Answer:
Step-by-step explanation:
The ratio of its areas is equal to
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
In this problem the scale factor is equal to the ratio 10:3
Let
z-------> the scale factor
so
z2=(10/3)2=100/9
Answer:
When we have a function f(x), the domain of the function is the set of all the inputs that "work" (Not only in a mathematical way, the context is also important) with the function f(x)
In this case, we have a function M(p) = $2*p
This function represents the amount of money collected depending on the number of people who ride on the ferris whell.
Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).
And we also know that the maximum capacity of the ferris is 64 people.
Then:
p ≤ 64
And we also should add the restriction:
0 ≤ p ≤ 64
(Because p can't be smaller than zero)
Such that p should also be an integer, then, the domain is:
D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}
Answer:
f(-3) = g(-3)
Step-by-step explanation:
Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).
In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.
First option for example: f(-3) = g(4)
<em>Value of "y" for f(x) when x = -3:</em>
On the blue line, when x = -3, y = -4.
<em>Value of "y" for g(x) when x = 4:</em>
On the red line, when x = 4, y = -3.
<u>Therefore</u>:
f(-3) = g(4)
-4 = -3 <= This is false.
In the third option: f(-3) = g(-3)
<em>On f(x) blue, when x = -3: </em>y = -4
<em>On g(x) red, when x = -3: </em>y = -4
<u>Therefore</u>:
f(-3) = g(-3)
-4 = -4 <= This is true.
Answer:
The inverse of 
is 
Step-by-step explanation:
Given equation :
Replace x with y and y with x
So, 
So, Option C is correct
Hence The inverse of is
X < -3. Subtract one from both sides and you get x + 8 over 5 is less than 1. Multiple both sides by 5 and you get x + 8 is less than 5. Finally, subtract 8 from both sides and you get x is less than -3.
