Answer:
y = 60x + 20
Step-by-step explanation:
The number of hours that we ski is a variable cost where each hour costs $60. On top of that, we have a fixed cost of $20 which stays the same no matter how long we ski.
So we can use an equation to find the totla cost C given the number of hours t as follows:
C(t) = 60t + 20
We can use this equation to find the cost of a skiing session by plugging in some value for t. For example, if we ski for 3 hours:
C(3) = 60(3) + 20 = $200
The equation can also be written using x and y and mean the same thing.
Answer:
she has 3/4 of the material left or 75%
Answer:
Step-by-step explanation:
Solve this by using natural logs. Taking the natural log of both sides:
To undo the multiplication, we use addition:
The rule says we can now bring the exponent down in front of the ln:
Now we will subtract ln(7) from both sides:
(8x - 8)ln(16) = ln(3) - ln(7)
Now we will divide both sides by ln(16):
then add 8 to both sides:
which simplifies to
8x = 7.694401895 so
x = .9618002368 or, rounded,
x = .96
(Rest assured I did the math and checked the answer and it checked out perfectly!) I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)
Hello from MrBillDoesMath!
Answer:
x = ( -9 + sqrt(33) ) /4
and
x = ( -9 - sqrt(33) ) /4
Discussion:
Using the quadratic formula with a = 2, b = 9 and c = 6 gives
x = ( -b +\- sqrt(b^2-4ac) )/2a
x = ( -9 +\- sqrt(9^2 - 4*2*6)) / (2*2) =>
x = ( -9 +\- sqrt (81- 48)) / 4 =>
x = ( -9 +\- sqrt(33) ) /4
Thank you,
MrB
The domain, or the distance traveled, is all real numbers from 10 to 30, inclusive. the answer is A
