Comparing with the original expression, the value that will go into the green box is 5
<h3>Exponents and indices</h3>Given the indices expression below;
Since 4^-5 is equivalent to 1/4^5, hence the given expression will be equivalent to;
Comparing with the original expression, the value that will go into the green box is 5
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<h2>Step-by-step explanation:</h2>The most famous of the step functions is the greatest integer function, which is denoted by the parent function .
So, this function is defined as:
.
These are the characteristics of this function:
The function represents the parent function shifted 2 units downward. Therefore, the correct option has been chosen in the attached figure.
The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.
Now that we have two points, we can solve for slope m
Now that we have both m and b. Substitute these values to the slope intercept form