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g100num [7]
3 years ago
14

Please HELP!!! What is the justification for the step taken from line 2 to line 3?

Mathematics
2 answers:
Alex Ar [27]3 years ago
6 0
The subtraction property of equality
Maksim231197 [3]3 years ago
3 0

Answer:

A. The subtraction property of equality

Step-by-step explanation:

We have to find the rule applied to obtain line 3 from line 2.

Now, line 2 is -4x + 9 = 2x + 10 and line 3 is -6x + 9 = 10.

We can see that the only possible way to get line 3 from line 2 is by subtracting 2x from both the sides.

i.e.  -2x - 4x + 9 = -2x + 2x + 10

i.e. -6x + 9 = 10

Hence, the subtraction property of equality is the justification for getting line 3 from line 2.

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A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below
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(A) ∫₁⁵[Xₙ + k] where n ranges from 1 to 5

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The question is clear enough. Kudos!

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The number of strokes in Ricky's record are to be added to or subtracted from a given number 72

ROUND 1:    [72 - 5] strokes = 67

ROUND 2:   [72 + 6] strokes = 78

ROUND 3:   [72 - 2] strokes = 70

ROUND 4:   [72 + 4] strokes = 76

ROUND 5:   [72 + 5] strokes = 77

(A) Write an expression to represent Ricky's total number of strokes for the five rounds.

Do not panic at this first exercise. You are to write an expression which when evaluated, will give the total number of strokes for all five rounds!

You are already given an abstract number '72' to work with in this question.

It is a fixed quantity which influences the value of strokes for each round.

We will represent this by an algebra, if we have to create the above required expression.

The expression will then be:

∫₁⁵[Xₙ + k] where n ranges from 1 to 5

You already know that the sigma sign '∫' represents summation and that's summation from the subscript '1' to the superscript '5'.

X₁ would be -5,   X₂ would be +6,   X₃ would be -2,   X₄ would be +4,   X₅ would be +5

K is the constant 72

(B) What was Ricky's average number of strokes per round?

Out of the 5 rounds, the average number of strokes per round would be

[67 + 78 + 70 + 76 +77] ÷ 5

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