The equation y = negative StartFraction 1 Over 20 EndFraction x + 10 represents the gallons of gasoline that remain in Michelle’
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The simplest form of the given expression is 5x^3-5x^2.
We have given that
We have to determine the simplest form of the given expression.
<h3>What is the distributive property?</h3>
The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.
Use the distributive property we get,
Add like terms we get,
Therefore we get,
Therefore the simplest form of the given expression is 5x^3-5x^2.
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The maximum height of the projectile will be 226 feet that is, as per question, the option c.
A quadratic equation , y = ax²+bx+c (equation 1)
given, axis of symmetry is
x =
As per the question:
The path of the projectile is modeled using the equation :
h(t) = -16t²+48t+190 (equation 2)
h(t) = height after t time.
comparing equation 1 and equation 2, we get
a = -16 and b = 48
further, t =
=
= 1.5sec
Substituting the found value in equation 2, we get
h(1.5) = -16(1.5)²+48(1.5)+190
h(1.5) = -36+72+190
h(1.5) = 226ft.
Thus, the maximum height of the projectile at 1.5 sec is, 226 feet.
Note that the full question is:
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190.
What is the maximum height of the projectile?
A. 82 feet
B. 190 feet
C. 226 feet
D. 250 feet
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