9514 1404 393
Answer:
a = 1
Step-by-step explanation:
The slope of the inverse of a linear function is the inverse of the slope of the original function.
The slope of g(x) is the coefficient of x: 1.
The inverse of 1 is 1/1 = 1.
The slope of the function g^-1(x) is 1, so a=1.
_____
<em>Additional comment</em>
g^-1(x) = x +65 . . . . . a=1; b=65
Answer:
<u>The solutions of the system ⇒ (-6 , 312) and (6 , 312)</u>
Step-by-step explanation:
Given:
10x² - y = 48 ⇒(1)
2y = 16x² + 48 ⇒(2)
From eq.(1) ⇒ y = 10x² - 48 ⇒(3)
By substitution with y from eq.(3) at eq.(2)
∴ 2(10x² - 48) = 16x² + 48
Solve for x
∴ 20x² - 96 = 16x² + 48
∴ 20x² - 16x² = 48 + 96
∴ 4x² = 144
∴ x² = 144/4 = 36
∴ x = ±√36 = ±6
By substitution with x at eq.(3)
when x = 6 ⇒ y = 10x² - 48 = 10 * 6² - 48 = 10 * 36 - 48 = 312
when x = -6 ⇒ y = 10x² - 48 = 10 * (-6)² - 48 = 10 * 36 - 48 = 312
<u>So, there are two solutions of the system which are (-6,312) and (6,312)</u>
Y = mx + b
Where m is the slope and b is the y-intercept
As you can already see it passes through the origin so b (the y-intercept) is (x, 0)
And the slope were it’s rise/run so it goes up 2.5 units and to the right 1 unit so it’s 2.5/1 = 2.5
m = 2.5
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: hourly wage of a high school student
X~N(μ;σ²)
X[bar]= $8.25
σ= $0.25
For a 95% CI for the average hourly wage for<u> 1 </u>high school student:
For this exercise you have to consider the sample size n=1
a) The margin of error of the CI is calculated as:
d= 
* σ
1-α: 0.95 ⇒ α:0.05
1-α/2:0.975
d= 1.96 * 0.25= 0.49
b)
The formula for the interval is
X[bar] ± * σ
[8.25 ± 0.49]
[7.76; 8.74]
With a 95% you'd expect the interval $[7.76; 8.74] to include the average hourly wage of one high school student in Illinois.
c)
Te calculated interval is $ [7.76; 8.74] the value $9.15 does nor fall within that acceptable range.
I hope this helps!
Answer:
<u>The current value of Vincent's Hotel common stock is US$ 12.95, that fulfills the requirement of an investor of 17% of rate of return annually.</u>
Step-by-step explanation:
1. Let's review the information given for answering correctly the question:
Currently common stock dividend = US$ 2.20
Annual growth of the dividend for the next 2 years = 3%
Annual growth of the dividend after the next 2 years = 0%
2. What is the current value of Vincent’s Hotel common stock to an investor requiring 17% rate of return?
17% = 0.17
Current value of Vincent's Hotel common stock = 2.20/0.17
<u>Current value of Vincent's Hotel common stock = US$ 12.95</u>
