Answer:
x is greater or equal to 7
Step-by-step explanation:
5) it is a function because each x value only has one y value. Domain: (-infinity,infinity) range: [0,infinity)
6) it is a function. Domain: (-infinity, infinity) Range: [3,3]
7) it is a function. Domain: (-infinity, infinity) range: (-infinity, infinity)
8) it is a function. Domain: [0, infinity) range: [0, infinity)
The value of m is 12 6/7.
Explanation:
To find m, we want one m instead of 7, so we divide both sides by 7. 7m/7 = 90/7, which would be m = 12 6/7.
Answer:
4877 fish
Step-by-step explanation:
Each year, the fish population is multiplied by 1-6% = 0.94, so after 8 years it has been multiplied by 0.94^8 ≈ 0.609569.
At that time, the population is ...
8000×0.609569 ≈ 4877 . . . fish
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
