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Pavlova-9 [17]
3 years ago
14

The Cazneau family starts their journey with a supply of 30 lbs of coffee. When they arrive at Sutter's fort in California, 188

days later, they have only 3 lbs left. Find the average amount of coffee consumed per day. Please explain your process in finding the answer.
Mathematics
1 answer:
Flura [38]3 years ago
5 0

Answer:

The average amount of coffee consumed per day was 0.14 lb

Step-by-step explanation:

we know that

To find out the average amount of coffee consumed per day, divide the total amount of coffee consumed by the number of days

Let

x -----> the total amount of coffee consumed in pounds

y ----> the number of days

we have

To find out the total amount of coffee consumed subtract 3 lbs from 30 lbs

x=30-3=27\ lbs

y=188\ days

so

\frac{27}{188}=0.14\frac{lbs}{day}

therefore

The average amount of coffee consumed per day was 0.14 lb

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The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that
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Answers:

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=========================================================

Explanation:

The vertex is (h,k)

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

For example, if we had the quadratic y = 3x^2-6x+5, then we'll plug in a = 3 and b = -6 to get: h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1

------------

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\

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3 years ago
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