Answer:
20 degrees.
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.
Answer:
Option 4.
Step-by-step explanation:
The vertex form of a parabola is
... (1)
where, a is a constant (h,k) is vertex.
The given function is

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in equation.

g(x) is passes through (3, 6).
.... (2)


Divide both sides by 4.

Substitute a=1 in equation (2).


The function g(x) is
.
Therefor, the correct option is 4.
<h2>
Answer:</h2>
A.) Yes. The input and output are both possible.
<h2>Explanation:</h2>
In this problem, a dentist sees patients each day to clean their teeth. So we represent this function as
where:
x: Represents the number of people who saw the dentist.
g(x): Represents the number of teeth cleaned.
So we are given a point that is solution to our function, which is
but <em>what does this point represent? </em>This tells us that the dentist saw 20 patients and cleaned 20 teeth, that is, he cleaned an only teeth per patient. So this will make sense under the conditions that make it possible, for example, a volunteer dentist can see more people than a common dentist and it is likely that that volunteer person sees fewer teeth. However, it's very difficult that that dentist finds 20 people with an only tooth each. So this situation is possible, but not realistic in the real world.
Answer:
57
Step-by-step explanation: