Thaddeus models the number of hours of daylight in his town as D(t) = 2sin(xt) + 12, where Dis the number of daylight hours and tis the
time in months since January 1.
What are the least and greatest numbers of daylight hours over the course of
a year?
A. Least: 10 hours; greatest: 14 hours
B. Least: 6 hours; greatest: 12 hours
C. Least: 2 hours; greatest: 12 hours
O D. Least: 7 hours; greatest: 14 hours
SUBMIT

the first question mark is 6 and the second question mark is 26 (the square root)

step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph