A dolphin jumps out of the water. The function h=-16t^2+26t models the height (in feet) of the dolphin after t seconds. After how many seconds is the dolphin at a height of 5 feet.

The dolphin is five feet in the air after about 0.22 and 1.40 seconds.

Step-by-step explanation:

The height h (in feet) of the dolphin as it jumped out of the water after t seconds is given by the function:

We want to determine the time(s) when the dolphin is five feet in the air.

Since the dolphin is five feet in the air, h(t) = 5:

Solve for t. Rearrange:

We can use the quadratic formula, given by:

In this case, a = 16, b = -26, and c = 5.

Substitute:

Evaluate:

Simplify the square root:

Hence:

Simplify:

Hence, our solutions are:

The dolphin is five feet in the air after about 0.22 and 1.40 seconds.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

y=mx+b

step-by-step explanation:

m slope

b y-intercept