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BARSIC [14]
3 years ago
9

Determine the answer to (−5) + 4 and explain the steps using a number line (5 points)

Mathematics
2 answers:
sweet [91]3 years ago
8 0

Hello,

The correct answer is -1.

(Drawing the number line)

Draw a number line on a piece of paper. Write a 0 in the middle. Then on the left side on the number line write the numbers -1 to -5. On the right side of the number line draw the numbers 1 - 5.

-5 -4 -3 -2 -1  0  1  2  3  4  5

(Finding the answer)

On the number line start at -5 and then move 4 spaces to your right and you will land on the number -1.

(Answer)

(-5) + 4 = -1

Hope this helps!!!!!! (:

Brut [27]3 years ago
5 0
-5 + 4 = -1

start at -5 on ur number line....and since u r adding 4, move 4 spaces to the right and u should arrive at -1
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Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.
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The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

S_n = n/2 [ 2a + ( n - 1 ) d ]

Find the 18th term of the sequence.

18th term = 8.1

d = 0.25

8.1 = a + ( 18 - 1 ) 0.25

8.1 = a + 17 x 0.25

8.1 = a + 4.25

a = 8.1 - 4.25

a = 3.85

Find the sum of 20 terms.

S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]

         = 10 [ 7.7 + 19 x 0.25 ]

         = 10 [ 7.7 + 4.75 ]

         = 10 x 12.45

         = 124.5

Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

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8 0
1 year ago
For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i
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Answer:

Given the function in the question

f(x) = |x-3| + 2

a) state the name of the function

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  since it is similar to f(x) = |x|

b) identify the independent and dependent variable  

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f(x) or y = dependent variable  (output variable)

The variable which we assign the value we call the independent variable,    and the other variable is the dependent variable, since it value depends on  the independent variable.

c) identify the rule

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