Answer:
Step-by-step explanation:
1.Find X
x^2 +8x+15 = (x+5)
-x -x
x^2+7x+15=5
-5 -5
x^2 +7x+10=0
Do the quadralic formula
a=1 b=7 c=10
<u>-7±√7^2-4(1)(10)</u>
2(1)
<u>-7±√49-40</u>
2
<u>-7±√9</u>
2
-7±3
divide 2 by each number
-3.5 ± 1.5
-3.5+1.5 -3.5-1.5
-2 -5
x= -2 x=-5
2. find the length of the garden
-2+5 =3
the length is 3
3. plug in the length to the area of the garden
-5^2+8(-5)+15=3
solve
25-40+15=3
0=3
the width of the garden is 3 square feet
Look at the intersection so the answer should be a
The points (s, t) that will maximize John's profit is; (12, 0)
<h3>How to use Inequality Constraints?</h3>
We are given the inequality constraints;
s ≤ 12 - 0.5t
s ≥ 10 - t
s ≤ 20 - t
s ≥ 0
t ≥ 0
We are told that John sells the T-shirts for $6 each and the shorts for $14 each. Since the coordinate point is (s, t), when we look at the options and compare with each of the constraints, it is clear that the points (s, t) that will maximize John's profit is; (12, 0)
Read more about Inequality Constraints at; brainly.com/question/14309521
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Answer: 81.2
Step-by-step explanation:
h(t) = -5t² + 40t + 1.2
h(4) = -5(4)² + 40(4) + 1.2 We plug 4 seconds as t, and solve h(4)
h(4) = -80 + 160 + 1.2
h(4) = 80 + 1.2
h(4) = 81.2
