The transformed function g(x) is:
g(x)=1/2(5x-3)+2
Step-by-step explanation:
The parent function is f(x)
It has been vertically compressed by a factor of one-half
if the function is vertically compressed then the function is multiplied by 1/2
Now, the function shifted to the left three units
It is horizontal shift, if g(x)=f(x-h) then function is shifted h units to the left
Lastly, the function is shifted up two units
It is vertical shift, if g(x)=f(x)+h, then graph is shifted up h units.
So, the transformed function g(x) is:
g(x)=1/2(5x-3)+2
Since options are not given, you can match the given options with the function g(x) above.
Keywords: Transformation
Learn more about Transformation at:
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It would be quadrant 4! (:
Good luck, Rockstar! I hope you pass, and I wish you the best!
what is the question? you just said how much they charge.
Answer:
year
Step-by-step explanation:
![A=P\left ( 1+R/100\right )^{T}](https://tex.z-dn.net/?f=A%3DP%5Cleft%20%28%201%2BR%2F100%5Cright%20%29%5E%7BT%7D)
![A=Amount ,P=Principle , R=Rate , T=Time](https://tex.z-dn.net/?f=A%3DAmount%20%2CP%3DPrinciple%20%2C%20R%3DRate%20%2C%20T%3DTime)
CI=compound interest
![CI=A-P](https://tex.z-dn.net/?f=CI%3DA-P)
for each a and b
account earn each year by a=![45\$](https://tex.z-dn.net/?f=45%5C%24)
account b earns
%
find the time the value of b is more
![45](https://tex.z-dn.net/?f=45%3C400%5Cleft%20%28%201%2B5%2F100%20%5Cright%20%29%5E%7BT%7D-400)
![445](https://tex.z-dn.net/?f=445%3C%5Cleft%20400%5Cleft%20%28%201%2B5%2F100%20%5Cright%20%29%5E%7BT%7D)
![445/400](https://tex.z-dn.net/?f=445%2F400%3C%5Cleft%20%28%2021%2F20%20%5Cright%20%29%5E%7BT%7D)
![\ln \left ( 445/400 \right )](https://tex.z-dn.net/?f=%5Cln%20%5Cleft%20%28%20445%2F400%20%5Cright%20%29%3CT%5Cln%20%5Cleft%20%28%2021%2F20%20%5Cright%20%29)
![.106609735](https://tex.z-dn.net/?f=.106609735%3C.0487901642%5Ctimes%20%20T)
![=2.1850](https://tex.z-dn.net/?f=%3D2.1850%3CT)
year
Answer: x = 75
Step-by-step explanation: The first thing to note is that what we have here is a quadrilateral. In other words, all the internal angles sum up to 360°. Also take note that the figure is a parallelogram, which means two sides are parallel to each other. Line AD is parallel to BC, and line DC is parallel to AB. That makes angle D equal to angle B (alternate angles), and angle A equals Angle C.
If the sum of the interior angles of a quadrilateral equals 360, then
x + (x + 30) + x + (x + 30) = 360
x + x + 30 + x + x + 30 = 360
Collecting like terms, we have
x + x + x + x + 30 + 30 = 360
4x + 60 = 360
Subtract 60 from both sides of the equation
4x = 300
Divide both sides of the equation by 4
x = 75.