Answer:
-3x + 3y - 6
Step-by-step explanation:
2x + 3y - 4 - (5x + 2)
open brackets by using - sign to multiply
2x + 3y - 4 - 5x - 2
collect like terms
2x - 5x + 3y - 4 - 2
-3x + 3y - 6
Answer:
Step-by-step explanation:
Let's first find the exponential function that models the situation in year one. The exponential standard form is
where a is the initial value and b is the growth/decay rate in decimal form. If it is growth it is added to 100% of the initial value; if it is decay it is taken away from 100% of the initial value. We are told that the number of cars in year one was 80 million, so
a = 80 (in millions)
If b is increasing by 10%, then we are adding that amount to the initial 100% we started with to give us 100% + 10% = 110% or, in decimal form, 1.1
The model for our situation is
where y is the number of cars after x years goes by. We want to find the difference between years 3 and 2, so we will use our model twice, replacing x with both a 2 and then a 3 and subtracting.
When x = 2:
and
y = 80(1.21) so
y = 96.8 million cars
When x = 3:
and
y = 80(1.331) so
y = 106.48 million cars
The difference between years 3 and 2 is
106.48 - 96.8 = 9.68 million cars
Answer:
Number of years between 1950 and 2100 =

150 = 50 + 50 + 50 years.

So, total population in 2100 is 375,000,000.
Answer:
In the episode pertaining to the discovery of radium, it is false that all of the hypotheses turned out to be true.
There are some hypotheses in the episode thay turned out to be false.
85/100 is greater
85/100=.85 or 85%
21/25=.84 or 84%
.85 is greater than .84 so 85/100 > 21/25