What is the maximum height the cricket reaches?
2 answers:
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<h3>Answer:</h3>
- f(1) = 2
- No. The remainder was not 0.
Synthetic division is quick and not difficult to learn. The number in the upper left box is the value of x you're evaluating the function for (1). The remaining numbers across the top are the coefficients of the polynomial in decreasing order by power (the way they are written in standard form). The number at lower left is the same as the number immediately above it—the leading coefficient of the polynomial.
Each number in the middle row is the product of the x-value (the number at upper left) and the number in the bottom row just to its left. The number in the bottom row is the sum of the two numbers above it.
So, the number below -4 is the product of x (1) and 1 (the leading coefficient). That 1 is added to -4 to give -3 on the bottom row. Then that is multiplied by 1 (x, at upper left) and written in the next column of the middle row. This proceeds until you run out of numbers.
The last number, at lower right, is the "remainder", also the value of f(x). Here, it is 2 (not 0) for x=1, so f(1) = 2.
Answer:
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Step-by-step explanation:
Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as
and
**
Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.
* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.
**Rise over run refers to the change in the y-axis and the change in the x-axis: . Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.
Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:
and
Then, using (-5,-3) and your new points, add them separately:
(-4,-5) is one point
(-6,-1) is another point. Connect the three points. You can check your work on the graph:
