The equation of the transformation of the exponential function <em>y</em> = 2ˣ in the form <em>y</em> = A·2ˣ + k, obtained from the simultaneous found using the points on the graph is <em>y</em> = (-2)·2ˣ + 3
<h3>What is an exponential equation?</h3>
An exponential equation is an equation that has exponents that consists of variables.
The given equation is <em>y</em> = 2ˣ
The equation for the transformation is; <em>y</em> = A·2ˣ + k
The points on the graphs are;
(0, 1), (1, -1) and (2, -5)
Plugging the <em>x </em>and <em>y</em>-values to find the value <em>A</em> and <em>k</em> gives the following simultaneous equations;
When <em>x</em> = 0, <em>y</em> = 1, therefore;
1 = A·2⁰ + k = A + k
1 = A + k...(1)
When <em>x</em> = 1, <em>y</em> = -1, which gives;
-1 = A·2¹ + k
-1 = 2·A + k...(2)
Subtracting equation (1) from equation (2) gives;
-1 - 1 = 2·A - A + k - k
-2 = A
1 = A + k, therefore;
1 = -2 + k
k = 2 + 1 = 3
k = 3
Which gives;
y = -2·2ˣ + 3 = 3 - 2·2ˣ
Learn more about the solutions to simultaneous equations here:
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Answer:
Lake Eyre is higher by 242 meters.
Step-by-step explanation:
Jericho = -258
Lake Eyre = -16
-258 - (-16) = -242
Answer: C) 
Step-by-step explanation:
1. You know that the perimeter of the larger driveway is represented with the following expression given in the problem:

2. When you simplify it and add the like terms, you obtain:

3. Now, you can factor out 4. Therefore, you can write the expression as below:

4. So, you can conclude that the answer is the option C.
The answer is <span>10 was added to each side.
</span>
<span>x² + 8x + 60 = x² + 12x + 20
____
Subtract x</span>² from both sides:
x² + 8x + 60 - x² = x² + 12x + 20 - x²
8x + 60 = 12x + 20
60 - 20 = 12x - 8x
40 = 4x
x = 40/4
x = 10
So, 10 was added to each side.
Answer:
a) 25º, 75º, 80º
Step-by-step explanation:
A triangle's angles add up to 180º only the first set adds up to 180º. 25º+75º+80º = 180 º