Answer:
the zero of a function is the value of x which makes the final value zero
First Equation:
So let 25 - 2x equal to 0
<em>25 - 2x = 0</em>
x = 12.5
Second Equation:
Let 2x² - 11x - 6 equal to zero
<em>2x² - 11x - 6 = 0 </em>
<em>2x² - 12x + x - 6 = 0 </em><em>(Splitting the middle term)</em>
<em>2x(x - 6) + 1(x - 6) = 0</em>
<em>(2x + 1) (x - 6) = 0</em>
So we can transpose either one of the brackets below the zero
(2x + 1) = 0 or (x-6) = 0
x = -1/2 or x = 6
At that rate, cyclists will cover a distance of 57 meters in 3 seconds.
The ratio of two related quantities expressed in several units is known as a rate.
Speed is the ratio of the distance traveled in a period of time. Speed is given by:
Speed = distance/time
The cyclist's speed, given that he completes 380 meters in 20 seconds, will be:
Speed = distance/time
s = d/t
v = 380 m / 20 s
v = 19 m/s
If he travels at this rate, at 3 seconds, the distance is:
Speed = distance/time
Distance = Speed × time
d = s × t
d = 19 m/s × 3 s
d = 57 m
Therefore,
At that rate, the cyclist will travel a total distance of 57 meters in 3 seconds.
Learn more about rate here:
brainly.com/question/119866
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Answer:
The correct option is option C max 10A +15B +7C+8D
Step-by-step explanation:
As the complete question is not given here thus the complete question is found online and is attached herewith.
From the data the profit for 1 unit of A is 10, B is 15, C is 7 and D is 8, so the profit function is given as 10A+15B+7C+8D. and as profit is to be maximized so the correct option is option C.