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myrzilka [38]
3 years ago
13

Prove: if a+c=b+c, then a=b.

Mathematics
1 answer:
larisa86 [58]3 years ago
7 0
Statement 1: a+c=b+c
Statement 2: a+c+(-c)=b+c+(-c)
Statement 3: a+[c+(-c)]=b+[c(-c)]
Statement 4: a+0=b+0
<span>Statement 5: a=b. </span>
<span>What is the reason for Statement 2? 

A.) Property of opposites

This property is where a number and its opposite are called additive inverses. The sum of these numbers is equal to 0.</span>
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25 points Please explain your answer, thank you!
Mashutka [201]

The answer is B.

For an expression to be a polynomial term, any variables in the expression must have whole number powers.

-3/x isn’t a polynomial term because the variable is in the denominator.

7 0
3 years ago
Read 2 more answers
Which pair shows equivalent expressions?
Murrr4er [49]

Answer:

2(2/5x+2)=4x/5+4

Step-by-step explanation:

2(2/5x+2)=4x/5+4

4x/5 +4=4x/5 +4

7 0
3 years ago
Determine which equations have the same solution set as StartFraction 2 Over 3 EndFraction minus x plus StartFraction 1 Over 6 E
Lina20 [59]

Answer:

A, B, F

Step-by-step explanation:

2/3 - x + 1/6 = 6x

Collect like terms

2/3 + 1/6 = 6x + x

(4+1) / 6 = 7x

5/6 = 7x

x = 5/6 ÷ 7

= 5/6 × 1/7

x = 5/42

a) 4 - 6x + 1 = 36x

4 + 1 = 36x + 6x

5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

b) 5/6 - x = 6x

5/6 = 6x + x

5/6 = 7x

This is equivalent to the third step of the simplification

c) 4 - x + 1 = 6x

4 + 1 = 6x + x

5 = 7x

x = 5/7

Not equivalent to any of the steps in the simplification above

d) 5/6 + x = 6x

5/6 = 6x - x

5/6 = 5x

x = 5/6 ÷ 5

= 5/6 × 1/5

x = 5/30

Not equivalent to any of the steps in the simplification above

e) 5 = 30x

x = 5/30

Not equivalent to any of the steps in the simplification above

f) 5 = 42x

x = 5/42

Equivalent to the last step of the simplification above

4 0
3 years ago
Does the graph at the right represent a linear function? Explain.
kondaur [170]

Answer:

see below

Step-by-step explanation:

This is not a linear function because it does not pass the vertical line test

A vertical line is not a function, it is a relation.

8 0
3 years ago
Question 3
BigorU [14]

Answer:

  30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

  12/x + 40/(x -5) = 2 . . . . . hours

Multiplying by (x)(x -5), we get ...

  12(x -5) +40(x) = 2(x)(x -5)

Dividing by 2 and subtracting the left side gives ...

  x^2 -31x +30 = 0

  (x -30)(x -1) = 0 . . . . . factor

Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

3 0
3 years ago
Read 2 more answers
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