By using Associative, Commutative, and Distributive Properties in performing operations on complex numbers and polynomials, you would be able to simplify correctly and simply. To combine complex numbers, you must distribute any coefficients in front of the parentheses. Then identify and<span>combine like terms by combining the real number parts and the imaginary number parts separately.</span>
Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
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<h3>slope</h3>
The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
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<h3>equation</h3>
The slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
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<em>Additional comment</em>
When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
Answer:
How many pounds does each person eat??
Step-by-step explanation:
Replace X in the equation with the values in the table and calculate:
2X-5:
2(-4) -5 = -8 -5 = -13
2(-2)-5 = -4-5 = -9
2(1)-5 = 2-5 = -3
2(3)-5 = 6-5 = 1
2(5)-5 = 10-5 = 5
Answer:
1 and 6/35
Step-by-step explanation:
You would want to multiply the denominators with the same number.
5×7
Multiply the numerators as well.
3×7 and 4×5
The fractions you would have now is 21/35 and 20/35, you can now add them up without having difficulties if the denominator is the same number.
You can also change it into decimals but I suggest this strategy.