Step-by-step explanation:
Firstly, there's a typing error at (x=1)². I assume it is (x-1)². If my assumption is correct,then:
x²-2x+1-4x=x²-2x+1
x²-6x+1-x²+2x-1=0
-4x=0
x=0
Answer:
∴35.97 mg caffeine would be left in the system after 5 hours.
Step-by-step explanation:
Given that,
A cup of coffee has approximately 310 mg of caffeine.
Caffeine decrease at a rate 35% per hour.
Exponential Function:
y(t)= Amount caffeine after t hours
= Initial amount of caffeine
r= rate of decrease
t = Time in hour.
Here y(t)=?, = 310 mg, r=35%=0.35, t= 5 hours
=35.97 mg
∴35.97 mg caffeine would be left in the system after 5 hours.
Answer:
D. y ≥ 2x – 2
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
≥
2
x
+
2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
≥
−
2
x
+
2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
≤
2
x
−
2
Graph the inequality by finding the boundary line, then shading the appropriate area.
y
≥
2
x
−
2
You're correct, the answer is C.
Given any function of the form
, then the derivative of y with respect to x (
) is written as:
In which
is any constant, this is called the power rule for differentiation.
For this example we have
, first lets get rid of the quotient and write the expression in the form
:
Now we can directly apply the rule stated at the beginning (in which
):
Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).
A is the answer because u have to shift up two units and move it right 8 units