<h3>
Answer: reflection over x axis</h3>
g(x) = -f(x) is the same as g(x) = -1*f(x)
Since y = f(x), we are really saying g(x) = -1*y. Whatever the y coordinate is on f(x), multiply it by -1. This turns something like y = 2 into y = -2, or something like y = -3 into y = 3, etc etc. Visually this reflects the point over the horizontal x axis. Do this to all points on f(x), and the entire curve reflects over the x axis.
I show an example of y = x^2 turn into y = -x^2 in the attached image below.
The aquarium has 3 more yellow fish than green fish.
60% of the fish are yellow.
To find:
How many green fish are in the aquarium?
Step-by-step explanation:
Let there be x number of fish in the aquarium.
60% of the fish are yellow.
So there are 60x/100 = 3x/5 yellow fish.
Then (100 - 60)% = 40% fish are green.
So there are 40x/100 = 2x/5 green fish.
Given that, there are 3 more yellow fish than green fish
⇒ 3x/5 = 2x/5 + 3
⇒ 3x/5 = (2x + 15)/5
⇒ 3x = 2x + 15
⇒ 3x - 2x = 15
⇒ x = 15
Now, 2x/5 = 2/5 × 15 = 2 × 4 = 6
Answer:
There are 6 green fish in the aquarium.
Cos(2x) = cos^2(x) - sin^2(x) - cos(x)
but sin^2(x) = 1 - cos^2(x)
cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)
cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)
cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)
cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)
I think this is what you have asked for.
More information is required to answer the question correctly.
Answer:
$304.63
Step-by-step explanation:
From the information provided, the total cost can be calculated by multiplying the price of each item for the amount purchased and adding up the results:
Total cost=($87.98*2)+($14.57*3)+($21.24*4)
Total cost=$175.96+$43.71+$84.96
Total cost= $304.63
According to this, the answer is that their total cost is $304.63.
