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3 years ago

If

x} = 6x" align="absmiddle" class="latex-formula">
find x

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

Answer:

x = 1, 0.271

Step-by-step explanation:

$\frac{6^{x} }{6} = x\\\\6^{x-1} = x\\x = 1\\$

Check by graphing.

Graph $y = 6^x\\y = 6x$

Another solution: x = 0.271

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Read 2 more answers

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See explanation

Step-by-step explanation:

You have to graph the system of inequalities presented as

$\left\{\begin{array}{l}y$

Part A:

1. Draw a dotted line $y=4x-2$ (dotted because the sign < is without notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:

$0$

Since this inequlity is false, the origin doesn't belong to the shaded region, so you have to shade that part which doesn't contain origin (red part in attached diagram).

2. Draw a solid line $y=-\frac{5}{2}x-2$ (solid because the sign ≥ is with notion "or equal to"). Select one of two regions by substituting the coordinates of origin into inequality:

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Part B:

Plot point (-2,-2). Since this point doesn't belong to the solution area, this is not a solution of the system of two inequalities. You can check it mathematically - substitute x=-2 and y=-2 into the system:

$\left\{\begin{array}{l}-2$

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