Answer: umm wheres y at? after the Equal sign?
Step-by-step explanation:
Answer:
y = -.5x -.5
Step-by-step explanation:
All you do is plug in the x and y in the point to the equation, y = mx + b. Since the coordinate is (5, -3), this in the equation would look like -3 = -.5(5) +b. (all you need to find is the y-intercept, or b.) Solve it out to get -3 = -2.5 + b. Add 2.5 to each side of the equation, you're left with b = -.5. Now, put that back into the original equation, and get y = -.5x -.5. I think this is right, you can go back through and check once more if you'd like.
Answer:
<h2>absolute maximum = 16</h2><h2>absolute minimum = 1</h2>
Step-by-step explanation:
To get the absolute maximum and minimum values of the function f(x) = 16 + 2x − x² n the given interval [0,5], we need to get the values of f(x) at the end points. The end points are 0 and 5.
at x = 0;
f(0) = 16 + 2(0) − 0²
f(0) = 16
at the other end point i.e at x = 5;
f(5) = 16 + 2(5) − 5²
f(5) = 16 + 10-25
f(5)= 26-25
f(5) = 1
The absolute minimum value is 1 and occurs at x = 5
The absolute maximum value is 16 and occurs at x = 0
Answer:
It will take about 35.49 hours for the water to leak out of the barrel.
Step-by-step explanation:
Let 
be the depth of water in the barrel at time 
, where 
is measured in inches and in hours.
We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that
where 
is a constant of proportionality.
Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:
Multiply by 
Multiply by 
Take integral
Integrate
Isolate
We know that the water level starts at 36, this means 
. We use this information to find the value of 
.
At t = 1, y = 34
So our formula for the depth of water in the barrel is
To find the time, , at which all the water leaks out of the barrel, we solve the equation
Thus, it will take about 35.49 hours for the water to leak out of the barrel.
Answer:
$82.57
Step-by-step explanation:
The tip they leave is ...
$78.64 × 0.20 = $15.73
The amount of the discount is ...
$78.64 × 0.15 = $11.80
Then the total cost of the meal and tip is ...
meal price - discount + tip
$78.64 -11.80 +15.73 = $82.57
