Answer:
45units^2
Step-by-step explanation:
Break the polygon into two shapes. A rectangle and a triangle.
The area formula for a rectangle is A=L•W or
Area = Length x Width. Counting the units for length and width is 9 x 2. Which would equal 18units.
Now for the triangle, the formula is A=1/2 (b•h)
The base is 9 and Height is 6.
9 • 6 = 54
Since a triangle is half the area of a rectangle you divide 54 by 2. Area for triangle is 27.
Now add the rectangle area and triangle area.
18+27=45
Area=45 units ^2
Answer:
-1/3
Step-by-step explanation:
Week 1 : 1 customer tells 3 friends
Week 2: 3 new customers tell 9 friends
Week 3: 9 new customers tell 27 friends
If w represents number of weeks, then (C) represents the model appropriately. Let's see how:
Putting w = 1 , 2 and 3 in each of the options
(A) 3w: 3 for week 1, 6 for week 2, 9 for week 3 ⇒ INCORRECT
(B) w^3: 1 for week 1, 8 for week 2, 27 for week 3 ⇒ INCORRECT
(C) 3^w: 3 for week 1, 9 for week 2, 27 for week 3 ⇒ CORRECT
(D) 3w^3: 3 for week 1, 24 for week 2, 81 for week 3 ⇒ INCORRECT
Hence, the answer is (C)
the derivitive is just the slope
minimum happens when the derivitive goes from negative to positive, imagine a slope of the function, the minimum is where the slope goes from neative to positive, and to get there, it has to pass through 0
max happens when the derivitive goes from positive to negative
increaseing is when the derivitive is positive
so, based on what you said, the slope of f(x) is 0 at x=-3, x=1 and x=2 since those are where the derivitive is 0 (derivitive is just the slope)
A and B are wrong because the derivitive isn't 0 at those points
C is correct because increasing means that the derivitive is positive, and so therefo since the only hoirontal place in between 1 and 2 is 1.5, it must remain positive throughout and not dip down, C is right
D is wrong then
answer is C
Answer:
x=-3
Step-by-step explanation:
-4(-2x+5)-5x+5=-24
8x-20-5x+5=-24
3x-15=-24
3x=-9
x=-3
I hope that this helped you!
