Proof with Step-by-step explanation:
Since it is given that f(x) is decreasing thus we infer that
Similarly it is given that g(x) is decreasing thus we infer that
Now let
Differentiating both sides with respect to 'x' and using chain rule of differentiation we get
Now since both f'(x) and g'(x) are both negative(<0) we can infer that their product is always positive (>0)
Thus fog(x) is an increasing function.
Answer:
2
Step-by-step explanation:
The best mechanical advantage you can get is obtained by pushing the door at its edge. If the door's center of mass is halfway from the hinge to the edge, then the advantage you get (in terms of force reduction) is ...
1/(1/2) = 2
Answer:
$67.90
Step-by-step explanation:
First lets calculate the subtotal, or the price before the coupon is added:
2(12)+1(28)+1(45)=97
Subtotal: $97.00
Okay Now lets apply the coupon, to do this we'll multiply the subtotal by 0.7 since the coupon removes 30% from the price and 1 - 0.3 = 0.7
97 * 0.7 = 67.9
Total: $67.90
Answer Choice D
Answer:
slope intercept form of the equation for these points would be y=2x-7
standard form of linear equations for this equation would be: -2x+y=-7
Step-by-step explanation: