Algebra Answers

Adequate knowledge of the content, coupled with the knowledge of the learners,

enables the teacher to plan and modify his/her teaching. Do you agree with

statement? Motivate.

f(t)= 1+0.12t, compute f(t) if t=2.

How many 5mb mp3 files can be stored on a 1gb flash drive?

1. Find the domain of the function 𝑓(𝑥)=ln(−2𝑥2−𝑥−6)+√𝑥2−1.

2. Find the inverse function of the function 𝑓(𝑥)=𝑥2−4𝑥+5,𝑥∈〈3,4⟩. Find the domain and the range of the inverse function.

3. Construct the tangent line to the graph of the function 𝑓(𝑥)=4𝑥⋅√𝑥−2⋅√𝑥 which is parallel to the line 𝑦=𝑥.

4. Find the maximal intervals of monotonicity of the function 𝑓(𝑥)=𝑒𝑥+3𝑥2+2𝑥+6.

5. Find the integral ∫6⋅𝑥3⋅𝑒𝑥2+2𝑑𝑥.

6. Find the general solution of the differential equation 𝑥2+1+𝑦′⋅cos(𝑦)=0. 

An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining after 20 minutes, to the nearest 10th of a gram?

Solve this system of equations and provide a graphical representation of the solution. (12)

x² + y² = 5

x + y = 1

Solve this system of equations.

(x + 1)² + (y + 1)² = 25,x + y = 5

1. Teaching long division of 357÷19 for instrumental understanding

2. Teaching long division of 357÷19 for relational understanding