solutions: x = -4 does not satisfy the equality. So the answer is only x = 5 Show the steps that you would take to solve the following algebraically: Show your work here: c) What potential solution did you obtain? Explain why this is not a solution. This
College Algebra Graphing Transformations a) Given the function f (x) = x^2 complete the following table. Must show all work for full credit. f (x) Show Work: When x = 0, f (x) = f (0) = (0)^2 = 0. When x = 1, f (x) = f (1) = (1)^2 = 1. When x = 4, f (x) = f (4) = (4)^2 = 16. When x = 9, f (x) = f (9) = (9)^2 =
Algebra Like many other languages and sciences, Algebra can be useful in the explanation of real-world experiences. Linear algebra, in particular, holds a high level of relevancy in the solution of real world problems like physics equations. Since the key point of physics is to explain the world in proven observations, linear algebra is an ideal mode for discussion. Many real-world situations can be explained by algebra; for example, how does
By observing x on the graph, then we make the connection that the slope of x on the graph represents rate of change of the linear function. Once we have done this, it is then possible to move to the development of a quadratic equation and see what the impact of the increase (or perhaps decrease) means to the data. Have we proven that the rate of change is linear?
Algebra, Trig Algebra-Trig Find the slope of the line that goes through the following points: (-4, 6), (-8, 6) Slope: m = (y2 -- y1) / (x2 -- x1) = (6 -- 6) / (-8 -- (-4)) = 0 / (-4) = 0 m = 0. Determine whether the given function is even, odd or neither: f (x) = 5x^2 + x^ To test a function for even, odd, or neither property, plug in -- x
Algebra All exponential functions have as domain the set of real numbers because the domain is the set of numbers that can enter the function and enable to produce a number as output. In exponential functions whatever real number can be operated. (-infinity, infinity) You have ln (x+4) so everything is shifted by 4. The domain of ln (x+4) is now -4 < x < infinity (Shifting infinity by a finite number