Answer:
We conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.
Therefore, the solution to f(x) = g(x) is:
Step-by-step explanation:
Given the table
x f(x) = 2ˣ - 1 g(x) = 1/2x
-2 -3/4 -1
-1 -1/2 -1/2
0 0 0
1 1 1/2
2 3 1
If we carefully observe, we can determine that
at x = 0, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.
In other words,
at x = 0
Thus,
at x = 0
f(x) = g(x)
Also at x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.
In other words,
at x = -1
Thus,
at x = -1
f(x) = g(x)
Summary:
Thus, we conclude that at x = 0 and x = -1, the value of f(x) = 2ˣ - 1 and g(x) = 1/2x is the same.
Therefore, the solution to f(x) = g(x) is:
Answer:
y = -2x^2 - 4x - 1
Step-by-step explanation:
We can see that the graph passes through (-2, -1), (-1, 1) and (0, -1).
Let's solve
ax^2 + bx + c = y
a(-2)^2 + b(-2) + c = -1
4a - 2b + c = -1
a(-1)^2 + b(-1) + c = 1
a - b + c = 1
a0^2 + b0 + c = -1
c = -1
we got c = -1 so we input it into the other 2
4a - 2b - 1 = -1
4a - 2b = 0
2a - b = 0
2a = b
a - b - 1 = 1
a - b = 2
a = b + 2
Let's input b = 2a
a = 2a + 2
-a = 2
a = -2
b = 2a = 2*(-2) = -4
c = -1
y = -2x^2 - 4x - 1
Answer:
C. 
Step-by-step explanation:
Let 
, 
and 
. From statement we know that 
, which is equivalent to the following linear algebraic formula:
![B(x,y) -A(x,y) = \frac{1}{2}\cdot [C(x,y)-B(x,y)]](https://tex.z-dn.net/?f=B%28x%2Cy%29%20-A%28x%2Cy%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%5BC%28x%2Cy%29-B%28x%2Cy%29%5D)
(1)
(2)
Then, the coordinates of point B on AC are:
Which means that correct answer is C.
Answer:
30 people
Step-by-step explanation:
100 people to the survey. And the question is practically asking how many people are left. So we have to subtract 60 from 100. And then subtract 10.
1.) 100 - 60 = 40
2.) 40 - 10 = 30
Hope this helps you out! : )
It would be 117,045. 117,045/ 2295= 51
