Answer:
The trestle meets ground level at 0.9 units and 9.1 units
Step-by-step explanation:
∵ -x² + 10x - 8 = 0 ⇒ × (-1)
∴ x² - 10x + 8 = 0
∵ 10x/2 = 5x ⇒ (x) × (5) ⇒ square x is x² and square 5 is 25
By using completing square form
∴ (x² - 10x + 25) - 25 + 8 = 0
∴ (x - 5)² - 17 = 0
∴ (x - 5)² = 17 ⇒ take square root for both sides
∴ x - 5 = -√17 ⇒ x = -√17 + 5 = 0.9
∴ x - 5 = √17 ⇒ x = √17 + 5 = 9.1
∴ The trestle meets ground level at x = 0.9 and x = 9.1
Answer:
{x | x R, x > -5}
Step-by-step explanation:
Given:

Add 5 both sides, we get

Therefore, the solution is
where, x is a real number.
So, {x | x R, x > -5} is the correct answer.
First, change the fraction (decimal and percent) into gallon
Martha used 17% of the total oil, that means
Martha = 17% × 8 gallons
Martha = 0.17 × 8 gallons
Martha = 1.36 gallons
Brett used 0.18 of the total oil
Brett = 0.18 × 8 gallons
Brett = 1.44 gallons
Mike used 0.7 gallons
Second, compare the number of gallon they used
1.36
1 acts as ones
3 acts as tenths
6 acts as hundreths
1.44
1 acts as ones
4 acts as tenths
4 acts as hundreths
0.7 or 0.70
0 acts as ones
7 acts as tenths
0 acts as hundreths
Compare the ones, 1.44 and 1.36 both have 1 as the ones, however 0.7 has 0 as ones. Because 1 is greater than 0, 1.44 and 1.36 are greater than 0.7.
Now compare the tenth, 1.44 has 4 as the tenths, and 1.36 has 3 as the tenths. Because 4 is greater than 3, 1.44 is greater than 1.36.
1.44 > 1.36 > 0.7
Brett > Martha > Mike
Brett used the greatest amount of oil
Step-by-step explanation:
5, 5, 8, 16, 17, 18
the mode = 5
the median = (8+16)/2 = 24/2 = 12