if alpha and beta are the zeroes of the polynomial f(x) = 6x² + x - 2, find the value of 1/alpha + 1/beta - alphabeta
1 answer:
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Step-by-step explanation:
A transformation(s) of a parent function is
where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is
First, we stretched this by 7
so we have
We need to shift this 12 units to the left so we have
We need to reflect this across x axis so we get
We need to shift this downwards 15 so we get
or because tan is a odd function you could say
Answer:
Bag of windflower bulbs costs $8.50
Package of crocus bulbs costs $17.60
Step-by-step explanation:
Let $x be the price of one bag of windflower bulbs and $y be the price of one package of crocus bulbs.
1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,
2x+5y=105
2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,
9x+5y=164.50
3. You get the system of two equations:
From the first equation
Substitute it into the second equation:
9x+105-2x=164.50
7x=164.50-105
7x=59.5
x=$8.50
So,
5y=105-2·8.5
5y=105-17
5y=88
y=$17.60