Point A is located at –24 and point C is located at 36 on the number line below. Which value would represent point B, halfway be
tween point A and point C?
2 answers:
Answer:
Point B will be 6
Step-by-step explanation:
We have point A= -24 and point B = 36, we want to know point B which is halfway between points A and C.
To find the middle between two points we have to add the two numbers and divide them by 2:
We would have:
(A+C)/2
We substitute the values of A and C:
B = (-24+36)/2
B = 12/2
B = 6.
We can also write this on a number line and get point B by counting how many numbers there are in between point A and C, and this result divides it by 2. This is in the attachment.
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Answer:
Multiply by ∛2 and translate the graph to left by 4 units.
Step-by-step explanation:
The initial function given is:
y = -∛(x - 4)
The transformed function is:
y = -∛(2x - 4)
Consider the initial function.
y = -∛(x - 4)
(Represented by Black line in the graph)
Multiply the function by ∛2. The function becomes:
y = -∛(x - 4) × ∛2
y = -∛(2)(x-4)
y = -∛(2x-8)
(Represented by Red line in the graph represents this function)
Translate the graph 4 units to the left by adding 4 to the x component:
y = -∛(2x-8+4)
y= -∛(2x - 4)
(Represented by Blue line in the graph)
Answer:
Step-by-step explanation:
Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:
This differential equation can be solved by the method of separable variables like this:
with what you get:
. Taking exponentials on both sides of the equation:
how do you have to , then