Simplify 12 to the sixteenth power over 12 to the fourth power.

Mathematics

1 answer:

marishachu [46]3 years ago

3 0

The answer is 8916100448256

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Which of the following rules could represent the function shown in the table?

kvasek [131]

ANSWER

The rule is given by the relation,

$y = 2x + 1$

EXPLANATION

We need to check and see if there is a constant difference between the y-values.

$1 - - 1 = 2 = 3 - 1$

We can see that, there is a constant difference of 2.

This means that the table represents a linear relationship.

Let the rule be of the form,
$y = mx + c$

Then the points in the table should satisfy the above rule.

So let us plug in

$(0,1)$

This implies that,

$1 =m (0) + c$

$1 = 0 + c$

$c = 1$

Our rule now becomes,

$y = mx + 1 - - (1)$

We again plug in another point say, (-1,-1) in to equation (1) to get,

$- 1 = m( - 1) + 1$

we solve for m now to obtain,

$- m=-1-1$

$- m = - 2$

$m = 2$
We now substitute back in to equation (1) to get

$y = 2x + 1$

5 0

3 years ago

Read 2 more answers

The figure will be dilated by a scale factor of 1.2. Find the new length. W: 25 in L: 40 in

Ghella [55]

The new length and width is 48in and 40in respectively

<h3>Dilation</h3>

Given the following information