Math Answers

is 6x+1 < (2x+4) + (4x-2) proposition?

01) Identify the X intercepts of this quadratic function y = 2x- x²

(02) Find the coordinates of maximum point of y = -4x + 8x – 2 by using equation y by using equetion method.

(03) Graph the quadratic function y = -3x +x+1 and you are required to answer the followings by using the graph:

(i) Coordinates of maximum point

(ii) Axis of symmetry

1. At ABC University, a group of students was selected and asked how much of their weekly allowance they spent in buying mobile phone load. The following is the list of amounts spent: Php 120, 110, 100, 200, 10, 90, 100,

100. Calculate the mean, the range, and the standard deviation.

Trishia Escodero has a certain amount of money in her bank account on Friday morning. During the day,she writes a check for $50,makes an ATM withdrawal of $100,and deposits a check for$150. At the end of the day,she sees that her balance is $500.50. How much money did she have in the bank at the beginning of the day?

Let {an} sequence is defined as a1=3, an+1=1/5(an)

converges to zero. Prove that

The average life of a bread-making machine is 7 years, with a standard deviation of 1 year. Assuming that the lives of these machines follow approximately a normal distribution, find the value of the sample mean to the right of which 15% of the means computed from random samples of size 9 would fall.

jorge wants to determine the enlarged dimensions of a digital photo to be used as wallpaper on his computer screen. The original photo was 800 pixels wide by 600 pixels high. The new photo will be 1,260 pixels wide. What will the new height be? 

460 pixels

945 pixels

1,680 pixels

1,860 pixels

 After 6 games played in a competition, Mavericks Football Club averaged 1.5 goals per game. How many goals would they have to score in the seventh game for that average to increase to 2 goals per game?

1) The extension, 𝑦, of a material with an applied force, 𝐹, is given by

𝒚 = 𝒆 𝑭×(𝟏×𝟏𝟎−𝟑) .

a) Calculate the work done if the force increases from 100N to 500N using:

i) An analytical integration technique

ii) Simpsons Rule

[Note: the work done is given by the area under the curve]

b) Compare the two answers

c) Increase the number of values used for your numerical method and analyse any affect the size of numerical step has on the result

2) Use numerical integration and integral calculus to analyse the results of a complex engineering problem.

The work done by a mechanism is given by:

𝒚 = 𝒙 𝐜𝐨𝐬 𝒙

a) Use integration by parts to determine the area under the curve between the limits of x = 7 and x =5 and hence the work done.

b) Choose a suitable strip width and use Simpsons rule to determine the area under the curve and hence the work done.

c) Evaluate the answers for a and b. Does one method verify the results of the other?

Find the local and absolute extreme values of the function on the given interval. Also

specify the intervals where function is increasing or decreasing

𝑓(𝑥) = 𝑥 + 2𝑐𝑜𝑠𝑥