Answer:
25
Step-by-step explanation:
Answer:
Given function:
f(t) = (-16t - 2)(t - 1)
<h3><u>Part 1</u></h3>
The zeros of the function are the values of t when f(t) = 0
⇒ f(t) = 0
⇒ (-16t - 2)(t - 1) = 0
⇒ (t - 1) = 0 ⇒ t = 1
⇒ (-16t - 2) = 0 ⇒ t = -2/16 = -1/8
<h3><u>Part 2</u></h3>
The zeroes tell us the time (in seconds) when the ball is at ground level (when its height is zero).
Since time is not negative, only one zero is meaningful: t = 1
Therefore, the total journey of the ball, from throwing it to it hitting the ground, is 1 second.
<h3><u>Part 3</u></h3>
The height the ball is thrown can be determined by inputting t = 0 into the function:
⇒ f(0) = (-16(0) - 2)(0 - 1)
⇒ f(0) = (0 - 2)(0 - 1)
⇒ f(0) = (-2)(-1)
⇒ f(0) = 2
Therefore, the height from which the beach ball is thrown is 2 ft.
Answer: $438To solve this equation, you cross multiply. I first subtracted 17.5 from 100 in order to get the percentage value that $361.35 was of its original price. Since 100 - 17.5 = 82.5, the washing machine is 82.5% of its original price.
I cross multiplied by writing

, and multiplying

and

. The result was

. This becomes $438. There is no rounding needed to be done.
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction[switch the numerator and the denominator])
For example:
Slope = 
Perpendicular line's slope =
or -3
Slope = -2 or 
Perpendicular line's slope = 
The given line's slope is
, so the perpendicular line's slope is -3. Now that you know the slope, substitute/plug it into the equation:
y = mx + b
y = -3x + b To find b, plug in the point (1, 9) and isolate/get the variable "b" by itself in the equation
9 = -3(1) + b Add 3 on both sides to get "b" by itself
9 + 3 = -3 + 3 + b
12 = b
y = -3x + 12