Answer:
A = 25.758 m²
Step-by-step explanation:
Width of the sand pit, b = 2.7 m
Length of the sand pit, l = 9.54 m
We want to cover the sand pit with a piece of plastic. We need to find how many square meters of plastic will be needed to cover the sand pit. It is equal to the area of sand pit. It is in the shape of rectangle. Its area is given by :
A = l × b
A = 2.7 × 9.54
A = 25.758 m²
So, 25.758 m² of plastic will be needed to cover the sand pit.
Step-by-step explanation:
As
- The graph of the function passes through the point (2,1), and
- y increases by 4 when x increases by 1.
so
x y
2 1
3 5
4 9
5 13
6 17
and so on
From the table:
As the slope-intercept form of the line is
putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.
So putting and in the slope-intercept form of the line
Therefore, the equation for the linear function will be:
Answer:
b(2,-2)
Step-by-step explanation:
x= 2 and y=-2
let me know if you want further eplanation
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
X
--- × 56 =18
100
56x = 18×100
× = 18 × 100
- - - - - - -
56
X = 32.14%