When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.
u(x) ≥ 0.
9x + 27 ≥ 0 by squaring both sides
9x ≥ -27
x ≥ -3
So the domain of the function is when x ≥ -3 is true.
X + 0.12x = 31360
1.12x = 31360
x = 31360/1.12
x = 28,000 <===
Answer:
x = 23, and y = 27.
Step-by-step explanation:
Lets say,
x = width
y = length
this means,
x(2) + y(2) = 100
It also says that the width is 4 meters less than the length.
if we put that into equation form it would look like this,
y - 4 = x
using these 2 equations, we can use the subustusion method to find the x.
x(2) + y(2) = 100
turns in to this :
step 1. (y - 4) (2) + y(2) = 100 - given
step 2. 2y -8 + 2y = 100 - distribute
step 3. 4y -8 = 100 - Combine like terms
step 4. 4y = 108 - Get rid of the 8
step 5 4y/4 = 108 /4 - divide
step 6 . y = 27
So if y is 27, then
x(2) + 27(2) = 100
x(2) + 54 = 100
100 - 54 = 46, so x(2) is 46, but to get x, we need to divide 46 by 2, since x multiplied by 2 equals 46.
46 / 2 = 23 = x
so x = 23, and y = 27.
and the rule that y - 4 = x still applies, since 27 - 4 = 23.
I hope this wasn't confusing! It did take a long time tho.
6. Often, judging the symmetry and skewness of such distributions is not easy to do by eye, especially when they are asymmetrical or skewed in different ways. Here, the mean of set A is about 7, so the data is skewed to the left more than for set B, which has a mean of about 5.4--closer to the middle of the range.
Both data sets have the same range: 2–10. Set A's mode of 8 is higher than set B's mode of 6.
Hence, the only true statement appears to be
... B. Set B has the lesser mean.
7. For each of the 3 choices of meat, there are 3 choices of bread, and for each of any of those 9 choices, there are 4 choices of condiment—a total of 3×3×4 = 36 choices in all. The best answer is ...
... C. 36
8. The pie chart tells you 5% of the $4800 of monthly income is spent on transportation. That amount is .05×$4800 = ...
... C. $240
The factors of 7are -1 and 7 or 1 and -7, the factors of 14 are 1, 2, 7, and 14, or -1, -2, -7,-14. so the list of potential zeros are: 1/1, 1/2, 1/7, 1/14, 7/1,7/2, 7/7, 7/14, which can be simplified into 1, 1/2,1/7, 1/14, 7, 7/2
add the negative ones: -1, -1/2,-1/7, -1/14, -7, -7/2
I believe there are a total of 12 potential zeros
reference:
http://www.sparknotes.com/math/algebra2/polynomials/section4.rhtml
