Step-by-step explanation:
the derivative of an inverse function is
1/f'(f^-1(x))
f'(x) = -6x²
f^-1(7) is solving the original function equation for x under the knowledge that y = 7
7 = 5 - 2x³
2 = -2x³
-1 = x³
=>
x = -1
f'(-1) = -6×(-1)² = -6×1 = -6
so,
(f^-1)'(7) = -1/6
Its radical 49 :) (by radical 7 means square root of 7)
First of all, let us change all the mixed number into improper fraction:
5 1/2=11/2
2 3/5=13/5
1 1/2=3/2
Area of the trapezoid=
1/2(b1+b2)×h
11/2=1/2(13/5+b2)×3/2
Divided 3/2 or multiply 2/3 for both side
11/2×2/3=1/2(13/5+b2)×3/2×2/3
11/3=1/2(13/5+b2)
Multiply 2 for both side
11/3×2=1/2(13/5+b2)×2
22/3=13/5+b2
Subtract 13/5 for both side
b2= 4 11/15. As a result, the length of other base is 4 11/15 feet. Hope it help!
We have that
<span>x - y = 4-------> multiply by -1-----> -x+y=-4-----> equation 1
x+ 2y = 4------> equation 2
add equation 1 and equation 2
-x+y=-4
x+2y=4
-----------------
0+3y=0-----> y=0
x+2y=4------> x+0=4------>x=4
the solution is the point (4,0)</span>
