Answer:
The answer is D
Step-by-step explanation:
Plug any x value for the y values of f(x) and g(x)
Let's do 0 since it is easier.
f(x)=-2(0)-4=-4
g(x)=-2(0)+2=2
So, g(x) is 6 greater than f(x).
Thus, g is most likely moved 6 units up from f.
Graph the 2 functions on Desmos for a better picture.
Answer:
Step-by-step explanation:
Circle is centred at (0, -2)
-> h = 0 & k = - 2
radius of the circle (r) = y-coordinate of the center = - 2
Equation of circle in standard form is given as:
Plugging the values of h, k and r in the above equation, we find:
![(x-0)^2 +[y-(-2)]^2 = (-2)^2](https://tex.z-dn.net/?f=%28x-0%29%5E2%20%2B%5By-%28-2%29%5D%5E2%20%3D%20%28-2%29%5E2)
This is the required equation of circle.
Answer:
Step-by-step explanation:
The sum of the angle measures of a triangle is 180°. Find the value of x . Then find the angle measures of the triangle.
find the value of x
x + 2x + x + 8 = 180
4x = 180 - 8
4x = 172
x = 172 : 4
x = 43
find angles
2x = 43 * 2
2x = 86°
-------
x = 43°
--------
x + 8 = 43 + 8
x = 51°
-----------------------
check
86 + 43 + 51 = 180°
the answer is good
Your salary in x years is modeled an the exponential growth
The equation that determines your salary in x years is y = 45000(1.05)^x
<h3>How to model the salary growth?</h3>
The model of the exponential growth is given as:
y = a(1 + r)^x
From the question, we have:
Initial salary, a = 45000
Raise, r = 5%
So, the equation becomes
y = 45000(1 + 5%)^x
Evaluate the sum
y = 45000(1.05)^x
Hence, the equation that determines your salary in x years is y = 45000(1.05)^x
Read more about exponential functions at:
brainly.com/question/11464095
A integer that is divisible by 2 can be -2,-4,-6,4,2,6 or something else, but these are simpler.
