(x^2+8x+16)-1-16 what is the vertex form
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The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!
The slope formula is
With the table, the TIME column can be "x"
The DISTANCE column can be "y"
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As coordinates, it would look like...
(0,0)
(20, 25)
(30, 37.5) and so on!
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All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!
Example:
solve!
= 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)
Let be the unknown number. So, three times that number means
, and the square of the number is
We have to sum 528 and three times the number, so we have
Then, we have to subtract this number from , so we have
The result is 120, so the equation is
This is a quadratic equation, i.e. an equation like . These equation can be solved - assuming they have a solution - with the following formula
If you plug the values from your equation, you have
So, the two solutions would be
But we know that x is positive, so we only accept the solution