Answer:
$201.99
Step-by-step explanation:
Given that:
Amount held on Monday = $61.72
Amount withdrawn on Tuesday = $57.00
Amount deposited on Thursday = $197.27
Final balance :
Amount held on Monday - Amount withdrawn on Tuesday + Amount deposited on Thursday
$61.72 - $57.00 + $197.27 = $201.99
Hence, final balance = $201.99
Step-by-step explanation:
Let the two numbers be X and Y respectively.
<u>We know that</u> :
(a) X = 6Y + 5
(b) X + Y = 75
7Y + 5 = 75
X = 65
Y = 10
Answer:
Step-by-step explanation:
From the question we are told that
Equation of cross section is 
Generally the equation can be rewritten mathematically as
Generally the equation of a parabola with vertical axis is mathematically given by
Therefore comparing equations
The distance from the bulb to the vertex of the cross section is given by
9514 1404 393
Answer:
1. 5 seconds
2. 4.5 seconds
Step-by-step explanation:
Both of these questions can be solved the same way. Each quadratic gives height as a function of time. You're interested in the time at which the height is zero. Factor the quadratic and find the positive value of x that makes the relevant factor be zero.
__
1) y = -15x(x -5)
x = 5 makes the second factor zero
The golf ball is in the air 5 seconds.
__
2) y = -12x(x -4.5)
x = 4.5 makes the second factor zero
The football is in the air for 4.5 seconds.
_____
<em>Additional comment</em>
The "zero product rule" tells you a product will be zero if and only if one or more of the factors is zero. When a factored quadratic (or any other polynomial) is zero, one of the factors must be zero. If the factor is of the form (ax+b), then the corresponding solution is ...
ax+b = 0 ⇒ ax = -b ⇒ x = -b/a
That is, once you have the factored form, you can write the solutions "by inspection."
