If you triple the sugar and half it its a cup 1/8 of sugar or around that
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Answer:
transitive property of equality
Step-by-step explanation:
The transitive property of equality says ...
if a = b and b = c, then a = c.
Here, we can use this form with ...
a = 2x+4
b = y
c = 3x-6
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We have ...
a = b ⇒ 2x +4 = y
b = c ⇒ y = 3x -6
so, ...
a = c ⇒ 2x +4 = 3x -6 . . . . transitive property of equality.
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On the other hand, ...
The substitution property of equality says ...
if a = b, we can use b wherever 'a' is seen.
We can use this with ...
a = y
b = 3x -6
and do the substitution in the equation ...
2x +4 = y
Replacing y with its equal, we get ...
2x +4 = 'a' ⇒ 2x +4 = 'b' ⇒ 2x +4 = 3x -6 . . . . substitution property of equality
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<em>Additional comment</em>
These are two different ways to say that <em>anything can be replaced by its equal</em>.
Step-by-step explanation:
we have two lines you have to draw.
one is all in the bottom left quadrant (for x<=0) and one in the upper right quadrant (for x>5).
the easiest is for x>5. the line function is only
f(x) = y = 3
so, this is a horizontal line on the grid line for y = 3. it starts above x=5 and then goes all the way to the right ("to infinity and beyond !"). just, if possible, mark the starting point at x=5 as a little empty "circle" instead of a full dot, as x=5 is explicitly excluded (due to x>5).
and for x<=0 the line
f(x) = y = 4x - 3
goes sharp down but goes a little bit to the left the further down it goes. it starts with x=0, which gives y=-3 per the function.
so, the starting point (with a full dot, as x=0 is included) is (0,-3).
from there it goes sharp down and a little bit to the left.
for example the next point is for x=-1, which gives y=-7, so it is the point (-1,-7). x=-2 gives y=-11 and the point (-2,-11).
the line has to go through so these points and further down (again, "to infinity and beyond !"), as to move further left on the negative x-axis.
the 2nd is for right and the 3rd is for left...
Answer:
1 box contains x and 2 boxes contain negative signs.
Step-by-step explanation:
Representing x minus 2 using algebra tiles ;
x is positive ; Coefficient of x
2 is negative
Hence,
One box will will contain x (since the Coefficient of x is one)
The other value is a constant, hence the value if its Coefficient ; this means we'll have 2 boxes of negative sign.