Answer:
Step-by-step explanation:
The given quadratic equation is
2x^2+3x-8 = 0
To find the roots of the equation. We will apply the general formula for quadratic equations
x = -b ± √b^2 - 4ac]/2a
from the equation,
a = 2
b = 3
c = -8
It becomes
x = [- 3 ± √3^2 - 4(2 × -8)]/2×2
x = - 3 ± √9 - 4(- 16)]/2×2
x = [- 3 ± √9 + 64]/2×2
x = [- 3 ± √73]/4
x = [- 3 ± 8.544]/4
x = (-3 + 8.544) /4 or x = (-3 - 8.544) / 4
x = 5.544/4 or - 11.544/4
x = 1.386 or x = - 2.886
The positive solution is 1.39 rounded up to the nearest hundredth
Answer:
$0
Step-by-step explanation:
A part-time landscaper made $8996.32 last year.
She claimed herself as an exemption for $3650 and had a $5700 standard deduction
Exemption means not subject to taxation.
Deduction means taking some amount of your income for the year, and not have to pay taxes on it.
So, 

Since Her income is lower than the exemption and the standard deduction.
So, her taxable income last year was $0.
Thus Option D is correct.
Answer:

Distance = 21 miles.
Step-by-step explanation:
Let x be the distance in miles between the airport and Ann's home.
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.
We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

Now let us solve our equation.



Therefore, the equation
represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.
Answer: $380.75x0.075=28.55625
28.55625+380.75=409.30625
$409.30625~$409.31
Answer: $409.31
Step-by-step explanation: