G(-4)
=1/2((-4)-1)
=1/2(-5)
=-2.5
------------------------------
f(g(-4))
=f(-2.5)
=2(-2.5)+1
=-5+1
=-4
Answer:
70%
Step-by-step explanation:
Maths homework takes 1/6×150mins
=150/6=25 mins
science homework takes 20/100×150
=3000/100
=30mins
Language Arts homework uses 1/3×150
=150/3
=50 mins
percent of time left for Marsha's social studies homework=total time used / original time
=(25+30+50)mins
=105mins/150mins×100%
=0.7×100
=70%
Answer:
-2
Step-by-step explanation:
rise over run or, y2-y1/x2-x1
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
