Answer:
g-1(x) = 3(x + 7).
Domain is All Real values of x.
Range is All Real values of the function.
Step-by-step explanation:
Let y = 1/3 x - 7
1/3 x = y + 7
Multiply both sides by 3:
x = 3(y + 7)
So the inverse of g(x) = g-1(x) = 3(x + 7).
Domain is All Real values of x.
Range is All Real values of the function.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $2,500
Interest rate= 4%
Number of periods= 2 years
<u>First, we will determine the interest earned using the simple interest formula:</u>
I= P*r*t
I= 2,500*0.04*2
I=$200
<u>Now, using the compound interest formula:</u>
I= [P*(1 + r)^t] - P
r= 0.04/2= 0.02 (semi annual interest rate)
t=2*2= 4 semesters
I= [2,500*(1.02^4)] - 2,500
I= $206.08
The perimeter of the triangle is : 12.6.
This result is obtain by the use of triangle perimeter formula :
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Where : a is the distance between the points A and B
b is the distance between the points B and C
c is the distance between the points C and A
Answer:
Step-by-step explanation:
take 48 divided by 64 hope that helps
Answer:
(a) The p-value is 0.9554
(b) We cannot reject the null hypothesis at the significance level of 0.06
Step-by-step explanation:
We are dealing with a lower-tail alternative
. Because the test statistic is z = +1.7 which comes from a normal distribution, the p-value is the probability of getting a value as extreme as the already observed.
(a) P(Z < +1.7) = 0.9554
(b) The p-value is very large, and 0.9554 > 0.06, so, we cannot reject the null hypothesis at the significance level of 0.06