Answer:
18
Step-by-step explanation:
sum of ratio=5+3+4=12
Answer:
Zero of the function;
f(x) = 0 at x = -1.333
Discontinuity;
x = 1
Step-by-step explanation:
To determine the zero of the function;
we simply graph the function as shown in the attachment below.
From the attachment, we can deduce that f(x) = 0 at x = -1.333
To determine the discontinuity or the undefined points of the function, we simply equate the denominator to 0 and solve for x;
x - 1 =0
x = 1
The function is therefore not defined at the point where x =1
Let
x be the distance that the truck has left to travel
t be the the time
The total distance is 1675 miles
The average speed is 55 miles per hour
The equation that represents the distance that the truck has left to travel with respect to time is
55t + x =1675
x = -55t + 1675
<u>Given</u>:
The parent function is
We need to determine the equation for the new function g(x)
<u>Vertical shift:</u>
From the graph, it is obvious that the parent function is shifted 6 units upwards.
The general rule to shift the graph c units upwards is
Thus, using the rule, the vertical shift of the new function g(x) is given by
<u>Horizontal shift:</u>
From the graph, it is obvious that the parent function is shifted 2 units to the right.
The general rule to shift the graph c units to the right is
Thus, the horizontal shift of the new function g(x) is given by
<u>Equation for the new function g(x):</u>
Since, the new function is shifted 2 units to the right and 6 units upward is given by the equation,
Hence, the equation of the new function is