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Using the digits 1 to 9 without repeating fill in the blanks to create a system of equations that intersect at x = 1

User Ggordon
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The equations are y = 3(1)ˣ and y = 6/8 x (4).

The formula for an exponential function is f(x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

The d Here are two different exponential functions of the required form that intersect at x = 1 -

y = 3(1)ˣ

y = 6/8 x (4)ˣ

In the first equation, a = 3, and b = 2.

Plugging in x = 1, we get -

y = 3(1)1¹

y = 3 x 1

y = 3

So the point of intersection of this equation with the x-axis is (1, 3).

In the second equation, a = 6/8, and b = 4.

In the second equation, a = 6/8, and b = 4.

Plugging in x = 1, we get

y = 6/8 x (4)1

y = 3/4 × 4

y = 3

So the point of intersection of this equation with the x-axis is also (1, 3). So, both of these equations intersect at x = 1 and are of the form y=a x bˣ.

Therefore, the equations are y = 3(1)ˣ and y = 6/8 x (4).

Complete reference picture is attached below.

Using the digits 1 to 9 without repeating fill in the blanks to create a system of-example-1
User Ideasthete
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