We have the following equation:
h (t) = - 16t ^ 2 + 161t + 128
We substitute the value of h (t) = 170:
170 = -16t ^ 2 + 161t + 128
We rewrite the equation:
-16t ^ 2 + 161t + 128 - 170 = 0
-16t ^ 2 + 161t - 42 = 0
We look for the roots of the equation:
t1 = (161/32) + root (23233) / 32
t2 = (161/32) - root (23233) / 32
Answer:
The object is 170 feet off the ground at the following times:
t1 = (161/32) + root (23233) / 32
t2 = (161/32) - root (23233) / 32
You can calculate that as (x * 50)/100 = 37
x*50 = 3700
x=74
The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutionslet
x---------------> t<span>he length of the garden
</span>y---------------> the wide of the garden
we know that
x>=110
2x+2y <=380---------------> x+y <= 190
Part A) <span>Write a system of inequality that model the possible dimensions of he garden
</span>
the answer part A) is
x>=110
x+y <= 190
Part B) <span>Graph the system to show all possible solutions
using a graph tool
see the attached figure
the solution is the triangle show in the figure
</span><span>the possible solutions of y (wide) would be between 0 and 80 ft
</span>the possible solutions of x (length) would be between 110 ft and 190 ft
2x² + 5x -6x - 15 = 0
2x² - x - 15 = 0
2x² -x = 15
x = 3
3 x 3 = 9 x 2 = 18 - 3 = 15
i really don't know how i got 3 in the first place but that is your answer
hope this helps