-3/2 -25 Simplify each expression. Write your answers with positive exponents. Assume that all variables represent positive real numbers.
Find all real or imaginary solutions to the equation. x-1 2x - 3 ---- = ------- x+2 x+4
Graph the equation: y=-3|x+5|+3
The stabilization ratio (births/deaths) for South and Central America can be modeled by the formula y = -0.0012x^2 + 0.074x + 2.69 where y is the number of births divided by the number of deaths in the year 1950 + x a) use a graph to estimate the year in which the stabilization ratio was at its maximum. b) use the formula to
Find all real or imaginary solutions to each equation. Use any method to solve. x^2 = -121 keywords: complex
A colony of 1000 bacteria is introduced to a growth-inhibiting environment and grows according to the formula n = 1000 + 50t + t^2 How many bacteria are present after 3 hours?
Solve for t. Where t is a real number. Divide with commas, if there is more than one solution. principle square root t + 19=4
Evaluate. b=-2 and c=3 -8 b+c
2 ( x ^-3 * --- )^ 1/2 z 3
2 4 -------= ----------+ 3 u+2 3 u+6
I have been tasked with solving y'' - 3y^2 =0 using the technique used substituting v for y', therefore substituting v dv/dy for y''. (Equation with "x" missing) I broke it down as follows Y'' -3y^2 =0 Y'' =3y^2 Substituting I get v dv/dy = 3y^2 Separating variables, I get v dv =3y^2dy Integrating I get 1/2v^2 +c = y^3 +c
Anne is pulling on a 60 foot rope attached to the top of a 48 foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
Perform the operation. Write answer in the form a + bi 6 + principle square root -18 --------------------------------- 3 NOTE: I'm unsure how to graph the symbol for principle square root. I hope this makes sense.
4w - 1 w - 1 w - 1 ------- - --------- = -------- 3w + 6 3 w + 2
A wholesaler prices the best latex flat paint at _15x_ x - 1 dollars per gallon where x is the number of gallons ( x > 1). The more you buy, the lower the price will be per gallon. As you buy more and more gallons, what price per gallon does the paint approach?
Solve the following equation for x . Write the answer as a fraction in simplest form. -7 (x-8) = 5x + 3 + 5 (-6x + 4)
Solve the equation for z - 3/z + 8 = -8
(See attached file for full problem description) 1. Find the sum of the finite geometric series to three decimal places. 9 n Σ - 3(0.5) n=3 2. Write the first 5 terms of the specified sequence. Determine whether the sequence is arithmetic. If it is, find the common differenc
30^9 x^8 and 6u^3 x^4 z^3 keywords: least common factors
Consider the system of equations listed below: X+3(y-1)=11 2(x-y)+8y=28 Now use the method of substitution to solve.
Please use the substitution method for the following system of equations: 3x-6y=5 2y=4x-6 Make sure to show all steps.
3 - 1/2|1/2x-4| + 2
Explain how subtracting [4w/(w^2-8w+150]-[6/w-3)] is similar and different to substracting 4/5 - 2/15. Show all steps in both addition problems.
Given a line containing the points (1,4), (2,7), and (3,10) determine the slope-intercept form of the equation, and graph the function. Give the domain and range as defined by the points, and also the domain and range of the entire function.
Show and explain. Multiply the equations by the LCD. [13/(4x)]+[3/x^2]=5/(2x)
Attached are the questions 1. Complete table for savings in which interest is compounded continously. 2. Complete table for radioactive isotope 3. The population of P of a city is given by P= 105300 e^0.015t, where t represents the year with t=0 corresponding to 2000. Sketch the graph of this equation. According to this
(iv) Prove that the conjugacy classes in A5 have sizes 1, 12, 12, 15, and 20.
2.99 (iii) Show that there are two conjugacy classes of 5-cycles in A5, each of which has 12 elements.
8. Find all solutions to the quadratic congruences, if they exist. (a) x2 + x + 1 ≡ 0 (mod 7). (b) x2 ≡ 55 (mod 179)