# Algebra Essay Examples

algebra to find the x-intercept of the line that you found in part (a), clearly showing each step of your method. Y=3/-2x+1/2 At intercept y=0 0=-3/-2x+1/2 3/2x=1/2 X=1/3 (1/3,0) (ii) What is the y-intercept? 2y=-3x+1 At y intercept x=0 Hence 2y=1 Y=1/2 (0, 1/2) (d) Plot the two points given in part (a), and draw a line through them. Use this plot to check that your answers to parts (a), (b) and (c) are sensible. Either a hand-drawn graph or a computer-generated graph is...

- Words: 1100
- Pages: 4

algebra proved overwhelming and pretty difficult to solve. I was thrilled with the idea of mixing numbers with alphabets, and biological science is one area full of calculations. My passion for practical lessons and experiments has made Science area of admiration. I would be fascinated to handle specimens and learn the dichotomy of living organisms. I hope, by learning the essentials of the STEM in class would prepare me adequately to face real-life situations and address critical issues associated with nutrition, growth reproduction, environmental protection and human health. Being trained in a STEM field presents a good opportunity for to provide answers to multiple issues in the everyday...

- Words: 825
- Pages: 3

Algebra 2 Radicals and Complex Numbers Name Institutional affiliationDate Simplify the expression. Show your work. Solution: 4x23y is the same as 4*√x23y= 2x3ySimplify the expression. Show your work. Solution: Opening the brackets; 3*1+3*5i-4i*1 -4i*5i-2-iCollecting like terms; 3+15i-4i-20i2-2-i3+11i-20i2-2+i 1+12i-20i2The formula represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equation for b. Show your work. Solution: Finding the square of both sides gives: c2= a2+b2b2= c2- a2Now find the square roots in both sides. Therefore, b...

- Words: 275
- Pages: 1

algebra, statistics, probability theory, operational research, and epidemiology etcetera. I loved these units since they were quantitative and involved logistics; areas which I could genuinely comprehend. I managed to attain the second highest grade in calculus in my class despite the fact that the exam was so tough that half the class did not make the pass mark. While units like management, organizational behavior, and policy were relatively familiar with the culture and politics of China, I found these courses inane as I had more affinity to the math related majors. In the third year of my undergraduate study, we took a unit in economics. I found this course rather interesting. After class, I...

- Words: 825
- Pages: 3

Problem 1 Question 1The determination of the median height can be arrived at by taking the functional value of f (48). The value x should be substituted for 48. This should look like follows: F(48)= 3.1√(48)+19 =3.1(6.928)+19 =21.47+19 =40.5 Question 2 The calculation obtained above indicates a median height of 40.5 inches. However, the actual height is said to be 40.2 inches. The meaning of this analysis is that the model has overestimated the height by the difference of 40.5-40.2 which is 0.3 inches. Question 3 It is appropriate to determine the height of the girl during birth, considered as month zero. Once this has been achieved, it is good to substitute 0 in place of x. The function looks like...

Algebra Question 1) F(x) = -x2-4x +3For x= -2 then the f(x) = -(-2)2-4(-2)+3=7Question 2) 3(x-2)=-4(x+8)+103x-6= -4x-32+107x=-16X=-167Question 3) F(x) = xx-4All values would be real except when the value of x=4 hence the domain is D: allR: x≠4Question 4 Slope (m) = -3/7, y-intercept(c) =-4Y=mx+cHence, y=-37x -4Question 5 Slope(m) = -2, passes through (-1,6) hence the y intercept is Taking a point (x,y) where the line passes then Gradient is ∆y/∆x = y-6x-(-1)=-2y-6x+1=-2Hence y=-2x+4Question 6 (2x-7)(x+4)=02x(x+4)-7(x+4)=02x(x+4)=7(x+4)2x2+8x=7x+28 hence 2x2+x-28=0Using the factor method the values of X=7/2 , -4Question 7 Vertex f(x) =3x2-6x+8f(x) = a(x - h)2 + k, where (h, k) is the vertex...