Answer:
4 sec
Step-by-step explanation:
let y = 0 which is the height when the rocket hits the ground
-3t^2 + 6t + 24 = 0
-3(t^2 - 2t - 8) = 0
-3(t - 4)(t + 2) = 0
t = 4 or t = -2
time cannot be negative, so t = 4 sec
19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
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Answer:
your answer would be b
Step-by-step explanation:
got it right
Just factor -35 so -7,5 35,-1 from this just add up the possible answers and there is the answer so it is 34 with A and B being -1 and 35
We are given an isosceles triangle.
An isosceles triangle has corresponding angles of corresponding sides same.
<em>Therefore, other angle is also of (3x+7) degrees.</em>
(5x+13) and (3x+7) makes a linear pair.
Therefore,
(5x+13) + (3x+7) = 180
5x +13 + 3x +7 = 180.
8x +20 = 180.
Subtracting 20 from both sides, we get
8x +20-20 = 180-20.
8x = 160
Dividing both sides by 8, we get
<h3>x = 20.</h3><h3>Therefore, correct option is 3rd option. </h3>
