Answer:
Mean: $16.1
Median: $15.00
Mode:$15.00
The mode best describes the data, so the mean is the better measure of variability.
Step-by-step explanation:
How to find the mean:
Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)
How to find the median: Order your values from least to greatest, then find the value in the center.
How to find mode: Look for the most frequent value in the data set. What value shows up the most?
Answer:
x+12x+35
Step-by-step explanation:
use the FOIL method!
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
![\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%28a%20%2B%20b%29%28a%20-%20b%29%7D)
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) <em>(expand)</em>
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
![\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }](https://tex.z-dn.net/?f=%5Cboxed%7B%28a%20-%20b%29%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20-%202ab%20%5C%3A%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%7D)
![\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }](https://tex.z-dn.net/?f=%5Cboxed%7B%28a%20%2B%20b%29%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%202ab%20%5C%3A%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%7D)
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 <em>(</em><em>expand</em><em>)</em>
= 4x² -4xy -4y -4 <em>(</em><em>simplify</em><em>)</em>
<span>Isabella can buy together 5 paintbrushes ( p ) and jars of paint ( p ) : j + p = 5, She can`t buy 4 items ( because 4 * $0.99 = $3.96 < $4.87 ) and she also can`t buy 6 items ( 6 * $0.95 = $5.70 > $4.87 ). So: p = 5 - j. Another equation is: 0.95 * ( 5 - j ) + 0.99 j = 4.87, 4.75 - 0.95 j + 0.99 j = 4.87; 0.04 j = 0.12; j = 0.12 : 0.04; j = 3, p = 5 - 3 = 2. We can prove it: 0.95 * 2 + 0.99 * 3 = 1.90 + 2.97 = 4.87. Answer: Isabella buys 2 paintbrushes and 3 jars of paint. </span>
The slope of the given line is 1/3.
The perpendiculars all have the negative reciprocal slope, -3.
<span>A. y + 2 = -3(x-4)
Yes, slope -3.
B. y - 5 = 3(x+11)
No, slope 3.
C. y = -3x - 5/3
Yes, slope -3.
D. y = 1/3 x - 2
No, that's slope 1/3.
E. 3x + y = 7
</span>
That's
y = -3x + 7
Another slope -3, Yes.