We have $8.50 an hour gross minus $2.15 an hour tax and bennys. Then $3.75 daily expense. In one week our net take-away y after x hours is
y = x(8.50 - 2.15) - 5(3.75)
That's the answer, or we can simplify it to
Answer: y = 6.35 x - 18.75
Answer: The slope, 6.35, is the net dollars per hour <em>before weekly expenses.</em>
Answer: The y intercept, -18.75, is the weekly expense, negative because it's an expense.
To make $120 in a week, we solve for x where y=120
120 = 6.35x - 18.75
138.75 = 6.35 x
x = 138.75 / 6.35 = 21.8503937007874
That wasn't the nice round number I was expecting/hoping for. I don't see a mistake so let's go with
Answer: 21.85 hours to make $120
The answer to this question is y' = 10x^2 + 6. You have to use the power rule to bring the exponent down as a coefficient and then reduce the exponent by 1. Do it for all the terms using the sum rule for derivatives (derivative of a sum of the sum of its derivatives).
Answer:
The polynomial of the function degree '4'
x⁴ - x³ -46 x² -80x =0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given zeros are 0 ,-5,8,-2
x =0 , x=-5 ,x=8 and x=-2
(x-0) , ( x+5) , (x-8) and (x+2)
The polynomial function with degree '4'
(x-0)(x-(-5)(x-8)(x-(-2) =0
x ( x+5) (x-8) (x+2) =0
(x² +5x)(x-8)(x+2) =0
(x³ -8 x²+5x² -40 x)(x+2) =0
( x³ -3 x² - 40 x) (x +2) =0
x⁴ + 2 x³ - 3 x³- 6 x²-40 x²- 80 x =0
x⁴ - x³ -46 x² -80x =0
<u><em>Final answer:-</em></u>
The polynomial of the function degree '4'
x⁴ - x³ -46 x² -80x =0
Answer:
5/12
Step-by-step explanation:
The probability of rolling a number greater than 1 is 5/6, because 5 numbers on a 6-sided dice are greater than 1.
The probability of rolling an even number is 3/6, because 3 numbers on a 6-sided dice are even numbers.
