Answer:
y = 3 · 2ˣ
Step-by-step explanation:
Exponential function is:
y = abˣ
Plug in the points:
⅜ = ab⁻³
12 = ab²
Solve the system of equations. Start by dividing the second equation by the first:
12 / ⅜ = (ab²) / (ab⁻³)
32 = b⁵
b = 2
Plug into either equation to find a:
a = 3
Therefore:
y = 3 · 2ˣ
Answer:
x = 17 and y = 37
Step-by-step explanation:
Let the numbers be x and y.
y = 3 + 2x
xy = 629
substituting y in the second equation we get
x(3+2x) = 629
3x + 2
= 629
2
+ 3x - 629 = 0
Solving a quadratic equation by using its formula:
x = [-3 ±√(9-4(2)(-629)] / 4
x = [-3 ± √5041] / 4
x = [-3 ± 71] / 4
x = 17 and 
Ignore the negative number in x and just use x = 17 in the first equation we get
y = 3 + 2(17) = 37
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Answer:
13
Step-by-step explanation:
You just count by adding 3 every time