Answer: false
Step-by-step explanation:
If f and g are increasing on I, this implies that f' > 0 on I and g' > 0 on I. That is both f' and g' have a positive slope. However,
Using product rule;
(fg)' = fd(g) + gd(f)
(fg)' = f * g' + f' * g
and although it is given that g' and f' are both positive we don't have any information about the sign of the values of the functions themselves(f and g). Therefore, if at least one of the functions has negative values there is the possibility that the derivative of the product will be negative. For example;
f = x, g = 5x on I = (-5, -2)
f' = 1 and g' =5 both greater than 0
f and g are both lines with positive slopes therefore they are increasing, but f * g = 5x^2 is decreasing on I.
<em>x = - 2.5</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>4 - (2x + 4) = 5</em>
<em>4 - 2x - 4 = 5</em>
<em>- 2x = 5</em>
<em>2x = - 5</em>
<em>x = - 5 : 2</em>
<em>x = - 2.5</em>
<em>Good luck !</em>
Answer:
<em>1 cm^2 : 9 m^2</em>
Step-by-step explanation:
The scale factor of an area is the square of the scale factor of a length.
The scale for lengths is 1 cm : 3 m.
You now square that scale to get the scale of the areas.
Scale of areas:
(1 cm)^2 : (3 m)^2
1 cm^2 : 9 m^2
Answer:
n = 6
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
