Answer:
The value of k is -7
Step-by-step explanation:
We are given the graph of f(x) and g(x). If g(x)=f(x)+k
If we shift f(x) k unit vertical get g(x).
If k>0 then shift up
If k<0 then shift down.
f(x) and g(x) are both parabola curve.
First we find the vertex of f(x) and g(x)
Vertex of f(x) = (3,1)
Vertex of g(x) = (3,-6)
We can see change in y co-ordinate only.
f(x) shift 7 unit down to get g(x)
g(x)=f(x)-7
Therefore, The value of k is -7
4200
Step-by-step explanation:
10 × 150 = 1500
18 × 150 = 2700
So
1500 + 2700 = 4200
<h3>Answer: Since the independent variable x is not the exponent, y = 3x^3 is <u>not</u> an exponential function (choice D)</h3>
Exponential functions are something like y = 2^x where the variable is in the exponent (ie the exponent isnt a fixed number). What is given here, y = 3x^3, is a cubic function. You can also call this a power function. Power functions are of the form a*x^b, where a & b are constants.
<span>3 times the sum of b and f can also be written as </span>
9514 1404 393
Answer:
- 34.6574 years
- 34 years, 239.94 days
Step-by-step explanation:
For continuous compounding the "rule of 69" applies. That is the doubling time can be found from ...
t = 69.3147/r . . . . where r is the interest rate in percent.
Here, r=2, so ...
t = 69.3147/2 = 34.6574 . . . years
That's 34 years and 240 days.
