Answer:
It's A
Step-by-step explanation:
Got it right on the practice :)
Answer:
i) = 23 °C
ii) = 4.4° C
Step-by-step explanation:
i) The temperature on the surface of the planet.
At the surface of the planet the height is Zero
Therefore, X = 0
Thus; using the equation, the temperature, y will be;
y = 23 - 5x
y = 23 - 5(0)
<u> = 23 °C</u>
ii) the temperature change for every kilometer from the surface,
From the equation;
y = 23 - 5x
we take, y to be 1
Therefore;
1 = 23 -5x , subtracting 23 on both sides we get
-22 = -5x
x = -22/-5
<u> = 4.4° C</u>
If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:
2000e^(0.05t) = 5000e^(0.02t)
(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)
2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))
2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))
ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )
t = ln(2/5) / -0.03 (Divide each side by -0.03)
= 30.54 (to two decimal places)
Therefor, the population of species A will be equal to the population of species B after 30.54 years.
I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.
Answer:
B (-1,0), (3,0)
Step-by-step explanation:
Quadratic Formula
Answer:
-4, -3.5, -2, -0.5, 1.5, 2.5
Step-by-step explanation:
you find the number with the least value which is -4 and then you go to the next one up which is -3.5 and you keep going
