I think 2003000000 is the answer
<h3>
Answer: -4</h3>
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Explanation:
We can pick any two rows from the table to get the (x,y) points needed to find the slope.
Let's say we pick the second and third rows
Subtract the y values: 14-6 = 8
Subtract the x values in the same order: 1-3 = -2
Divide the differences: 8/(-2) = -4
The slope is -4
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You can use the slope formula
Let's say the points are (x1,y1) = (1,14) and (3,6)
m = (y2-y1)/(x2-x1)
m = (6-14)/(3-1)
m = -8/2
m = -4
It's the same basic idea as the previous section. You subtract the y values together (y2-y1) and the x values together (x2-x1) and divide the differences to get m. The order of subtraction doesn't matter as long as you stay consistent. If you do something like y2-y1 and x1-x2, then you'll get the wrong slope value.
Answer:
- 18x + 15y ≤ 300
- x ≥ 0; y ≥ 6
Step-by-step explanation:
Variables are defined in the problem statement.
18x +15y ≤ 300 . . . . total budget
y ≥ 6 . . . . . . . . . . . . minimum number of annuals
x ≥ 0 . . . . . number of perennials cannot be negative
This system of inequalities describes the situation.
Let
be the length of the rectangle and
be the width. In the problem it is given that
. It is also given that the area
. Substituting in the length in terms of width, we have
. Using the zero product property,
. Solving these we get the width
. However, it doesn't make sense for the width to be negative, so the width must be
. From that we can tell the length
.
