Answer:
Y=3
Step-by-step explanation:
-1= 1/2
1/2=-1
x=-1
y=3
Hope this helps!
P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
Question:
Expand and simplify 5(x - 1) - 3(x + 4)
Answer:
1.) Use the distributive property to solve this equation:
5(x - 1) = 5x - 5
3(x + 4) = 3x + 12
2.) Put it in the equation:
5x - 5 - 3x + 12
3.) Group them:
5x - 3x - 5 + 12
4.) Simplify:
2x - 7
which is the answer.
Hope this helped! :))
Answer:

Step-by-step explanation:
By definition, we can write ln instead of log. WHEN??
Whenever the base of the logarithm is the number "e".
Hence, when we have:

We can write it in shortcut as:

Hence, ln x can also be written as 
Fourth answer choice is right.
Answer:
The answer to your question is c = 
Step-by-step explanation:
Data
right triangle
short leg = 17 cm
long leg = 48 cm
hypotenuse = ?
Process
-Use the Pythagorean theorem to find the answer
c² = a² + b²
c = hypotenuse
a = short leg = 17 cm
b = long leg = 48 cm
- Substitution
c² = 17² + 48²
-Simplification
c² = 289 + 2304
c² = 2593
-Result
c = 