Answer:
1)The rocket hit the ground at
2)The maximum height of the rocket = 12.468 feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equation
y = -2 x² + 5 x + 7 ...(i)
Differentiating equation (i) with respective to 'x' , we get
Equating zero
⇒ -4 x +5 =0
⇒ -4 x = -5
⇒
<em> The rocket hit the ground at </em><em></em>
<u><em>Step(ii):</em></u>-
...(ii)
Again differentiating equation (ii) with respective to 'x' , we get
The maximum height at x =
y = -2 x² + 5 x + 7
<em>The maximum height of the rocket = 12.468 feet</em>
The probability will include:
P(A and 1) = 1/24
P(C and 2) = 1/12.
P(B and 3) = 1/12.
P(A and 4) = 1/12
<h3>How to calculate the probability?</h3>
The probability of P(A and 1) will be:
= 1/4 × 1/6
= 1/24
The probability of P(C and 2) will be:
= 1/4 × 2/6
= 1/12
The probability of P(B and 3) will be:
= 2/4 × 1/6
= 1/12
The probability of P(A and 4) will be:
= 1/4 × 2/6
= 1/12
Learn more about probability on:
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Ok so if the parenth function is y=x^2
to move it up c units, add c to whole function
to move it right c units, minus c from every x
looks like we have
y=(x-6)^2-5
add -5 to whole funciton
minus 6 from every x
means that it moved 5 units down and 6 to the right from original function if parenth is y=x^2
Answer:
The horizontal distance of the shot from the start is 24 feet and the height of the shot above the ground is 23.08 feet.
Step-by-step explanation:
we have
where
x represents the horizontal distance from the start in feet
h(x) s the height of the shot put above the ground in feet
Determine h(24)
That means ----> The height of the shot put above the ground for a horizontal distance of 24 feet from the start
substitute the value of x=24 ft in the quadratic equation
so
The horizontal distance of the shot from the start is 24 feet and the height of the shot above the ground is 23.08 feet.