Algebra Answers

The mass of a sphere, M, is directly proportional to r cubed, where r is the radius of the sphere in cm

When r = 10 cm, M = 200 grams.

Work out the mass of a sphere, made of the same material, with a radius of 15 cm

When x = 4, y = 1/2

Work out the value of y when x = 2

An element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?

Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid will receive.

 x = 

 x = 

 7 + x = 105

 x = 105 − 7

x+1/x=5, then find the value of x^16+1/x^16 ?

x+1/x=5, then find the value of x^16+1/x^16 ?

Fuji apples cost $3.00 per pound, and Golden Delicious apples cost $2.00 per pound. A childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.

Which value could replace x in the table?

30 – g + g

3(30 – g)

30 – g(3)

30 – g + 3

3 1/3 - 1 7/10

Answer the following problems.

2.) Determine the sum pf the real zeros of P(x) = 3x⁴ + 14x³ + 10x² - 14x + 3.

3.) Find μ so that x - 3 is a factor of  μx³ - 13x³ - μx - 3.

Use the Remainder Theorem to determine the remainder when P(x) is divided by D(x). Determine if D(x) is a factor of P(x).

1. P(x) = x³ - x² + x - 1; D(x) = x - 1
2. P(x) = 20x³ - 17x² + 6x - 26; D(x) = x + 1
3. P(x) = 2x³ - 5x + x² + 2; D(x) = x + 2
4. P(x) = 12x³ - 8x² + 4x - 3; D(x) = 2x - 1