Answer:
x³ - 7x² + 4x + 30
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
x(x² - 2x - 6) - 5(x² - 2x - 6) ← distribute both parenthesis
= x³ - 2x² - 6x - 5x² + 10x + 30 ← collect like terms
= x³ - 7x² + 4x + 30
Answer:
8(y + 27) ≤ -15
Step-by-step explanation:
In the given inequality statement, "Eight times the sum of a number and 27 is <u>at most</u> "-15""
The first part, "Eight times the sum of a number and 27" means that 8 is multiplied to the sum of y and 27. While the phrase "at most" means "<u>less than or equal to</u> (≤)" The phrase also implies that the value of y can be -15, or any value less than -15.
Therefore, the correct algebraic expression is: 8(y + 27) ≤ -15
42 received an A
so 40-42 = 38 did not
the fraction would be 38/80, divide both numbers by 2
38/80 reduces to 19/40 did not receive an A
To solve for these, we will use formulas and convertions as we go.
For 1:
We are looking for kg (kilograms) to g (grams). 1 g = 0.001 kg.
We have 2.5 kg. This means we must multiply 2.5 by 1,000.
2.5 x 1,000 = 2,500.
1.) is 2,500 grams.
For 2:
This problem has multiple steps, but we will successfully solve it. As of now, we have yards. There are 3 feet in a yard, and 12 inches in 1 ft. We will convert yards to feet, and then feet to inches.
500x3 = 1500, 1500 x 12 = 18,000.
2.) is 18,000 inches.
For 3:
There are 2,000 pounds in 1 ton. Using this, we can determine how many tons we have.
7,000/2,000 = 3.5
3.) is 3.5 tons.
I hope this helps!
