Answer:
No extraneous solution
Step-by-step explanation:
We have the logarithmic equation given by,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e.
So, the solution of the given equation is x=4.
Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is .
Therefore, the domain of the given function is x > 0.
We know that the extraneous solution is the solution which does not belong to the domain.
But as x=4 belongs to the domain x > 0.
Thus, x = 4 is not an extraneous solution.
Hence, this equation does not have any extraneous solution.
Answer:
Step-by-step explanation:
Pollution can be defined as the introduction of harmful substances (man-made or natural) into the environment.
There are four major types of pollution:
1. Land pollution
2. Water pollution
3. Air pollution
4. Noise pollution
Land pollution refers to the gradual disintegration of the earth surface.
Causes of land pollution
1. Deforestation: The continuous cutting down of trees in the forest.
2. Erosion: The gradual disintegration of soil caused by the action of water.
3. Harmful agricultural practices such as bush burning, introducing toxic substances such as pesticides into the soil
4. Increased industrial waste due to increase in the number of industries
5. Mining of natural resources from the earth surface
6. Construction of bridges, railways and roads
Answer:
B. Rolling a die once and getting a six and a two incorrect answer
Step-by-step explanation:
Answer:
|
x
−
2
|
+
1
is
(
2
,
1
)
Step-by-step explanation:
Answer:
(0, - 3) and (4, 5)
Step-by-step explanation:
Given the 2 equations
y = x² - 2x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = x² - 2x - 3 into (2)
x² - 2x - 3 = 2x - 3 ← subtract 2x - 3 from both sides
x² - 4x = 0 ← in standard form
x(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 4 = 0 ⇒ x = 4
Substitute these values into (2) for corresponding values of y
x = 0 → y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 4 → y = 2(4) - 3 = 8 - 3 = 5 ⇒ (4, 5 )