(03.05 lc) the graphs of functions f(x) and g(x) = f(x) + k are shown below: graph of line f of x going through ordered pairs 0, 0 and 2, 4. graph of line g of x going through ordered pairs 0, 2 and 1.5, 5. the value of k is .

The value of k is 2.

Step-by-step explanation:

Since, graph of line f of x going through ordered pairs 0, 0 and 2, 4.

So, the equation of line f(x) is,

Also, the graph of line g of x going through ordered pairs 0, 2 and 1.5, 5,

So, the equation of line g(x) is,

Thus, g(x)=f(x) + k

Hence, the value of k is 2.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5