Answer: always
Step-by-step explanation:
The quotient of the synthetic division is x^3 + 3x^2 + 4
<h3>How to determine the quotient?</h3>
The bottom row of synthetic division given as:
1 3 0 4 0
The last digit represents the remainder, while the other represents the quotient.
So, we have:
Quotient = 1 3 0 4
Introduce the variables
Quotient = 1x^3 + 3x^2 + 0x + 4
Evaluate
Quotient = x^3 + 3x^2 + 4
Hence, the quotient of the synthetic division is x^3 + 3x^2 + 4
Read more about synthetic division at:
brainly.com/question/18788426
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Step-by-step explanation:
This is a linear equation in slope intercept form which is

where m is the slope and b is the y intercept.
The equation

Has a slope of -1/3 so this means that the slope will be decreasing. A negative linear equation increases as we go left. and decreases as we go right. The y intercept is 2. So this means the graph must pass through (0,2) and when x=0, y must be 2.
In other words, look for a line that the y values increase as we go left and decrease we go right. Also look for a point (0,2) and make sure the graph pass through it.

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Answers:
14 + 18 ÷ 2 x 18 – 7 = 169
- 14 + 9 * 18 - 7
- 14 + 162 - 7
- 169
60 – 9 x 8 ÷ 8 x 6 = 6
- 60 - 72 / 8 * 6
- 60 + -216/4
- 60 - 54
- 6
15 x 10 + 12 ÷ 3 + 9 = 163
- 150 + 12 / 3 + 9
- 150 + 4 + 9
- 163
(10 ÷ 5)3 + 100 – 9 x 11 = 7
- 2 * 3 + 100 - 9 * 11
- 6 + 100 - 99
- 7
8 x 4 + 9 – 9 + 18 = 50
- 32 + 9 - 9 + 18
- 41 - 9 + 18
- 32 + 18
- 50
3 x 8 x 2 – 42 + 5 = 11
- 24 * 2 - 42 + 5
- 48 - 42 + 5
- 11
<em>i hope this helps, good luck :)</em>