Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
<h3>What is a Quadratic Equation?</h3>
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given the data in the question
- Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.
- Time t = 2.0 seconds
- Height h = ?
Now, to get the height after 2 seconds, we substitute 2 for t in the equation.
h = -16t² + 15t + 12.
If t = 2
h = -16(2)² + 15(2) + 12
h = -16(4) + 30 + 12
h = -64 + 30 + 12
h = -64 + 42
h = -22ft
Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
Learn more about quadratic equations here: brainly.com/question/1863222
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I will assume you mistyped this question. For y = -1/16x^2 + 4x + 3, the answers to this question are
a) 3 feet
b) 67 feet
c) 64.741 feet
For a) we note that at x = 0, that is the instant where the ball leaves the hand. y(0) = 0.
For b), we find the vertex of y = -1/16x^2 + 4x + 3
y = -1/16x^2 + 4x + 3
y = -1/16(x^2 - 64x) + 3
y = -1/16(x^2 - 64x + 1024 - 1024) + 3
y = -1/16((x-32)^2 - 1024) + 3
y = -1/16(x-32)^2 + 64 + 3
y = -1/16(x-32)^2 + 67
The vertex is at (32,67) so 67 is the maximum height.
For c), we find the x-intercepts with the quadratic formula on
y = -1/16x^2 + 4x + 3=0:
x = [ -b ± √b^2 - 4ac ] / (2a)<span>
x = [ -4 ± √4^2 - 4(-1/16)(3) ] / (2(-1/16))
x = -0.741, 64.741
Only the positive solution, so 64.741 feet </span>
it is 0.16 I am sorry if it is wrong
Options are:
Impossible
Certain
Likely
Unlikely
Answer:
Unlikely
Step-by-step explanation:
A ferry is a large ship that carries passengers and loads on water.
A ferry rarely sinks. Infact, the United States experience very low cases of shipwreck yearly. According to wikipedia in 2018, not more than 200 shipwrecks happened all over the world compared to a great number of operations that year.
Therefore, based on statistics, the ferry is unlikely to sink.
Three brass pennies is the short story and the
setting of this story is Ancient Chinese city.
<span>The theme of the story is about desires and
happiness. It is not necessary that what we desire bring happiness in our
lives. Sometimes we think and desire for something that may be it brings
happiness but instead of happiness it causes trouble.</span>
