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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Next time, Shay, please include the instructions. I'm assuming that our job here is to determine the largest # of boxes of darts that can be purchased.
Shirt cost + x(box of darts cost) = Initial amount
$56 + x($6/box) = $80
Then 56 + 6x = 80, or 6x= 24, or x = 4. He can buy 4 boxes of darts.
Answer:
All of them are right
Step-by-step explanation:
Are you sure the question was that?
Collinear means that it lies on the same line
Now, from every 2 points passes a unique line
So(0,0) and (3,2) are in a line
(0,0) and (1,0) are in an other line and so on
Answer:
A/b
B/d
Step-by-step explanation:
Answer:
Student B is correct
Student A failed to distribute -4 and -6 when opening the brackets in the first step
Step-by-step explanation:
The solution Student A gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x + 6 = -12x + 1 - 4
-10x + 6 = -12x - 3
2x = -9
x = -4 _1 2 ( -4 1/2)
The solution Student B gave was:
2x - 4(3x + 6) = -6(2x + 1) - 4
2x - 12x - 24 = -12x - 6 - 4
-10x - 24 = -12x - 10
2x = 14
x = 7
Student B is correct.
Explanation of the error:
Student A failed to distribute -4 and -6 when opening the brackets in the first step.
That is,
2x - 4(3x + 6) = -6(2x + 1) - 4
To open this bracket, we will distribute, -4 and -6 so that we get
2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4
Then we will get
2x -12x -24 = -12x -6 -4
Adding the like terms
-10x - 24 = -12x - 10
Collecting like terms
-10x + 12x = -10 + 24
∴ 2x = 14
x = 14 / 2
Hence,
x = 7
