Other Math Answers

d). Solve for x in the following polynomials
(i). f(x) = 3x4 + 2x3 – 15x2 + 12x – 6
(ii). 2x4 + 3x3 – 13x2 – 6x + 8 = 0

Using High-Low to Calculate Fixed Cost, Calculate the Variable Rate, and Construct a Cost Function

Pizza Vesuvio makes specialty pizzas. Data for the past 8 months were collected:

Month Labor Cost($) Employee Hours
January 9,490 460
February 7,000 530
March 7,531 560
April 8,140 420
May 9,787 490
June 8,490 390
July 11,868 630
August 7,500 350
Pizza Vesuvio's controller wants to calculate the fixed and variable costs associated with labor used in the restaurant.

In your calculations, round the variable rate per employee hour to the nearest cent. If required, round your final answers to the nearest cent.

Required:

1. Using the high-low method, calculate the fixed cost of labor.
$
915
2. Using the high-low method, calculate the variable rate.
$
17.39
per employee hour

3. Using the high-low method, construct the cost formula for total labor cost.

Total labor cost = $
915
+ ($
17.39
× Employee hours)

Which of the following pairs of statements are logically equivalent?

I. Statement 1: It is not true that either I watched 'Avengers' or you watched 'Justice League'.

Statement 2: I did not watch 'Avengers' and you watched 'Justice League'.

II. Statement 1: George tells you that he is an engineer and he studied in MIT.

Statement 2: If George is lying, then George is not an engineer or he did not study in MIT.

A. I only

B I and II

C. II only

D. Neither I nor II

A rational number is

Solution for x and y:
Y =× + 4 and
2
Y = 2×√2
+ 6× − 8
Classify the problem as either routine and non-routine based on the procedure and skills required to solve the
problems. Write brief notes to explain your classification of problems

two forces of magnitudes 6.0N and 4.0N act on 3.2 kg body. What is the acceleration produced produced when these forces are oppositely directed

The blind men and the elephant is a famous indian fable that tells the story of six blind sojourners that come across different parts of an elephant in their life
journeys. In turns each blind creates own version of reality from that limited experience and perspective. How you relate this story in the study of mathematics?

Ntsako walks to school each day at a constant pace of 75 m per minute.
The school is 1.8 km from his house.
1.2.1.1. Use a sketch or diagram to represent the problem. (2)
1.2.1.2. Solve the problem (3)
1.3. Use the concept of ratio to answer the following questions.
1.3.1. In week 1, Mpho deep cleans a paving at 4 m2 per hour. How long will it take her to deep clean
an area of 12 m long and 6 m wide? (3)
1.3.2. In week 2, Maria joins and each of them cleans 4 m2 per hour. How long will it take the two of
them to deep clean an area of 12 m long and 6m wide? (4)
1.3.3. In week 3, Lerato joins and each of them cleans 4 m2 per hour. How long will it take the three of
them to deep clean an area of 12 m long and 6 m wide? (4)
1.4. Calculate the following:
1.4.1. Which is the best price for washing powder? Motivate your answer.
 R45 for 2.5 kg
 R55.50 for 3 kg
 R72 for 4 kg (3)

Solve graphically and check your answer algebraically.
X – Y = 2
2X + Y = 2
7X – 5Y = 6