Factor to find the zeros of the function defined by the quadratic expression. −13x2 − 130x − 273
1 answer:
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Let's call:
a = price of 1 apple
p = price of 1 peach
The total cost is the price of 1 apple times the number of apples plus the price of 1 peach times the number of peaches, therefore the system can be:
Solve for a in the second equation (you can choose to solve for any of the variables in any of the equations, try to understand what is the best):
a = (4.82 - 5p) / 4
Now, substitute in the first equation:
6 · (4.82 - 5p) / 4 + 9p = 7.86
7.23 - (15/2)p + 9p = 7.86
(3/2)p = 0.63
p = 0.42
Now, substitute this value in the formula found for a:
<span>a = (4.82 - 5·0.42) / 4</span>
= 0.68
Therefore, one apple costs 0.68$ and one peach costs 0.42$.
a = price of 1 apple
p = price of 1 peach
The total cost is the price of 1 apple times the number of apples plus the price of 1 peach times the number of peaches, therefore the system can be:
Solve for a in the second equation (you can choose to solve for any of the variables in any of the equations, try to understand what is the best):
a = (4.82 - 5p) / 4
Now, substitute in the first equation:
6 · (4.82 - 5p) / 4 + 9p = 7.86
7.23 - (15/2)p + 9p = 7.86
(3/2)p = 0.63
p = 0.42
Now, substitute this value in the formula found for a:
<span>a = (4.82 - 5·0.42) / 4</span>
= 0.68
Therefore, one apple costs 0.68$ and one peach costs 0.42$.
Answer:
Suzi's elevation in the hike is 37 feet.
Step-by-step explanation:
We are given the following in the question:
Position of Suzi in the starting of hike = 200 feet below sea level
= -200 feet
The negative sign shows below sea level.
Position of Suzi in the end of hike = -163 feet
Change in elevation from the beginning of Suzi's hike to the end of the hike
= Position of Suzi in the end of hike - Position of Suzi in the starting of hike
Thus, Suzi's elevation in the hike is 37 feet.