Adiver jumps up and over from a cliff in order to avoid rocks and land in the deeper water. the path of the dive can be modeled using the function f(x)=−16x2+2x+48, where f(x) is the height, in feet, of the diver at x time in seconds. what is the maximum height, in feet, the diver will reach? round your answer to the nearest hundredth if necessary. do not include units in your answer.

48.06  to the nearest hundredth.

Step-by-step explanation:

f(x) = -16x^2 + 2x + 48

To find the maximum height we convert to vertex form:

= -16(x^2 + 1/8x) + 48

= -16[x + 1/16)^2 - 1/256] + 48

= -16(x + 1.16)^2  + 16/256 + 48

= 48.0625.

it would be 6xy and -16xy.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40