Mathematics

When evaluating the limit (1/2 - 1/x) * (1/ (x-2)) as x→2, how's (1/2 - 1/x) simplified to (x-2)/(2x)

I get how to evaluate it by plugging in 1.999 to x for example, but my answer sheet shows a simpler way which I dont quite understand. Thanks.-(1/2 - 1/x) simplified to (x - 2)/2x by doing algebraic s

What is the answer to Maths Mate 7 term 3, sheet 4 ( cows and bulls )

Deduce the answer to the following game of cows and bulls! Reminder: cow - means right value but wrong position. Bull - means right value and right position. 751 - 1 cow and 1 bull 574 - 1 cow and 1

Factor: 6x^3 + 23x^2 - 6x - 8 ..step by step, best answer will be rewarded.

.. 6x^3 + 23x^2 - 6x - 8 = 6x^3 + ( 24 - 1 ) x^2 - ( 2 + 4 ) x - 8 = 6x^3 - x^2 + 24x^2 - 2x - 4x - 8 = (6x^3 - x^2 - 2x) + (24x^2 - 4x - 8) = x (6x^2 - x - 2) + 4 (6x^2 - x - 2) = (x + 4) (6x^2 -

Which functions are increasing over the domain

y=(1/2)^x y=10^x y=4^x http://my.hrw.com/math06_07/nsmedia/tool… For the function(s) that are increasing over the domain, is the “a” value > or For the function(s) that are decreasing over the dom

If n represents an even number, which expression represents the product of the next two even numbers

a. n^2 + 3n + 2 b. 2n + 3 c. 2n + 6 d. n^2 + 6n + 8 Im completely stuck here, so please explain how you got the answer? :) Thank you so much :) -Think about it, the next even number would be 2 after

Geometry help please? I need someone to EXPLAIN how to do this.

Use the Pythagorean Theorem to find the distance to the nearest tenth, between F(9, 5) and G(-2, 2). (Hint: Place F and G on the coordinate plane. Then sketch a triangle with FG as the hypotenuse.)-Ma

Please help me to solve this problem

Use mathematical induction to prove that sum(for j=1 to j sin(x/2) is not equal to 0. Thanks much!!!-∑(j=1,2,3...n) cos(jx)= cos([n+1]x/2)sin(nx/2)/sin(x/2). 1) n=1 ∑(j=1) cos(jx)= cos([1+1]x/2)sin(x

How much do you think XYZ will be worth in 18 days

Equation y=5.17 1.28x fits the graph of stock XYZ over the past month with an r-value of 0.9936. How much do you think XYZ will be worth at x=18 days? A.$993.60 B.$439.81 C.$180.16 D.$517.92-if the gr

If the ratio of 2x to 5y is 3 to 4, what is the ratio of x to y

Please show the full workings for this problem. The answer is 15 to 8, but I have been racking my brain on how to get it and I know it is NOT that hard. Thanks.-2x / 5y = 3 / 4 x / 5y = 3 / 8 x / y

From these equations, what are the four pairs of parallel lines

1) y=1/4+32) -4y=53) y= -x+84) -1/2x=1 5) 1/3y-1=06) 4y-x+8=07) x/3+y/3=1 8) 3x-10=0 Please show the steps. Thank You.-1 has a slope of 0 or 1/4, depending on whether you forgot to put x after (1/4)

What was the rate of change

Beginning of day, the sum of stocks in Dow Jones was $10,335.24. At the end of the day, the sum of the stocks in the Dow Jones was $10,215.78. What was the rate of change of Dow Jones on this particul

What is the future value of Jimmy's account?? HELP

Jimmy invests $150 each month for 6 months in a account that pays 8% APR compounded monthly. What is the future value of Jimmys account after 6 months? A.$1100.39 B.$987.65 C.$876.23 D.$915.18-D. $915

How much money total $1000

You find mutual fund that offers approximately 6% APR compounded monthly. How much will you need each month for the next yr in order to have $1000? A.$72.19 B.$63.75 C.$59.28 D.$81.06-D. $81.06 This

What is a "complete m-ary tree"

Im studying for a final exam, and I have a doubt: According to Gross (Graph Theory and its applications) A complete m-ary tree is an m-ary tree in which every internal vertex has exactly m children

What is the maximum value of y in (y= -3x^2-6x-1)

a. -2 b. -1 c. 1 d. 2 Please answer the question and explain how you got the answer :) -Lets differentiate like a boss Y=-6x-6 Where is this graph zero? 6=-6x X=-1 The maximum is at x=-1 -------->>