The equation of g(x) is 
Explanation:
Given that the function f(x) is 
Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.
We need to determine the equation of g(x)
<u>Equation of g(x):</u>
The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).
Thus, we have,

Substituting the values,we have,

Simplifying the values, we get,

Hence, the equation of g(x) is 
Answer:
∠ 1,3,5,7 = 32°
∠2,4,6,8,= 148°
Step-by-step explanation:
From the figure attached,
AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.
Since, m∠1 = 32°,
∠1 and ∠4 are supplementary angles [Linear pair of angles]
m∠1 + m∠4 = 180°
32° + m∠4 = 180°
m∠4 = 180° - 32°
m∠4 = 148°
therefore,
m∠1,3,5,7 = 32°
m∠2,4,6,8,= 148°
Answer
(a) 0.94
(b)0.06
Step-by-step explanation:
P(husband is employed) = P(H) = 0.85
P(wife is employed) = P(W) = 0.59
P(both are employed) = P(H∩W) = 0.50
(a) At least one of them is employed
= P(H∪W)
= P(H) + P(W) - P(H∩W)
=0.85 + 0.59 - 0.50
=0.94
(b) Neither is employed,
=1 - P(H∪W)
= 1-0.94
=0.06