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1 answer:
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Answer:
Each hotdog costs $1.65
Each juice drink costs $1.05
Step-by-step explanation:
Let's begin by letting represent the number of hot dogs and
the number of juice drinks.
The Baxter family bought 6 hot dogs and 4 juices for $14.10.
The Farley family bought 3 hot dogs and 4 juices for $9.15.
Now, we subtract these equations.
Since has reversed coefficients, it gets eliminated. Now solve for x.
NOW, we find y by substituting x with 1.65 (in either equation).
We'll use the first equation.
= 1.65
= 1.05
represents hotdogs and
represents juice drinks.
Therefore, each hotdog costs $1.65 and each juice drink costs $1.05.
<em> I hope this helps! :)</em>
Answer:
f(x) = 3x^2 -21x +36
Step-by-step explanation:
The table gives the x- and y-intercepts, which are sufficient to write the equation in factored form. The x-intercepts of 3 and 4 tell you that factors are (x -3)(x -4). When x=0, this product is (-3)(-4) = 12, but the y-intercept value is 3 times that: 36. So, the factored equation is ...
f(x) = 3(x -3)(x -4)
Multiplying this out, we get ...
f(x) = 3(x^2 -7x +12)
f(x) = 3x^2 -21x +36
