The value of g(-5) from the given. function; g(x) = -x – 4 is; g(-5) = 1
<h3>Evaluation of functions</h3>
The given function is;
Hence, the value of g(-5) can be obtained by substituting -5 for x in the function as follows;
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The central tendency researcher use to describe these data is "mode".
<h3>What is mode?</h3>
The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Calculation of mode is done by-
- The number that appears the most frequently in a piece of data is its mode.
- Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode.
- The most frequent number is the mode.
- Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set.
- The figure with the largest total is the mode.
- Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.
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Answer:
(5x+20)+(4x-11)=180(linear pair)
9x+9=180
9x=180-9
9x=171
x=171/9
x=19
now,
(2y+19)+(5x+20)=180(co-interior angle)
2y+19+5×19+20=180
2y+134=180
2y=180
y=180/2
y=90
Answer:
it si this
Step-by-step explanation:
Simplifying
4y + -10 = 5 + -1y
Reorder the terms:
-10 + 4y = 5 + -1y
Solving
-10 + 4y = 5 + -1y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add 'y' to each side of the equation.
-10 + 4y + y = 5 + -1y + y
Combine like terms: 4y + y = 5y
-10 + 5y = 5 + -1y + y
Combine like terms: -1y + y = 0
-10 + 5y = 5 + 0
-10 + 5y = 5
Add '10' to each side of the equation.
-10 + 10 + 5y = 5 + 10
Combine like terms: -10 + 10 = 0
0 + 5y = 5 + 10
5y = 5 + 10
Combine like terms: 5 + 10 = 15
5y = 15
Divide each side by '5'.
y = 3
Simplifying
y = 3