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Ira Lisetskai [31]
3 years ago
8

Carrie buys 4.16 pounds of apples for $5.20. How much does 1 pound cost?

Mathematics
2 answers:
kondaur [170]3 years ago
7 0
First, let's set up our information:

(Don't forget your "Let" statement!)

Let x represent the cost of 1 pound of apples.

<u>4.16 pounds</u> = <u>$5.20</u>
    1 pound           $x

Now we can solve for x!

$x = $5.20 x 1 ÷ 4.16 pounds
$x = 1.25

Therefore, one pound of apples costs $1.25.

Hope this helps!
Message me if you have any questions :)
Slav-nsk [51]3 years ago
3 0
5.20/4.16=1.25
5.20 is apples
4.16 is $
1.25 is $ per pound
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5 0
1 year ago
The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

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d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

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Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
2 years ago
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