Let the number of half dollars be x,
number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17
There are 17 quarters and 15 half dollars.
the assumption being that "x" is a plain variable whilst "y" is a function, that matters because the chain rule would be needed for a function, not so for a plain variable.
now, we know that y(5) = -23, which is another way of saying that when x = 5, y = -23, but we already knew that, we can get that by simply plugging it into the equation hmmm y'(5), well
|
|__x_- 4___________ 2x³/2x² =x
2x² + 2x +3 | 2x³ - 6x² +7x +3
- (<span>2x³ +2x² +3x)
</span> -8x² +4x +3 -8x²/2x² = -4
<span>-(-8x² -8x -12)
</span> 12x +15
(x-4) + (12x +15)/(2x² + 2x +3)
A) x – 7 = -7(6y + 5)
x – 7 = -42y + -35
x – 7 + 35 = -42y
x + 28 = -42y
y = (1/42)x – 14/21
c) y – 7 = 7(x + 5)
y – 7 = 7x + 35
y = 7x + 42
b) y – 7 = -7(x + 5)
y – 7 = -7x -35
y = -7x – 28
d) y + 7 = 7(x + 5)
y + 7 = 7x + 35
y = 7x + 28
