Answer:
f'(x) = -6/x³
Step-by-step explanation:
We are given;
f(x) = 3/x²
Using quotient rule, we can write as;
f(x) = g(x)/h(x)
To find the derivative, from quotient rule, we can write;
f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²
g'(x) = 0
h'(x) = 2x
Thus;
f'(x) = [(x²*0) - (3*2x)]/(x²)²
f'(x) = -6x/x⁴ = -6/x³
f'(x) = -6/x³
Answer: (5a+b)/2
Step-by-step explanation:
1. First factor 5a^2+36ab+7b^2
=(5a+b)(a+7b)
2. Factor 2a+14b
The two can be factored out, making the equation equal to 2(a+7b).
The factored out equation is now 
Since there is an (a+7b) on both sides of the fraction, they cancel out. You are left with (5a+b)/2. This fraction cannot be simplified more.
To verify you can multiply (5a+b)/2 times (2a+14b). If it is correct, it should come back out as 5a^2 + 36ab +7b^2
Vertical angles are congruent so Angle 2 is 75 degrees.
Answer:
12.264
Step-by-step explanation:
* per would be saying the number of miles the van is running that day
.14 x 87.6
= 12.264
19/25 = x/100
Cross multiply:
1,900
Divide 1,900 by 25
Equals 76
Subtract 76 from 100
Answer: 24% change
I hope this helps!