Algebra Answers

Use the Upper and Lower Bounds Theorem to show that the real zeros of

(i) P (x) = 7x^8-2x^5+x^2-2 lie between −1 and 1.

find the middle term (2c - 12𝑑)10

2.1. The following is a recipe for making 18 scones: 1 cup white sugar, cup butter, 2 teaspoons vanilla essence, 1 cups flour, 2 eggs, 1 teaspoons baking powder, cup of milk. On your birthday you decide to use this recipe to make scones for the staff at your school. How would you adjust the recipe so that you can make 60 scones?                                      

How does the graph of y=3x^2 differ from the graph of y= -x^2?A: The graph of y= 3x^2 opens upward and is narrower.B: The graph of y= 3x^2 opens upward and is winder.C: The graph of y= 3x^2 opens downward and is narrower.D: The graph of y= 3x^2 opens downward and is wider.

A research engineer has to produce nozzles with a maximum aperture diameter of 200.5mm and a minimum diameter of 60 mm and with 4 intermediate diameters such that they form a linear progression for a fluids test rig. What are the diameters? Show your answers to one decimal place.

1) Without fully expanding (4a-b)7, determine the fifth term.

2) Find the middle term of (2c - 12𝑑)10

An engineer earns £21016 per annum and receives annual increments of 4%. Determine the salary in the 9th year and calculate the total earnings in the first 11 years.

Rhoda walked 4 Floors from the 10th floor and then took a lift to the 8th floor. How many floors did she go through while in the lift