Create a problem that would have the answer 3x+12
1 answer:
Answer:
Problem:
Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width. Take width as 'x'.
Step-by-step explanation:
Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width.
Let the width be 'x'.
Therefore, as per question, length is 12 more than thrice the width.
Thrice the width means . 12 more means adding 12 to the result.
Therefore, the length of the rectangle is
So, the above question expresses the length of the rectangle as which is the required answer.
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Answer:
The area of this rectangle is:
Step-by-step explanation:
The formula for the area of a rectangle is :
To work this out you would simply multiply the length of 14 by the width of 6.5, which gives you .
Remember when working out the area of any shape the answer will always be in the unit squared.
1) Multiply 14 by 6.5.
By "slope" I assume you mean slope of the tangent line to the parabola.
For any given value of <em>x</em>, the slope of the tangent to the parabola is equal to the derivative of <em>y</em> :
The slope at <em>x</em> = 1 is 5:
The slope at <em>x</em> = -1 is -11:
We can already solve for <em>a</em> and <em>b</em> :
Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when <em>x</em> = 2:
So the parabola has equation