Hi there!
I'm just gonna answer this and explain as I'm doing it.
So we have (3x10)x8= __x(10x8)
Well, first we look at what they did. They couldn't have changed the equation, but just moved things around.
Now, assuming you know your properties, I'm gonna go ahead and answer it.
(3x10)x8=3x(10x8)
^^
I used the Associative property, which basically says that when 3 or more #s are multiplied, the answer doesn't change no matter how you group the numbers. See how they just moved the numbers around, and only swapped the 3 for the 8?
Hope this helped!
Answer:
A
Step-by-step explanation:
x = 0
y = -3
A rational number can be expressed in the form
where a and b are integers
Otherwise irrational
Note that
,
,
are all irrational
=
→ rational
→ irrational
→ irrational
=
→ rational
→ irrational
Where's the so-called "parabola tool?"
The vertex is relatively easy to find. Find the midpoint of the segment of the x-axis connecting x=2 and x=6; it is x=4. Then evaluate the function at x=4:
f(4) = (4-2)(4-6) = 2(-2) = -4. The vertex is at (4,-4).
Plot (4,-4). Then (arbitrarily) let x=0 and find y: f(0) = y = (-2)(-6) = -12.
So, when x = 0, y = -12.
Plot this point (1, -12). realize that the parabola is symmetric about the line x=4. (1,-12) is 3 units to the left of the axis of symm, and thus another point on the parab. is 3 units to the right of this axis, x= 7. Plot (7,-12). Now draw the parabola thru (7,-12), (1, -12) and (4, -4). The parab. opens up.
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