Answer:
1st Graph
Step-by-step explanation:
Step 1: Find the inverse
y = 2x - 2
x = 2y - 2
x + 2 = 2y
y = (x + 2)/2
Step 2: Graph the inverse
Simply use a graphing calculator and we should see our answer is the top left graph.
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and t
he number of insect larvae (y) in the water: graph of y equals minus 2 times the square of x plus 20 times x plus 400 What does the peak of the graph represent?
2 answers:
Answer:
The maximum number of larvae occurs when the temperature is 5°C.
Step-by-step explanation:
We are given the function ,
where x= temperature of water (in degrees) and y= number of insect larvae in water.
From the graph of the function below, we see that,
The peak or the highest point of the parabola is (5,450).
That is, when x= 5, then the value of y= 450
<em>That is, when the temperature of the water is 5°, then the number of larvae in water is 450.</em>
Hence, the peak of the graph means that,
The maximum number of larvae occurs when the temperature is 5°C.
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Answer:
<em>Answers below</em>
Step-by-step explanation:
<u>Equation</u>
Let's call:
p = number of pennies Janesa has in her pocket
n = number of nickels Janesa has in her pocket
She has 24 coins in total, thus:
Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:
Multiplying by 100:
A. Completing the equation:
B.
From [1]:
Substituting into [2]:
Simplifying:
Rearranging:
B. There are 5 pennies in Janesa's pocket
C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05
The total value of the pennies is $0.05
D. The total value of the nickels is 19*$0.05 = $0.95
E. Jackson should say she has 19 nickels and 5 pennies