The exponential function which represented by the values in the table is
⇒ 3rd answer
Step-by-step explanation:
The form of the exponential function is
, where
- a is the initial value (when x = 0)
- b is the growth/decay factor
- If k > 1, then it is a growth factor
- If 0 < k < 1, then it is a decay factor
The table:
→ x : f(x)
→ -2 : 16
→ -1 : 8
→ 0 : 4
→ 1 : 2
→ 2 : 1
∵ 
- To find the exponential function substitute the value of x and f(x)
by some values from the table to find a and b, at first use the
point (0 , 4) to find the value of a
∵ x = 0 and f(x) = 4
∴ 
- Remember that any number to the power of zero equal 1
except the zero
∵ 
∴ 4 = a(1)
∴ a = 4
Substitute the value of a in the equation
∴ 
- Chose any other point fro the table to find b, lets take (1 , 2)
∵ x = 1 and f(x) = 2
∴ 
∴ 2 = 4 b
- Divide both sides by 4
∴ 
- Substitute the value of b in the equation
∴ 
The exponential function which represented by the values in the table is 
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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Answer:
Division Expression - 7 ÷ 3
Unit Form - 21 thirds ÷ 3 = 7
Improper Fraction 7/3
Step-by-step explanation:
Hope this helps!! <3
To figure this out i would just dived 2.8 by 3 then multiply by two. I do not know if you must keep it as a fraction but this is the easiest way for me to do it
Answer:
The distance from the base of the statue to the ship is 771.60 ft
Step-by-step explanation:
Refer the attached figure
Height of statue AB= 250 feet
The tourist sees a ship coming into the harbor and measures the angle of depression as 18°.
So, ∠ACB = 18°
We are supposed to find the distance from the base of the statue to the ship i.e. BC
In ΔABC





BC=771.60 ft
Hence the distance from the base of the statue to the ship is 771.60 ft
The dropdown numbers is an illustration of combination
The smallest dropdown number is 1025
<h3>How to determine the smallest dropdown number?</h3>
From the question, we have the following parameters:
- The dropdown number is 4-digit
- The digits are different.
We start counting from 1023, 1024, 1025, 1026...........
- The sum of digits in 1023 is 6, and the average is 1.5
- The sum of digits in 1024 is 7, and the average is 1.75
- The sum of digits in 1025 is 8, and the average is 2
The number 1025 satisfies the given conditions
Hence, the smallest dropdown number is 1025
Read more about combination at:
brainly.com/question/11732255