Maddy bought 2 ⅔ pounds of grapes and 1 ⅕ pounds of apples. If she bought bananas that weighed 1 ¼ times as much as the grapes,
how much did the bananas weigh?
1 answer:
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Start by writing the system down, I will use to represent
Substitute the fact that into the first equation to get,
Simplify into a quadratic form (),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be .
Clearly for small coefficients like ours , this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as and
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are and
.
Hope this helps :)
Answer:
Step-by-step explanation:
Given function is,
f(x) =
Vertical asymptote of the function,
x = 2
Horizontal asymptote of the function,
y = 3
No oblique asymptotes.
Therefore, graph having vertical and horizontal asymptotes as x = 2 and y = 3 will be the correct graph as attached.
