The expansion of the expression (x + 2y)² is x² + 4xy + 4y².
<h3>How to illustrate the information?</h3>
The given expression is (x + 2y)². The expansion of the expression will be:
(x + 2y)²
= (x + 2y)(x + 2y)
= x² + 2xy + 2xy + 4y².
= x² + 4xy + 4y²
The expansion is x² + 4xy + 4y².
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<h3><u><em>Answer</em></u></h3>
The mean of the numbers shown in the table is C. 50.5
<h3>__________________________________________________</h3><h3><em><u>Explanation</u></em></h3>
To calculate the mean, simply add up all the numbers and divide by the amount of numbers there are in the list.
18 + 55 + 101 + 96 + 55 + 18 + 22 + 23 + 22 + 57 + 88 = 555
There are 11 numbers in the table, so we divide by that.
555 / 11 = 50.45...
Finally, round to the nearest tenth: 50.5
<h3 />
The fraction
represents the number of women's magazines out of all the other magazines at the book store.
To find what percent of the magazines are women's magazines, we can turn
into a percent.
To write a fraction as a percent in lowest terms, first remember that a percent is a ratio of a number to 100 so to write 26/64 as a percent, we need to find a fraction equivalent to 26/64 with 100 in the denominator. We can do this by setting up a proportion.
40% is the answer
IMAGE PROVIDED.
(a) there are 8C2 = 28 ways of picking 2 girls from 8
And there are 21C4 = 5985 ways of picking 4 boys
Required number of ways for 2g / 4b = 28 * 5985 = 167,580
(b) at least 2 girls means combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or
6 girls.
2g/4b = 167,580 ways
3g/3b = 8C3 * 21C3 = 56 * 1330 = 74,480
4g/2b = 8C4* 21C2 = 70 * 210 = 14,700
5g 1b = 8C5* 21 = 56*21 = 1176
6 girls = 8C6 = 28
adding these up we get the answer to (b) which is 257,964
X^2 + 10 = 35 when x = -5
x + x + x = 3x = -15 when x = -5.
The answer is B because part A just restates the first equation, and Part C determines which is greater. If you want to determine the difference between the two when x = -5, part B is the best answer because it subtracts the product of one of them from the other.