(1) Vertical asymptote: 
(2) Domain: 
(3) X intercept: 
and Y intercept : 
(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.
Explanation:
The parent function is 
The transformed function is 
(1) Vertical asymptote:
The vertical asymptote of a function can be determined by equating
Thus,
The vertical asymptote is
(2) Domain:
The domain of a function is the set of all independent x-values.
Thus,
The domain of a function is
(3) X and Y intercepts:
To determine the x intercept, let us substitute y=0 in
Thus, the x intercept is
To determine the y intercept, let us substitute x=0 in
Thus, the y intercept is
(4) To determine the transformation:
The transformed function is shifted 4 units to the left and shifted 1 unit downwards.
Answer:
<u>108°</u>
Step-by-step explanation:
Formula :
<u>Degree Measure = Arc length / radius x 180/π</u>
Solving :
Degree Measure = 3π/5 x 180/π
Degree Measure = 3 x 36
Degree Measure = <u>108°</u>
Answer:
c = 8.14 million×(0.9166)^t
4.83 million
Step-by-step explanation:
Data:
t = y - 2007
c₀ = 8.14 million
c₃ = 23 % less than c₁
Part 1. Calculate c₃
c₃ = c₀(1 - 0.23) = 0.77c₀
Part 2. Calculate r
c₃ = c₀r^t
0.77c₀ = c₀r³
0.77 = r³ Divided each side by c₀
r = 0.9166 Took the cube root of each side
The explicit decay model is c = 8.14 million×(0.9166)^t
Part 3. Prediction
t = 2013 - 2007 = 6
c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million
The model predicts that there will be 4.83 million cars for sale in 2013.
Step-by-step explanation:
B = area of the base
= 9×4 = 36 square inches
P= perimeter of the base
= 2(9+4)
=2×13= 26 inches
H =distance between the bases
= 16 inches
SA= 2B+PH
= 2(36)+ 26× 16
= 72+416 = 488 square inches
The probability of loss is 0.2 because they must add up to 1.
