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snow_lady [41]
3 years ago
10

At a farmers’ market, Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items,

while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?
Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0
No because karen is buying more of other stuff. So they cannot buy the same amount of bread and same amount of money .
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A, D, E are true

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You have to complete the square to prove A.  Do this by first setting the function equal to 0, then moving the 5 to the other side.

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Now we can complete the square.  Take half the linear term, square it, and add it to both sides.  Our linear term is 8 (from the -8x).  Half of 8 is 4, and 4 squared is 16.  So we add 16 to both sides.

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The axis of symmetry is also found in the h value.  This is, by definition, a positive x-squared parabola (opens upwards), so its axis of symmetry will be an "x = " equation.  In the case of this type of parabola, that "x = " will always be equal to the h value.  So the axis of symmetry is

x = 4, which is why C is NOT correct, either.

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From this you can see that D is also correct.

To determine if the parabola has real solutions (meaning it will go through the x-axis twice), you can plug it into the quadratic formula to find these values of x.  I just plugged the formula into my graphing calculator and graphed it to see that it did, indeed, go through the x-axis twice.  Just so you know, the values of x where the function go through are (.6833752, 0) and (7.3166248, 0).  That's why you need the quadratic formula to find these values.

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