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Continue Learning about Algebra

In which direction does the x-axis run?

Generally the x-axis is displayed on a 2-dimensional Cartesian Coordinate system running horizontally (left to right - for negative to positive values of x) In a 3-D graph, the x-axis is usually shown running diagonally from upper right to lower left (for negative to positive values of x) . In a 3-D graph, the y-axis is the one running horizontally and the z-axis is vertical.


What is an easy way to multiply integers that are negative and positive?

Just remember these rules:Multiplying two negatives results in a positiveMultiplying two positives results in a positiveMultiplying a negative with a positive results in a negativeMultiplying a positive with a negative results in a negative1) If you are multiplying a positive and a negative number just multiply the numbers and put the negative sign beside the product. The negative sign gives the direction on the number line. For example, if we have, (-2)(3) = -6. It means three times two gives 6 in the negative direction of the number line. Otherwise you can say (-2) + (-2) + (-2) = -6 2) If you are multiplying a negative number with a negative number just multiply the numbers and put the positive sign (probably no sign). There may not be a rigorous proof. But, it could be shown as follows:Before that remember this: For any number a,1) a.0 = 0.a = 02) a + (-a) = (-a) + a = 0 -a is called as additive inverse or the opposite of a.3) a(b + c) = a.b + b.c This is called as distributive property.4) Adding a constant on both the sides of an equation will not affect the equation.(-1)(0) = (-1)[1 – 1]0 = (-1)(1) + (-1)(-1)0 = -1 + (-1)(-1)0 + 1 = -1 + 1 +(-1)(-1)1 = (0) + (-1)(-1)1 = (-1)(-1)Source: www.icoachmath.com


Does 2 to the negative power of 1 equal negative 2?

No, 2-1 = 1/2 The property can be shown as follows. A-y = 1/Ay (2/3)-2 = (3/2)2


What is the range for the function graphed as shown?

As shown, the function has neither range nor domain.


What is the slope of the line shown below?

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