Answer:
g(f(4)) = -3
Step-by-step explanation:
f(x)=x-7
g(x) = x
g(f(4))
f(4) = 4-7
f(4) = -3
g(-3) = -3
F(x)=x(3x+5)
or
f(x)=3x²+5x
Here the domain in general is: -∞<x<∞
But the length of the rectangle cannot be negative, therefore the domain is all real numbers greater than zero.
Option D is correct.
Answer:
B. 60deg
Step-by-step explanation:
Both the sum of the third angle in the triangle and x has to be 180deg, as they sum to a half angle;
and the sum of angles in any triangle is 180deg.
We know that x = 180deg - (180deg - 28deg - 32deg) = 180deg - 180deg + 28deg + 32deg = 60deg
Also, note that x is drawn as smaller than a right angle. Unless the picture was made specifically to confuse us, we know that the only answer could be B.
The triangle was only rotated. The size did not change, so the corresponding angles would remain identical.
Because C is 28 degrees C' would also be 28 degrees.
Answer:
The probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the travel times to get to work.
The expected travel time is, <em>μ</em> = 38.3 minutes.
The distribution of random variable <em>X</em> can be defined as the distribution of time interval between which a person reaches their work place at a constant average rate.
This implies that <em>X</em> follows an Exponential distribution with parameter,
.
The probability density function of <em>X</em> is:

Compute the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work as follows:




Thus, the probability it will take a resident of the city between 17.24 and 42.13 minutes to travel to work is 0.3046.