Need asap and fully explained!

a function is shown.
h(t) = -t^2+10t-16
for which interval of t-values is the function both positive and increasing?
a. t < 5
b. t > 8
c. 2 < t< 5
d. 5< t< 8

B

Step-by-step explanation:

A.) If you plug in 5 for t, you'd get -5 squared + 10(5) - 16

Which would equal 25 + 50 - 16 = 59

Answer a says t is less than 5, so for example let's plug in 4. You'd get a lower number, which means its decreasing. A is wrong

B.) Now let's plug in 8 for t.

-8 squared = 64.

64 + 10(8) - 16 = 144 - 16 = 128

Your answer here is positive, and B states is t > 8. Any number above 8 is going to give you a positive number and it is increasing

answer: answer

step-by-step explanation: