The answer is the second choice:
a, if a is greater than or equal to 0 and
-a, if a is less than or equal to 0
You can check this by testing out values.
The absolute value of 5 is 5 while the absolute value of -5 is -(-5) or 5. This follows the chosen function.
Answer:
see below
Step-by-step explanation:
domain is all x values for which a graph has
and range is all y values for which a graph has
domain in this case is -4<x<4. The range is -3<= x <= 3
Function is increasing when slope of the line is positive, function is decreasing when slope of the line is negative.
When 2 lines meet and there is an edge like at (-1,3) there is no increase of decrease of the function. If you are in calculus, this is because the derivative of the function will not be valid at those points. If you are not in calculus, then don't pay attention to the derivative stuff.
Function is increasing on interval -4<x<-1 and 2<x<4
Function is decreasing on interval -1<x<2
The sum of the first 8 terms is 2.51 to the nearest hundredth
Step-by-step explanation:
In the geometric sequence there is a constant ratio between each two consecutive terms
The formula of the sum of n terms of a geometric sequence is:
, where
- a is the first term
- r is the constant ratio between the consecutive terms
∵ The sequence is 6 , -5 , 25/6 , .............
∵ -5 ÷ 6 =
∵ ÷ -5 =
- There is a constant ratio between the consecutive terms
∴ The sequence is a geometric sequence
∵ The first term is 6
∴ a = 6
∵ The constant ratio is
∴ r =
∵ We need to find the sum of 8 terms
∴ n = 8
- Substitute the values of a, r and n in the rule above
∴
∴
- Round it to the nearest hundredth
∴
The sum of the first 8 terms is 2.51 to the nearest hundredth
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
#LearnwithBrainly
Answer:
<em> 108 degrees</em>
Step-by-step explanation:
From the diagram we are given
Interior angles are 2x + 1 and 63 degrees
Exterior angle = 5x -2
The sum of interior angles is equal to the exterior angle
2x + 1 + 63 = 5x - 2
2x + 64 = 5x - 2
2x - 5x = -2-64
-3x = -66
x = -66/-3
x = 22
Get the exterior angle:
Exterior angle = 5x-2
Exterior angle = 5(22) - 2
Exterior angle = 110-2
Exterior angle = 108 degrees
<em>Hence the measure of the exterior angle is 108 degrees</em>