<em>Answer:</em>
<em>a is greater than 1, so a−1 is positive.</em>
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<em>The distance between a and 1 appears to be less than the distance between 1 and 0, so it looks like a is less than 2. Thus a−2 is negative.</em>
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<em>b is negative, so −b is positive.</em>
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<em>The distance between a and 0 appears to be less than the distance between b and 0, so it looks like |a| is less than |b|. Since b is negative and a is positive, a+b is negative.</em>
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<em>a−b = a+−b. Since b is negative, −b is positive. a is also positive. Thus, a−b is positive.</em>
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<em>Since |a| and |b| are both greater than 1, |ab| is also greater than 1 (this builds on the intuition students gained in fifth grade as in 5.NF.5). ab is negative since a is positive and b is negative. Thus, ab+1 is negative.</em>
Answer:
(-3,-10)
Step-by-step explanation:
Given part a, you seem to know the midpoint formula. We can easily edit that to figure out what an endpoint is. Say that a variable "a" represents the x coordinate of D, and b the y coordinate. As the x coordinate of M is 0.5, and the x coordinate of C is 2, we can use the midpoint formula to say that 
. Multiplying both side by 2, we get that a+2=-1, and subtracting both sides by 2, a=-3. Similarly, 
, b+7=-3, and b=-10, making our answer (-3, -10). Let me know if you have any questions.
Answer: $0.04 per fluid ounce.
Step-by-step explanation:
Let's conver 2 quarts to ounces, as following:
You know that she buys a 2-quart bottle of juice (or 64 ounces) for $2.56, therefore, to find the unit rate of the cost of the juice you must divide $2.56 by 64 ounces.
Then, you obtain the following result:
( $0.04 per fluid ounce)
0 = 2 - 3y + 12x
0 = 12x - 3y + 2
3y = 12x + 2
3 3
y = 4x + ²/₃
Change the problem into an equation in slope-intercept form.
