The exponential function is 
Step-by-step explanation:
The form of the exponential function is 
, where
- a is the value of y when x = 0
- b is the rate of change
∵ The form of the exponential function is
∵ The function goes through points (0 , 12) and (2 , 768)
- Substitute the coordinates of the first point to find the value of a
∵ x = 0 and y = 12
∴ 
∵ 
∴ 12 = a(1)
∴ a = 12
Substitute the value of a in the form of the function
∴ 
- Substitute the coordinates of the second point to find the value of b
∵ x = 2 and y = 768
∴ 
- Divide both sides by 12
∴ 64 = b²
- Take √ for both sides
∴ b = 8
- Substitute the value of b in the form of the function
∴
The exponential function is
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
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The <em><u>correct answer</u></em> is:
C) Glide reflection.
Explanation:
If we reflect the image through the x-axis, the figure is oriented correctly and in the correct quadrant. It still, however, needs shifted. If we apply the translation <2, 1> to the reflected figure, it will be on image W.
We can check by subbing in the values.
7x + 2y = -7
(7,9).....x = 7 and y = 9
now we sub
7(7) + 2(9) = -7
49 + 18 = -7
67 = -7 (incorrect)....therefore, (7,9) is NOT a solution for this equation
Answer:
Width=10
Length=18
Step-by-step explanation:
The length is 2 feet less then twice the width
Let the width be x.
Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.
x(2x-2)=180
2x^2 - 2x - 180 = 0
2( x^2 - x - 90) = 0
We now have a factorable quadratic.
2(x+9)(x-10)=0
So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.
So x=10
Then the width is 10 and the length is 18
Hope this helps! Let me know if it is correct!
The answer to this one is A
