Answer:
The rate of change of the function is -5.
Step-by-step explanation:
Given : Function
To find : What is the average rate of change ?
Solution :
Function
The rate of change is the first derivative.
Derivate w.r.t. x,
Therefore, The rate of change of the function is -5.
Use this systems of equations to solve:
x = first antifreeze
y = second antifreeze
Isolate y.
x + y = 15
Subtract x from both sides.
y = -x + 15
Substitute y into the other equation.
.2x + .12(-x + 15) = .18(15)
Simplify.
.2x - .12x + 1.8 = 2.7
Subtract 1.8 from both sides.
.08x = .9
Divide both sides by .08
x = 11.25
Substitute x in the equation that we isolated y in.
y = -11.25 + 15
y = 3.75
11.25 L of the first antifreeze and 3.75 L of the second.
Answer:
The answer is 80
Step-by-step explanation: <u><em>You can trust me ok?:)</em></u>
Answer:
$365,400
Step-by-step explanation:
If their budget is $5,060 this year and its $1,000 higher, than we can say that last year was $4060. Next, we look at the 11%. Their entertainment is 11% of the total budget. This means the rest of the budget is 89%. Multiply $4,060 by 89 which gets you $361,340. Add this with the $4060 (the 11% left) and it's $365,400. (I'm not sure if my math is 100% correct, but I know these are the proper steps.)
Answer:
<em>z </em>= 9
Step-by-step explanation:
ln 63 = ln z + ln 7
We have the formula:
ln A + ln B = ln AB
So, ln 63 = ln 7<em>z</em>
7<em>z </em>= 63
Divide both sides by 7.
<em>z</em> = 9