The probability would be 4/6 but if it is a simplified answer then you would get 2/3.
Answer:
A.
x < -3/2 or x > 48/5
Step-by-step explanation:
12x + 7 < - 11
12x < -18
x < - 18/12
x < -3/2
Or
5x - 8 > 40
5x > 48
x > 48/5
Answer
x < -3/2 or x > 48/5
Solution:
Given equation: h = -0.5x² + x + 12
h = 0.5
-0.5x² + x + 12 = 0.5
-0.5x² + x + 11.5 = 0
Find the roots of quadratic equation.
x = ((-b )+- √(b² - 4ac))/2a
= ((-1 )+- √(1² - 4*(-0.5)*(11.5)))/2(1)
= -3.9, 5.9
The distance will not be negative.
Hence, the distance is 5.9.
The slope is 7 and the y intercept is (0,1/2):)
In the given problem there are several known and important facts to take note of. Firstly the restaurant bill without tax and tips is $28.35. Then the tax of 6.25% needs to be added with the bill. Also a tip of 20% on the original bill needs to be added to find the total cost.
Then tax on the restaurant bill = (6.25/100) * 28.35
= 1.77
So the tax on the restaurant bill is $1.77
Amount of tips given = 28.35 * (20/100)
= 5.67
Amount of tips paid is $5.67
Total cost paid in the restaurant = ( 28.35 + 1.77 + 5.67) dollars
= 35.79 dollars