Question

The area of room A is (5x^2-7x-6)ft^2. Room B has an area of (8x^2+6x-1)ft^2. If room A is the larger room, how much greater is the area of room A than the area of room B?

Answer 1

In the expression –7x-5x^2+5, what is the coefficient of x?

Answer 2

Write the expression using a single exponent. 2^2 x 2^8

Answer 3

To find the difference in area between room A and room B, we need to subtract the area of room B from the area of room A:

(5x^2-7x-6)ft^2 - (8x^2+6x-1)ft^2

Simplifying, we can combine like terms:

= 5x^2 - 7x - 6 - 8x^2 - 6x + 1

= -3x^2 - 13x - 5

Therefore, the difference in area between room A and room B is (-3x^2 - 13x - 5)ft^2.

Answer 4

The coefficient of x is the number that appears directly in front of the x variable. In the expression –7x-5x^2+5, the coefficient of x is -7.

Answer 5

When we multiply two numbers with the same base, we add the exponents. Using this rule, we can simplify 2^2 x 2^8 as:

2^(2+8) = 2^10

Therefore, 2^2 x 2^8 can be simplified as 2^10.