Given function is
now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into
so RHD= 
Now set both equal
k=-0.47
<u>Hence final answer is -0.47.</u>
Part A) Y cannot be described as a function of x, because in order to be a function, there can only be one input, the x value, for every output, f(x) or the y value. Since the x value, 16, generates two y values, -2 and 2, this cannot be called a function.
Part B)
<span>f(x) = 25x + 16
f(20)= 25(20) + 16
f(20) = 500 + 16
f(20) = 516
This is the total cost, in dollars, of renting the truck for 20 hours. </span>
Step-by-step explanation:
sin(2x) = 2sin(x)cos(x)
2sin(x)cos(x) - cos(x) = 0
so one solution is cos(x) = 0.
=> x = pi/2 and 3pi/2 (90° and 270°)
for cos(x) <> 0 we have then
2sin(x) - 1 = 0
2sin(x) = 1
sin(x) = 1/2
=> x = pi/6 and 5pi/6 (30° and 150°)
SOLUTION:
We are to find the rate of inflation in the given question;
The formula to be used is;
Inflation rate =
CONCLUSION
The inflation rate of CPI that increased from 208 to 221 to the nearest tenth of a percentage is 6.3%.
Answer:
10%
Step-by-step explanation:
In the image attached below, we can see that there are
8 tiles of letter O
2 tiles of letter V
This means that there are 10 total tiles of the letters that you want to get (O and V). Since there are a total of 100 tiles we need to divide this value by 100 to get the probability of getting one of these tiles.
10 / 100 = 0.10 or 10%
Finally, we can see that the probability of selecting a O or a V is 10%
