Answer:
x=13
Step-by-step explanation:
13-6=7
Then the 9
2(13)-19=7
7+7=14
14+9=23
Answer:
C. Yes; Point B prevents this function from being linear because (12, -16) would only satisfy a function with a variable rate of change.
Step-by-step explanation:
Point B is not on the line shown in the graph, so the function would have to be non-linear to include point B.
Answer:
There is a 25.14% probability that the order will not be met during a month.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean \mu and standard deviation , the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
.
The order will not be met if . So we find the pvalue of Z when , and subtract 1 by this value.
has a pvalue of 0.7486.
So there is a 1 - 0.7486 = 0.2514 = 25.14% probability that the order will not be met during a month.
Step OneFor convenience f(x) = y
y = -(1/2) sqrt(x + 3) Interchange x and y
x = -(1/2) sqrt(y + 3) Multiply both sides by -2
(-2x) = sqrt(y + 3) Square both sides
4x^2 = y + 3 Subtract 3 from both sides
4x^2 -3 = y
f-1(x) = 4x^2 - 3
GraphsThe original graph is in blue
The inverse is red.
Green Line y = x : explained below.
CommentInverses have a very strange property. It acts as a check.
If you perform the following operation
f-1(f(x)) you are left with x
In this case f-1[-1/2 sqrt(x + 3)]= 4(-1/2 * sqrt(x + 3))^2 - 3
f-1 (-1/2sqrt(x+3)) = 4 (1/4 (x+3) - 3
f-1(-1/2sqrt(x + 3)) = x+ 3 - 3 = x
I've included this because I think you have to put the same restriction on f-1(x) as you do on f(x) which is that for f(x) x ≥ -3
This last assertion could be incorrect, but I don't think so.
The answer is f-1(x) = 4x^2 - 3 <<<<<
answer first box and
x≥-3 for the second box. <<<<<<
answer for the second box.Let me know if these are correct. I'm not sure about the restrictions.
Answer:
Step-by-step explanation:
According to pascal triangle, in order to expand the expression , the power of a will be reducing by 1 while the power of b will be increasing by until we reach the highest power n. after the expansion, then we fix the coefficients according to pascal triangle. The coefficient of the expansion varies depending on the power of the expansion.
For power of 0. the coefficient is 1
For power of 1. the coefficient is 1, 1
For power of 2. the coefficient is 1, 2, 1
For power of 3. the coefficient is 1, 3, 3, 1
For power of 4. the coefficient is 1,4, 6, 4, 1 and so on
Fixing the coefficient since the power is 4, we will use the coefficient 1,4,6,4,1 according to pascals to have;
This gives the required expansion