Answer: The graph of f(x) will eventually exceed the graph of g(x).
Step-by-step explanation:
Given Functions are, f(x)= 0.05x
And, g(x)= 
Since, the y-intercept of function f(x) is (0,0)
While the y-intercept of g(x) is (0,1)
Therefore, Third and fourth options can not be correct.
Let
and 
Now, According to the below table we can say that for the different values of x, the value of f(x) is increasing while the values of g(x) is decreasing.
Therefore we can say that the growth of f(x) is greater than g(x) and eventually the graph of f(x) will exceed the graph of g(x).
Thus, Only Option Second is correct.
Answer:
Step-by-step explanation:
There is a scatter plot given and we hae to find the tables.
On the x axis, day of fund drive is marked and on y axis money raised is marked.
We find out the points from the graph as Ordered pairs
(1,200) (2,300) (3,200) (4,400) and (5,300)
The above can be represented in table form as
1 2 3 4 5
200 300 200 400 300
With a scatter plot a mark, usually a dot or small circle, represents a single data point. With one mark (point) for every data point a visual distribution of the data can be seen. Depending on how tightly the points cluster together, we can find the relationship between the two variables.
Answer:
Step-by-step explanation:
Area equation of the parallelogram
- A = bh, where b- base, h - height
Looking at the picture, we can see the right triangle is isosceles as one of interior angles is 45°. It has hypotenuse of 7 and legs of h.
As per property of 45° right triangle the hypotenuse is √2 times the leg.
It gives us
- h√2 = 7 ⇒ h = 7/√2 = 4.95 (rounded)
Now find the area
Answer:
56.88
Step-by-step explanation:
2 ways to do this
45.50 x 25% = 11.375
45.50 + 11.375 = 56.875
and that rounds to 56.88
for option 2 I recommend a calculater
45.50 + 25% = 56.875
56.88
Answer:
The perimeter of the Rectangle JKLM is 32 unit.
Step-by-step explanation:
Consider the provided coordinates.
Rectangle JKLM: J(-3, 8), K(-3,-1), L(4, -1), M(4,8)
First plot the points as shown in figure:
The required figure is shown below:
Now find the distance between JK by using the distance formula.


Therefore, the length of JK is 9 unit.
Now find the length of the side JM

Therefore, the length of JM is 7 unit.
The perimeter of rectangle is: 
Therefore,



Hence, the perimeter of the Rectangle JKLM is 32 unit.