Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
The answer is (8,-9)
Step-by-step explanation:
The best way to go about this type of problem is by visualizing the translations at hand. We know that X comes first, (X,Y), in an ordered pair. The X coordinate is in regards to where the point is on the X axis, or left/right movement, whilst the Y is for up and down. As the problem states that the point is moved four units down, we can simply subtract 4 from the y coordinate, as it is in regards to up/down motion. This brings the new point to (-2,-9). As for reflections, if it is over the X axis the y coordinate sign is flipped and if it is over the y, as in the problem, the x coordinate sign is flipped. This will bring the new set to (2,-9). Lastly, there is the translation 6 units up. As we have learned, this is an up/down translation, so it pertains to the y coordinate. The final operation is to ADD 6 to the y coordinate thus bringing us to the final answer: (8,-9).
Answer:
D. 0.019 years of age per year
Step-by-step explanation:
For this case what you should do is take 15% of 22.50 and add it to the original price. We have then:
((15) / (100)) * (22.50) = 3.375
Then, we add to the original price:
22.50 + 3.375 = 25.875
round to the nearest cent
25.88
answer
C.$25.88
Answer:
Step-by-step explanation:
Without a second equation relating x and y, we can solve 3x - 1/2y = 2 ONLY for x in terms of y or for y in terms of x:
x in terms of y: Multiply all three terms of 3x - 1/2y = 2 by 2, to eliminate the fraction: 6x - y = 4. Now add y to both sides to isolate 6x: 6x = 4 + y.
Last, divide both sides by 6 to isolate x:
x = (4 + y)/6
y in terms of x:
y = 6x - 4
If you want a numerical solution, please provide another equation in x and y and solve the resulting system.
