Answer:
D. y = | x | + 7
Step-by-step explanation:
The + outside of the absolute value equation means there is a vertical shift up. So since there is a +7 that means there is a vertical shift 7 units up.
Add 4 to the second equation to get
.. 3b = 6
Substitute this into the first equation to get
.. 2a +6 = 12
.. 2a = 6 . . . . . . . subtract 6
.. a = 3 . . . . . . . . divide by 2
The value of a is 3.
Given Information:
Starting population = P₀ = 45
rate of growth = 22%
Required Information:
Population every five years from this year to the year 2050 = ?
Answer:
Step-by-step explanation:
The population growth can be modeled as an exponential function,
Where P₀ is the starting population, r is the rate of growth of the population and t is the time in years.
We are given that starting population of 45 and growth rate of 22%
Assuming that the starting year is 2020,
Therefore, the starting population of ewoks was 45 in 2020 and increased to 33,079 by 2050 in a time span of 30 years.
Answer:
24.4 feet
Explanation:
Let x be the length of the wooden board as shown in the diagram.
Using trigonometry ratio, we can write
cross multiplying we get:
Diving through by 0.819, we obtain
To the nearest tenth, x=24.4 feet.
Answer:
-29/7 =x
Step-by-step explanation:
3(x-6) -8 = -2+5(2x+1)
Distribute
3x-18-8 = -2 +10x+5
Combine like terms
3x-26 = 10x+3
Subtract 3x from each side
3x-3x-26 = 10x-3x+3
-26 = 7x+3
Subtract 3 from each
-26-3 = 7x +3-3
-29 = 7x
Divide each side by 7
-29/7 = 7x/7
-29/7 =x