Answer:
-2 and 1/6
Step-by-step explanation:
you would first make both mixed numbers into improper fractions( 31/6-22/3). the you would find a common denomonator for both. (which is 6) then you solve.(31/6-44/6) and you get -13/6. then you can change it back to a mixed number -2 and 1/6
Answer:
She travel 6.6 ft/sec
Step-by-step explanation:
Jenna runs 5 miles everyday.
She averages 4.5 miles per hour
Now we are supposed to find How many ft/sec does she travel
1 mile =5280 feet
1 hour = 3600 seconds
Now convert the given speed in feet per second using conversion
So, speed in feet/sec=
So, speed in feet/sec=6.6 ft/sec
So, She travel 6.6 ft/sec
F(x) = x² - 81
Finding f⁻¹(x) the inverse function
Let y = f(x) and solve for x.
y = x² - 81
y + 81 = x²
x² = y + 81
x = √(y + 81)
Recall f(x) = y, that means x = f⁻¹(y)
x = √(y + 81)
f⁻¹(y) = √(y + 81)
Therefore f⁻¹(x) = √(x + 81)
SOLUTION:
a ) Write an equation in standard form that models your earnings.
8x + 6y = $114
b ) You worked 10 hours as a hair washer. How many hours did you work as a host?
8x + 6y = $114
8x + 6 ( 10 ) = 114
8x + 60 = 114
8x = 114 - 60
8x = 54
x = 54 / 8
x = 27 / 4 hours
x = 6.75 hours
x = 6 hours and 45 minutes
To apply the quadratic formula, the right side must be equal to 0.

Now you can apply the quadratic formula

to find the solution for w.

(The quadratic formula is highly unnecessary in this problem, however. You could easily divide all values by 2 to get w²-14w+49=0, which factors into (w-7)²=0, for which 7 is the only solution which puts a factor of the quadratic equal to 0.)