Given:
The given statement are:
a. Eight less than the product of seven and x.
b. The sum of six and the product of three and d.
To find:
The expression for the given statements.
Solution:
a.
Product of 7 and x is 7×x = 7x.
Eight less than the product of seven and x is 7x - 8.
Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.
b.
Product of 3 and d is 3×d = 3d.
The sum of six and the product of three and d is 6+3d.
Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.
Answer: Nick needs a cover that has a length of 24 feet.
Step-by-step explanation:
In order for Nick to be able to buy a proper cover for his pool for the winter months, he needs to find out the length of the pool based on the information he has about its dimensions. Nick knows that the pool is 384 square feet, and that the pool is 16 feet wide. That means that Nick needs to find out the length of the pool.
Nick has to do a very simple thing, he needs to divide the square meters of the pool with its width in order to get to its length:
384 / 16 = 24
So it turns out that the pool is 24 feet long, which means Nick has to buy a cover that will be at least 24 feet long and 16 feet wide in order to cover all of the pool.
<span>x^2 + 0x - 1 = 0
x^2 - 1 = 0
This is a difference of two squares which factors into the product of a sum and a difference with the pattern: a^2 - b^2 = (a + b)(a - b).
(x + 1)(x - 1) = 0
x + 1= 0 or x - 1 = 0
x = -1 or x = 1
Answer: There are two real solutions.</span>
