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alexira [117]
3 years ago
10

Identify the property used in each of the steps​

Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer: (1) Distributive (2) Commutative (3) Associative

              (4) Commutative  (5) Addition Property of Equality

<u>Step-by-step explanation:</u>

1) Distributive

(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5

2) Commutative

10x and -5y switched places

3) Associative

The parenthesis changed partners

4) Commutative

(12y - 5y) and 10x switched places

5) Addition Property

Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y

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zavuch27 [327]

Answer:

1) x=0.465

2) option A.

Step-by-step explanation:

1) The given equation is:

{3}^{x + 2}  = 15We rewrite this as logarithm to get:

x + 2 =  log_{3}(15)

The change of base formula is:

log_{b}(y)  =  \frac{ log(y) }{ log(b) }

We apply the change of base formula on the RHS to get:

x + 2 =  \frac{ log(15) }{ log(3) }

x + 2 =  \frac{1.176}{0.477}

x + 2 = 2.465

Group similar terms:

x = 2.465 - 2.000 = 0.465

2)

From the graph, the logarithmic function approaches negative infinity as x approaches -6.

Therefore the vertical asymptote is x=-6

The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.

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6 0
3 years ago
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tamaranim1 [39]
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