The answer is 1. f(a) = –2a^2 – 5a + 4. If a = -3, then to find f(-3) we
have to substitute a in the general formula. f(a) = –2a^2 – 5a + 4 = -2
* a^2 – 5 * a + 4. Substitute a with -3. f(-3) = –2 * (-3)^2 – 5 * (-3)
+ 4 = -2 * 9 - (-15) + 4 = -18 + 15 + 4 = 1
Answer:
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Step-by-step explanation:
The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
Learn more about Differentiation from:
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SOLUTION:
x + x + 1 = 132 / 32
2x + 1 = 33 / 8
2x = 33 / 8 - 1
2x = 25 / 8
x = 25 / 8 / 2
x = 25 / 16
The first number is 25 / 16. Therefore, as the second number is consecutive we simply add 1 to the first number to achieve the second number as displayed below:
Second number:
= x + 1
= 25 / 16 + 1
= 36 / 16
= 9 / 4
ANSWER:
Therefore, the first number is 25 / 16 and the second number is 9 / 4.
Hope this helps! :)