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yarga [219]
3 years ago
10

Which of the following shows the extraneous solution to the logarithmic equation below???

Mathematics
2 answers:
avanturin [10]3 years ago
7 0
Short Answer x = - 6
Remark
You gave the second best answer. 

The trick here is not to divide both sides by 2. Solve the problem this way.

log_5(x + 1)^2 = 2 Take the antilog of both sides
(x + 1)^2 = 5^2       Expand the equation
x^2 + 2x + 1 = 25   Subtract 25 from both sides.
x^2 + 2x - 24 = 0    Factor
(x + 6)(x - 4) = 0     Find the zeros.

x + 6 = 0
x = - 6  <<<<<<<< Answer. This is the extraneous root.
The reason this is an extraneous root is that x<=0 do not have a logarithem

x - 4 = 0
x = 4    This is a legitimate result to the original equation.
Romashka-Z-Leto [24]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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Please help with part b
timofeeve [1]

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

5 0
3 years ago
Graph the line with the equation y = -x - 3.
larisa [96]

Answer:

Step-by-step explanation:

y=-x-3

This means a graph with a slope of -1, and a y-intercept of -3

8 0
2 years ago
You can spend at most $20 on tomatoes and red peppers for a soup. Tomatoes cost $2.50 per pound and red peppers cost $4 per poun
Umnica [9.8K]

Answer:

The expression which represents the quantity of tomatoes and red peppers to buy is $ 2.50 × T + $ 4 × R = $ 20

Step-by-step explanation:

Given as :

The total amount spend for soup = $ 20

The cost of Tomatoes = $ 2.50 per pound

The cost of Red peppers = $ 4 per pound

Let the quantity of tomatoes to be bought = T pound

The quantity of red peppers to be bought = R pound

So, According to question

$ 2.50 × T + $ 4 × R = $ 20

I.e The expression which represents the quantity of tomatoes and red peppers to buy is $ 2.50 × T + $ 4 × R = $ 20   . Answer

5 0
3 years ago
How to perform the indicated operation of 17 + ( -15)?
yan [13]

Answer:

2

Step-by-step explanation:

17+(-15)=17-15

6 0
3 years ago
Given the following equation, at which point will the graphs undersecretary
swat32

9514 1404 393

Answer:

  (2, 11)

Step-by-step explanation:

The graph shows you the point of intersection is (x, y) = (2, 11).

6 0
3 years ago
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