Answer:
The Number of servings = 2 and the cost unit rate is 2.50
Step-by-step explanation:
When you look at the table, the number of servings counts by 2s and the cost($) counts by 2.50.
We have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=<span>14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
</span>(14x2 - 16x3 +14 - 2x4)
then
-2x4-16x3+14x2+14=0--------------> this is the <span>standard form
simplify </span><span>dividing the entire expression by two
</span><span>-x4-8x3+7x2+7=0
the answer is
</span>-x4-8x3+7x2+7=0<span>
</span>
Answer:
-1/2 or -0.5
negative half
Step-by-step explanation:
slope of regular line= (y1-y2) / (x1-x2)
(27-3) / (4 - -8)
24 / (4+8)
24 / 12 = 2
the slope of a perpendicular line is the negative reciprocal
the negative reciprocal of positive 2/1 (2 as a fraction) is:
negative half: -1/2 or -0.5
Answer:
12 fives and 18 tens
Step-by-step explanation:
solving this we need 2 different equations
one for he total bills and one for the total money
x+y=30
that is total bills
5x+10y=240
combining both equations we can use elimination method and get
12 five dollar bills and 18 ten dollar bills
9514 1404 393
Answer:
Step-by-step explanation:
The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.
That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.
If k is subtracted, instead of added, then the point will be moved downward.
The blanks are supposed to be filled with <u> positive </u>, and <u> negative </u>.
_____
<em>Comment on the question</em>
The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.
If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.