Link: http://zh.scribd.com/doc/154487953/MAT117-Version-8-Week-7-Discussion-Question-2
Week 7 DQ 3
Explain the four-steps for solving quadratic equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to...
. You are free to omit this step in your work as an acceptable shortcut. If you are more comfortable showing the step, that’s fine, too.
Linear Equations: Solving with Basic Operations
51
STRICTLY DEFINED
Remember that solving an equation means finding the value of the variable that makes...
P;
4. use logarithms to solve equations of the form ax = b;
5. solve problems involving changing of the base of a logarithm.
CONTENT
(c) Indices and Logarithms
(i) Laws of indices, including negative and rational exponents.
ii) Laws of logarithms...
The operation of addition, subtraction, multiplication and division of rational
numbers are similar to that of integers and fractions which you have already
studied. We explain these through examples.
(i)
Addition
(a) Addition of rational numbers with same denominator.
Let two rational...
algorithm, elaborated by Bhaskara in 621 CE, is the standard method for solving first-order diophantine equations and is often referred to as the Aryabhata algorithm.[16] The diophantine equations are of interest in cryptology, and the RSA Conference, 2006, focused on the kuttaka method and earlier work...
, and dividing those factors by each of the factors of the leading coefficient, defined as q. (6.07)
11. What does Descartes’ Rule of Signs help you identify?
(6.07) possible positive real zeros and the number of negative real zeros
12. Describe the three main steps for solving a polynomial...
Europe) devised what is now known as "Alhazen's problem", which leads to an equation of the fourth degree, in his Book of Optics. While solving this problem, he performed an integration in order to find the volume of a paraboloid. Using mathematical induction, he was able to generalize his result for...
shirts and no white shirts are added. Five: No red shirts and 3 white shirts are added.
Students should explain in their own words: – – – – – – What the probability of 1 in Step One means What the probability of 1 in Step Two means 2 Why the probability of choosing a red shirt did not change in Step...
that correspond to a cost decrease of four times? Explain your answer as though you were talking to someone who has never taken algebra.
MAT 116 Week 2 DQ 2
What are the four steps for solving an equation? Should any other factors be accounted for when solving an equation? Should any factors...
? Explain your answer as though you were talking to someone who has never taken algebra.
MAT 116 Week 2 DQ 2
What are the four steps for solving an equation? Should any other factors be accounted for when solving an equation? Should any factors be accounted for when explaining how to solve an...
answer.Can you solve for a variable in an equation? Explain your answer.
MAT 116 Week 1 DQ 2
What are the steps of the order of operations?Why is it important that you follow the steps rather than solve the problem from left to right?Write an expression for your classmates to simplify using at...
Intermediate Algebra. It deals with systems of linear equations and inequalities, quadratic
equations, rational algebraic expressions, variation, integral exponents, radical expressions, and searching
for patterns in sequences (arithmetic, geometric, etc) as applied in real-life situations.
Third...
Number and Quantity: The Real Number System (N-RN)
Use properties of rational and irrational numbers
3. Explain why the sum or product of two rational numbers are rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational...
algebraically. As in the graphical approach just discussed, our goal is to find the point (T, B) that satisfies both billing equations simultaneously. As a first step, we rewrite the two billing equations, one on top of the other, as follows: B B 10 20 0.04T . 0.02T . (Plan 1) (Plan 2)
SOLVING SIMULTANEOUS...
a different positive integer, but the execution of steps is the same. Thus, it is necessary to explain what happens between Steps 3 and 4 to obtain a full appreciation of the method.
Example 1: Use Mathematical Induction to prove that n3 – n is divisible by 3, whenever n is a positive...
both
one-‐to-‐one
and
onto,
will
have
an
inverse
function
which
can
be
obtained
by
solving
a
quadratic
equation.
Example:
Use
the
function
f
:
A
→
B
given
by...
century
A cyclic Chakravala method for solving indeterminate equations of the form ax2 + bx + c = y. The solution to this equation was traditionally attributed to William Brouncker in 1657, though his method was more difficult than the chakravala method.
The first general method for finding the...
(y) can be found by solving the equation y = f (x) for x. (Step 1) Put y = f (x). (Step 2) Solve x in terms of y. The result will be in the form x = an expression in y. (Step 3) From the expression in y obtained in Step 2, the range of f can be determined. This is the domain of f −1 . The required...
Secondary stage primarily aims at enhancing the capacity of students to employ Mathematics
in solving day-to-day life problems and studying the subject as a separate discipline. It is expected that students should
acquire the ability to solve problems using algebraic methods and apply the knowledge...