Answer:
<em>Any width less than 3 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:
A = L.W
The first condition can be written as follows:
LW < 18
The length should be 3 feet longer than the width, thus:
L = W + 3
Substituting in the inequality:
(W + 3)W < 18
Operating and rearranging:
Factoring:
(W-3)(W+6)<0
Since W must be positive, the only restriction comes from:
W - 3 < 0
Or, equivalently:
W < 3
Since:
L = W + 3
W = L - 3
This means:
L - 3 < 3
L < 6
The width should be less than 3 feet and therefore the length will be less than 6 feet.
If the measures are whole numbers, the possible dimensions of the garden plot are:
W = 1 ft, L = 4 ft
W = 2 ft, L = 5 ft
Another solution would be (for non-integer numbers):
W = 2.5 ft, L = 5.5 ft
There are infinitely many possible combinations for W and L as real numbers.
Answer:
step 1. A, B,D are incorrectly written as these are not all coordinates. they must be written (x, y)
step 2. so the question becomes is C a quadratic
step 3. The x values must be evenly spaced. the x values are evenly spaced by a difference of 4
step 4. write out the y values: -126, -14, 2, 18
step 5. write out the differences: 140, 16, 16
step 6. write out the differences: -124, 0.
step 7. after doing this twice the numbers nust be the same for this to be a quadratic which they aren't
step 8. C is not a quadratic.
Answer:
y=4x-3
then add 3 to each side to get: y+3=4x.
Next, just divide both sides by 4 to get x = (y+3)\div4.
Answer:
32.4
Step-by-step explanation:
prior + 8.1 = 40.5 . . . . . . seems to model the problem statement
prior = 32.4 . . . . . . . subtract 8.1 from both sides
Prior to the increase the percent was 32.4.
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<em>Comment on the problem statement</em>
When you're talking about a percentage increase in a percentage, it is almost never clear whether you're talking about the percentage of the underlying number, or the percentage of the percentage.
Here, we assume the 8.1 is a percentage of working students, not a percentage of the percentage of workings students. If you actually intend the latter, the percentage before the increase was about 37.465%.
Answer:
I don't know this but when I do I'll tell you :))
Step-by-step explanation:
