Algebra Answers

1.find the roots of the equation: z^4+4=0 and z^4-4=0.

2.additional exercises for practice are given below.find the roots of:

2.1.z^8-16=0.

2.2.z^8+16=0.

Consider the following sets, with U = N; that is, the universal set is the setof natural numbers:A = {x | x2 = 25}, B = {x | x = n2, 1 < n < 5} ,C = {1, 3, 5, 7, 9, 11, 13,...}Which of the following is equal to A ∪ C?
A. ∅B. {5}C. {−5, 5}D. Set C

Ecologists have long known that there is a relationship between the amount of precipitation a location receives and the number of trees that grow in the area. Suppose that the relationship between yearly rainfall R (x, measured in mm) and the amount of the ground covered by trees T (y, measured on a scale from 0 to 100) is represented by the linear model T=24.70 + 0.0211R, what is the amount of the ground covered by trees that receives 1230 mm of rainfall per year?

Task

a) Evaluate each of the following expressions: 

i. 3(4−3)2 

ii. 3(5−3)2 

iii. 3(8−3)2

 iv. 3(10−3)2

b) In the expressions above, what parts are always the same? What part changes?

c) We can write an expression to represent all of the expressions in a) above if we use a letter for the part that changes. Write an expression using the letter x that could represent all of the numeric expressions in a).

d) What value of x would make your expression evaluate to 507? 

A new car is purchased for 19900 dollars. The value of the car depreciates at 7.5% per year. What will the value of the car be, to the nearest cent, after 8 years?

briefly discuss any 3 challenges that learners might experience in learning addition and subtraction of common fractions.

Take a paragraph of about 100 words in English from any of your textbook . Frequency distribution table of the vowelsvowels paragraph and also draw a bar graph frequency distribution table.

Divide the following. 5,730,000 ÷ 300

Advise Mr. Smith on how the requirements of Grade 4 Patterns, Functions, and Algebra as opposed to Grade 6 Patterns, Functions, and Algebra differ.

If Let "\\begin{pmatrix}\n 2 & 1 \\\\\n 5 & 3\n\\end{pmatrix}\\begin{pmatrix}\n x \\\\\ny\n\\end{pmatrix} =\n\\begin{pmatrix}\n 2 \\\\\n 4\n\\end{pmatrix}",

Solve for x and y