Answer:
D 15
Step-by-step explanation:
5x when x=3
=5×3
=15
Answer:
Step-by-step explanation:
17. Domain is all real numbers because the equation has a y-value for all x-values as far as we can see with the information given.
18. Range is 3< y <8, because the equation only has values for x where y is between those numbers.
19. Range is 3> y >-∞ (negative infinity) because the parabola's vertex has a y-coordinate of 3 and the parabola goes on forever in the negative direction (as seen by the arrows).
20. Domain is -∞ < x < 4 because the parabola's vertex has an x-coordinate of 4 and goes on forever in the negative x direction.
Hope this helps! :)
Answer:
P(1, π/4)
P(-1, π/4)
P(4, 5π/6)
P(-4, 5π/6)
Step-by-step explanation:
Knowing the formulas
r = √(x²+y²)
θ = Arctg (y/x)
we have
a) P(1, 1)
i)
r = √(1²+1²) = +1
r = +1
θ = Arctg (1/1) = π/4
P(1, π/4)
ii) r = √(1²+1²) = -1
r = -1
θ = Arctg (1/1) = π/4
P(-1, π/4)
b) P(2√3, -2)
i)
r = √((2√3)²+(-2)²) = +4
r = +4
θ = Arctg (-2/2√3) = 5π/6
P(4, 5π/6)
ii)
r = √((2√3)²+(-2)²) = -4
r = -4
θ = Arctg (-2/2√3) = 5π/6
P(-4, 5π/6)
Answer:
Increase of 2°F/h..... Option 4.
Step-by-step explanation:
Here in the table time in hours is the independent variable (x) and temperature in °F is the dependent variable (y).
The initial temperature at x = 0 hour is 52°F and then the temperature increases by 2°F per one hour time spent.
Therefore, the temperature is increasing at a constant rate of 2°F per hour from an initial value of 52°F.
Hence, option 4 is correct.
