Answer:
Step-by-step explanation:
<h3><u>Given functions:</u></h3>
- f(x) = 4x² - 6
- g(x) = x² - 4x - 8
<h3><u>Solution:</u></h3>
Subtract both functions
(f-g)(x) = 4x² - 6 - (x² - 4x - 8)
(f-g)(x) = 4x² - 6 - x² + 4x - 8
Combine like terms
(f-g)(x) = 4x² - x² + 4x - 6 - 8
(f-g)(x) = 3x² + 4x - 14
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
Data;
- mean = 5.82
- s = 4.93
- n = 600
<h3>Test-Static t </h3>
Let's calculate the t-value
Substitute the values into the equation and solve;
The t-value is 4.079.
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
Learn more on t-test here;
brainly.com/question/6501190
Perpendicular line: y = 2x+4
parallel line: y = -2x+3 (or any number different from 4)
neither: y= -4x+-3
Answer:
last week = 150 minutes
this week = 162 minutes
changes = 162-150
= 12 minutes
percentage of changes = (12/150) × 100
= 8%
Answer: The second description is correct for the absolute value of x
Main details: Horizontal line from 0 to the dot 6 ticks to the left, and 6 written above the line
Step-by-step explanation: breaking it down:
A number line is shown from negative 6 to positive 6 with increments of 1. All the numbers are labeled on the number line. The first part is the same in all of the descriptions
<u>A dot is shown on a point at 6 tick marks to the left of 0. </u> <em>This represents -6 on the number line. </em>
Above the number line, a bracket is shown <u>extending from a point at 6 tick marks to the left of zero to 0.</u><u> </u> This shows the distance between 0 and -6. Important. Absolute value is the distance between two numbers
A horizontal line is shown between the brackets, <em>This is the measuring line 6 units long.</em>
<u> and 6 is written on the line.</u><u> </u> Important. It is a plain number, no negative or positive! Absolute value is just that.
