Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
Take n = 1
Substitute 1 for n in
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
Answer:
Same sides
Step-by-step explanation:
When the sides are the same then the triangles are congruent. because they all have exactly the same sides. because the two triangles do not have exactly the same sides.
The maximum height is 144 feet.
The maximum height is the y-coordinate of the vertex. To find the vertex, we first use x = -b/2a. For our information, that is x=-64/2(-16) = -64/-32 = 2.
Now we substitute this into the equation:
y = -16(2²) + 64(2) + 80 = -64 + 128 + 80 = 144
Answer:
(2,4)
Step-by-step explanation:
the point where the lines intercept is the solution, so it is (2,4)
Each time x increases by 2 (eg: from x = -3 to x = -1), the value of y increases by 7 (eg: y = 9.5 to y = 16.5)
Change in y = 7
change in x = 2
Slope = (change in y)/(change in x) = 7/2 = 3.5
This all means that we have a linear equation
