Algebra Answers

a new hybrid vehicle gets 45 miles per gallon of gas , for highway driving . The tank holds 15 gallons of gas. How many highway miles can the hybrid vehicle travel on one tank of gas?

There are 3500 species of bees and more than 600,000 species of insects. What is the minimum numbe

of species of insects are not bees?

Use row reduction algorithm to solve the following system of equations.

x1 − 7x2 + 6x4 = 5

x3 − 2x4 = −3

−x1 + 7x2 − 4x3 + 2x4 = 7

Consider the polynomial f(x) = x

5 − 34x

3 + 29x

2 + 212x − 300.

(a) Find upperbounds and lowerbounds for the real roots of f(x).

(b) What are the possible integral roots of f(x)?

(c) Illustrate synthetic division by showing that one of the integers obtained in (b)

is/isn’t a root of f(x).

(d) Illustrate Newton’s method by showing that one of the integers obtained in (b)

is/isn’t a root of f(x)

y=ax²+bx-c ,make a the subject of the formula

Hence,write down the equation with y as subject(in term of x)to represent the production cost.[the value of a,b and c must be indicated]

Let T be a tree of order n. Show that the size of the complement T^- of T is the same as the size of K_n-1.

Is this correct:2a²b-ab-a=ab(2a-1)-a

Write down an equation to represent the production A, X, B, C

Determine the cost if labour amounts to 1245,with an equipment renting fee of R250,to produce 5 devices