Answer:
<u>Numbers and plot location given below:</u>
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- √15 = 3.9 located between 3.8 and 4.0
- √46 = 6.8 located between 6.7 and 6.9
- √55 = 7.4 located between 7.3 and 7.5
- √60 = 7.7 located between 7.6 and 7.8
- √96 = 9.8 located between 9.7 and 9.9
- √14 = 3.7 located between 3.6 and 3.9
- √22 = 4.7 located between 4.6 and 4.8
- √75 = 8.7 located between 8.6 and 8.9
- √34 = 5.8 located between 5.7 and 5.9
- √57 = 7.5 locate between 7.4 and 7.6
Answer:
Step-by-step explanation:
We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is
where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)
Solving first for a:
. Sine anything in the world raised to a power of 0 is 1, we can determine that
a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:
. Since b to the first is just b:
1.5 = 3b so
b = .5
Filling in our model:
Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.
5x>/ 45
at least means it can be 45 and up
So it becomes greater than or equal to
Answer:
The correct answer is 6.
Step-by-step explanation:
When translating and reflecting figures, the shape remains the same. So, the side of 2x-4 is corresponding to the side of 8 and they are equal to each other.
To solve, set up an equation like this to find x:
2x-4=8
Then, add 4 to both sides of the equation:
2x=12
The goal is to get x by itself and in order to do that, divide both sides by 2:
x=6
The value of x is 6. I hope this helps! ☺
Answer:
The speed of the boat is 20 km/hr
Step-by-step explanation:
Let s be the speed of boat in still water
Let d be the distance
Upstream speed = s-4
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.
So, Distance traveled in upstream =
Downstream speed = s+4
So, Distance traveled in downstream = 
So, 
30s-120=20s+80
10s=200
s=20
Hence The speed of the boat is 20 km/hr
