That's 5 integers...
Logic tells me that a number divided by 5 should be equal to -3. -15/5 is in fact equal to -3.
Let's find 5 integers (two positive and three negative) when added up together equal -15.
-14, -3, -3, 2, 3.
[(-14)+(-3)+(-3)+2+3]/5 = (-15)/5 = -3
Mean = -3
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Now let's put these numbers in order, from lowest to highest - then pick out the middle value...
-14, -3, [-3], 2, 3
The median turns out to be -3.
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Let's look at the numbers once again...
-14, -3, -3, 2, 3
It turns out that -3 appears the most, therefore -3 is the mode too.
For #32, the answer is the third one because you mixed up your x and y values, you were on the right track though
#33 is the last one
Answer:
The line passing through (-8, 10) and (-1, 4).
Step-by-step explanation:
Two lines are perpendicular if the product of their slopes is -1. The slope of the line in the picture is
, so we should find a line with slope of
.
Note that the slope of the line in the last option is
.
Answer:
5x
Step-by-step explanation:
I think the problem was.
3(3x - 2y) - (4x - 6y)
9x - 6y - 4x + 6y
5x
Assignment: ![\bold{Solve \ \left(-2x^2\right)^3\cdot \:3x}](https://tex.z-dn.net/?f=%5Cbold%7BSolve%20%5C%20%5Cleft%28-2x%5E2%5Cright%29%5E3%5Ccdot%20%5C%3A3x%7D)
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Answer: ![\boxed{\bold{-24x^7}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cbold%7B-24x%5E7%7D%7D)
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Explanation: ![\downarrow\downarrow\downarrow](https://tex.z-dn.net/?f=%5Cdownarrow%5Cdownarrow%5Cdownarrow)
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[ Step One ] Rewrite ![\bold{\left(-2x^2\right)^3}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cleft%28-2x%5E2%5Cright%29%5E3%7D)
![\bold{-2^3\left(x^2\right)^3}](https://tex.z-dn.net/?f=%5Cbold%7B-2%5E3%5Cleft%28x%5E2%5Cright%29%5E3%7D)
[ Step Two ] Rewrite Equation
![\bold{-2^3\cdot \:3x^6x}](https://tex.z-dn.net/?f=%5Cbold%7B-2%5E3%5Ccdot%20%5C%3A3x%5E6x%7D)
[ Step Three ] Apply Exponent Rule
Note: ![\bold{Exponent \ Rule \ \:a^b\cdot \:a^c=a^{b+c}: \ x^6x=\:x^{6+1}=\:x^7}](https://tex.z-dn.net/?f=%5Cbold%7BExponent%20%5C%20Rule%20%5C%20%5C%3Aa%5Eb%5Ccdot%20%5C%3Aa%5Ec%3Da%5E%7Bb%2Bc%7D%3A%20%5C%20x%5E6x%3D%5C%3Ax%5E%7B6%2B1%7D%3D%5C%3Ax%5E7%7D)
![\bold{-2^3\cdot \:3x^7}](https://tex.z-dn.net/?f=%5Cbold%7B-2%5E3%5Ccdot%20%5C%3A3x%5E7%7D)
[ Step Four ] Refine
![\bold{-24x^7}](https://tex.z-dn.net/?f=%5Cbold%7B-24x%5E7%7D)
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