Answer:
Step-by-step explanation:
The function used to represent the height of a punted football can be modeled as
f(x) = -.0079x² + 1.8x + 1.5
Where f(x) is the height in feet, and x is the horizontal distance, also in feet.
a) when the ball was punted, x = 0, therefore, the height of the punted ball would be
f(x) = -.0079(0)² + 1.8(0) + 1.5
f(x) = 1.5 feet
The height is 1.5 feet
b) The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the punted ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = - 0.0079
b = 1.8
Vertex = - - 1.8/0.0079 = 227.84 feet
So the maximum height of the punt is 227.84 feet
Answer:
BG = 8
EXPLANTAION :
we know that centroid of a triangle divides the median into ratio of 2 : 1 so,
BG : GF = 2 : 1
now, let's take BG as 2x and GF as x
and here, BG + GF = BF
So,
=》2x + x = 12
( because, BF = 12 )
=》3x = 12
=》x = 12 ÷ 3
=》x = 4
hence, x = 4
from here,
=》BG = 2x
=》BG = 2 × 4 = 8
Answer:
x³ sin(x)
Step-by-step explanation:
Tabular method is a special form of integration by parts. It works by taking derivatives of u and integrals of dv. You multiply diagonally, then sum the results, alternating the signs.
The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0. So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:
d/dx (x³) = 3x²
d/dx (3x²) = 6x
d/dx (6x) = 6
d/dx (6) = 0
Mean of doctor 1: 12
Median of doctor 1: 9.5
Mean of doctor 2: 16
Median of doctor 2: 19.5
3x - y = 2
y = 2x - 9
Substitute:
3x - 2x - 9 = 2
x - 9 = 2
x = 11
Substitute your answer into any equation:
y = 2x - 9
y = 2(11) - 9
y = 22 - 9
y = 13
Answer:
x = 11 ; y = 13
