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yarga [219]
3 years ago
8

Which characteristics of a graph tell you that it represents a proportional relationship?​

Mathematics
2 answers:
pochemuha3 years ago
4 0

If a line goes through the origin , then it shows a proportional relationship, at this stage , y intercept is zero.

Step-by-step explanation:

netineya [11]3 years ago
4 0

Answer: Sample Response: You can tell a graph is proportional if the points form a single line and that line passes through the origin. The relationship between input and output figures will also remain the same throughout.

Explanation: It was the sample response but if you don't want it to look the same just be sure to include these ideas:

-The points will form a straight line.

-The straight line will pass through the origin.

-The ratio of input and output is always the same.

Good luck!

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Step-by-step explanation:

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Step-by-step explanation:

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15. Divide the polynomial x^3 + x^2 - 2x + 3 by (x - 1).​
Stels [109]

Answer:

x² + 2x + [3\x - 1]

Step-by-step explanation:

Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

1| 1 1 -2 3

↓ 1 2 0

------------------

1 2 0 3 → x² + 2x + [3\x - 1]

You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder, which in this case is a 3, so what you is set the divisor underneath the remainder of 3. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², 2 becomes <em>2x</em><em>,</em><em> </em>and the remainder of 3 is set over the divisor, giving you the other factor of <em>x² + 2x + [3\x - 1]</em>.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

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