Answer:
1 times 47
Step-by-step explanation:
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:
brainly.com/question/26310043
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4P2 * 2P1 * 3P2
you want to use permuations instead of combinations because order matters.
12*2*6=144
Answer: 45 dollars and it was a distance of 5 kilometers
Step-by-step explanation: What i did was start with 30, then keep adding 3 till i got the a multiple of 5.
30 + 3 = 33
33 + 3 = 36
36 + 3 = 39
39 + 3 = 42
42 + 3 = 45
So already i know that it is 5 kilometers, because i added 3 to 30 five times.
No i will do that with the second company
20 + 5 = 25
25 + 5 = 30
30 + 5 = 35
35 + 5 = 40
40 + 5 = 45
That is also 5 kilometers, because i added 5 to 20 five times. I also know they are the same price, because they both added to 45 dollars.
Thats how i solved it.
I really hope that helps!
6v = v + 20
- v - v
5v = 20
/5 /5
v = 4
hopefully that helps!