- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept.
If two lines are perpendicular, then they will have slopes that are <u>negative reciprocals</u> to each other. An example of negative reciprocals are 2 and -1/2
<h2>6.</h2>
Now with line 2, I have to convert it to slope intercept form. Firstly, subtract 2x on both sides of the equation: 
Next, divide both sides by -5 and your slope-intercept form is 
Now since 2/5 is <em>not</em> the negative reciprocal of -2/5, <u>these lines are not perpendicular.</u>
<h2>7.</h2>
It's pretty much the same process; convert to slope-intercept and determine if negative reciprocal. This time I'll brush through them:
Now since 2 <em>is</em> the negative reciprocal of -1/2, <u>these lines are perpendicular.</u>
<span>Your expenses exceed your income. You should cut back your B. variable costs.
Since this isn't your fixed cost that you pay every month, you should try and cut back these, so as to save some money and stop your expenses from exceeding your income.
</span>
To get the variance, start with finding the mean of your data points:
(23 + 19 + 22 + 30 + 28) / 5 = 24.4
Now take each data point and subtract the mean from it, then square that value:
23 - 24.4 = -1.4 * -1.4 = 1.96
19 - 24.4 = -5.4 * -5.4 = 29.16
22 - 24.4 = -2.4 * -2.4 = 5.76
30 - 24.4 = 5.6 * 5.6 = 31.36
28 - 24.4 = 3.6 * 3.6 = 12.96
Now get the average of those new numbers. That is your variance:
(1.96 + 29.16 + 5.76 + 31.36 + 12.96) / 5 = 16.24
The standard deviation will be the square root of the variance:
√(16.24) = 4.0299 (rounded to 4DP)
Answer: (1,6)
Step-by-step explanation:
2(1) + (6) = 8
2 + 6 = 8
8=8
TRUE
(6) = 3(1) + 3
6 = 3 + 3
6=6
TRUE
Answer: Quadratic; 6x^2, x, -12
Detailed Explanation:
The highest power of the function (degree) is 2. Therefore it is a quadratic function. The quadratic term is 6x^2 since its power is 2, the linear term is x since its power is 1 and the constant term is -12.
