The answer is C) 7.
In function 1, there is no rate of change.
In function 2, there is a rate of change of 7.
This leaves 7 as the only possible answer.
what is range of the inverse of the relation {(1, 7), (-2, 4), (5, 6), (2, 8)} A. {1, 2,5} B. {-4, 6, 7, 8} C. {1, 5} D. {-4, 7,
Rufina [12.5K]
The answer should be the domain of this relation. {-2, 1, 2, 5} but I do not see that as one of your answer choices.
The inverse of a relation is when you switch the domain and range. In other words, the domain of the original relation becomes the range of the inverse.
Answer:
4
Step-by-step explanation:
Every year, the world grows by 1.1%. Converting to a decimal, we can divide by 100 to get 1.1% = 0.011. This means that the world grows by 0.011 exponentially each year. To put this into an expression, we can add 1 to our percentage to get 1.011. This represents 1 = 100% (the original population) and the growth of 1.1% = 0.011. We multiply the rate including the growth by the population to get the population after one year. After the first year, we have
population * 1.011 as the new population after one year. We do that for every year, so the second year's population is population*(1.011)*(1.011) and so on. If x represents the amount of years, then the population can be represented as
(original population)*1.011ˣ
Therefore, to get from 7 billion to 7.31 billion, we have
7 billion * 1.011ˣ = 7.31 billion
divide both sides by 7 billion to relatively isolate the x
1.011ˣ = 7.31/7
Another way of writing this is
log (base 1.011) (7.31/7) = x
≈ 3.96
Rounding to the nearest whole number, we get 4 as our answer
Answer:
Third graph C.
Step-by-step explanation:
3a + 11 > 5
Subtract 11 from both sides
3a > -6
Solve for a
a = -6/3
a > -2
so a would be all numbers greater than -2
Answer:
Yellow= 1/2 or 50%chance
Red= 1/5 or 20% chance
Blue= 1/5 or 20% chance
Green= 1/10 or 10% chance
Step-by-step explanation:
There are 10 game pieces
5 are yellow
2 are red
2 are blue
And 1 is green
5/10=1/2=50%
2/10=1/5=20%
2/10=1/5=20%
1/10=10%
Add these up and you get 10/10 or 100%
Hope this helps and don't forget to follow!
