Translation refers to a rigid motion or transformation where you move an object from one location to another.
Translations are base on the rule (x,y) -- (x+a, y+b) where the words right and left represent the change in the x-axis, and the words up and down the change in the y-axis.
In this exercise it is asked you to find the coordinates of the preimage of point T', which has the coordinates (-3,4) and is the effect of a translation of 3 units up. As previous said, the words up and down represent a change on the y-axis, meaning that the y-coordinate is the one that should be changed.
If the translation from the preimage to the image was 3 units up, then the preimage can be found by subtracting three units.
Pre-image: (-3,4-3)= (-3,1)
The point that represents the coordinates of the pre-image is (-3,1).
Answer:
The estimated Rabbit population by the year 2036 is 32,309 rabbits
Step-by-step explanation:
In this question, we are expected to use the exponential decay function to estimate population of rabbits in a certain year.
An exponential decay function refers to an equation that estimates the value of a parameter(dependent parameter) at a certain value of the independent parameter given that the independent parameter decreases at a certain constant rate.
Firstly, what we need to do is to write the decay function. To do this, we shall be representing the population by variable P, the rate by r , the number of years by t and the initial population by I
Mathematically, we have the decay function as;
P = I(1-r)^t
From the question, we identify these values as;
P = 144,000 : r = 7.2% = 7.2/100 = 0.072, I = 144,00 and t = 2036-2016 = 20 years
Let's plug these values;
P = 144,000(1-0.072)^20
P = 144,000(0.928)^20
P= 32,309
Round number to nearest hundred 1,427 as 1,420. 68,136 as 68,130. 271,308 as 271,300. 7,593,656 as 7,594,000 right?
xenn [34]
Normally to round a number to the nearest hundred you want to go to the hundreds column for example:
1427
1...thousand, 4...hundred, 2...tenth, and 7... ones so this one would be 1400
68136=68100 and so on.... hope this helps
Step-by-step explanation:
therefore, 9 students haven't given their speech
3x-4=-19
you add -4 to both sides and get 3x=15 then divide 3 by both sides and get x=5 (15 divided by 3 is 5)
