Answer:
2/3 x - 2y ≥ 1⇒ y≤ 1/3 x -1/2
(1,6) holds false for the inequality
(2,3) false
(3,2) false
(6,1) holds true for the inequality
The solution (shaded area) lies below the boundary line, which is y = 1/3 x -1/2
Next time, just use a calculator...it's 5. Hope I helped!!! Please 5 star and thank!
Answer: Choice D)
S(x) = 6x^2 - 20x
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Explanation:
x = side length of base
x*x = x^2 = area of base
The top also has an area of x^2 since the base and top are both congruent squares. The total base area is x^2+x^2 = 2x^2
The height h is 5 inches shorter than the base, so
h = (base length) - 5
h = x-5
Each lateral side is of area h*x = (x-5)*x = x^2-5x
There are 4 lateral sides
Total lateral area = 4*(area of one lateral side)
Total lateral area = 4*(x^2-5x)
Total lateral area = 4*x^2-4*5x
Total lateral area = 4*x^2-20x
Add the total lateral area (4x^2-20x) to the total base area (2x^2)
Doing so gets us
S(x) = Total Surface Area
S(x) = (Area of bases) + (area of lateral sides)
S(x) = (2x^2) + (4x^2-20x)
S(x) = (2x^2+4x^2) - 20x
S(x) = 6x^2 - 20x
which is why the answer is choice D
100,203 in word form is one hundred thousand, two hundred three (1 x 100000) + (0 x 10000) + (0 x 1000) + (2 x 100) + (0 x 10) + (3 x 1) (1x1,000)+(2x3)
Answer:
The mean is the average of a data set. You can find the mean by adding all of the numbers in the guven set of data and then divide by the total number of values in a set.
Step-by-step explanation:
for example:
2, 6, 8, 13, 16, 11, 7
add all of these numbers together
the total would be 63
there are 7 numbers in the data set so you would divide 63 by 7
the mean of the data set would be 9
