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Vsevolod [243]
2 years ago
12

To determine the number of trout in a lake, a conservationist catches 132 trout, tags them and throws them back

Mathematics
1 answer:
andrey2020 [161]2 years ago
6 0

Answer:

boo

Step-by-step explanation:

You might be interested in
QUESTION 1
SVEN [57.7K]

Answer:

1)

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

2)

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

Step-by-step explanation:

Question 1)

The given inequality is:

\frac{5}{12}-\frac{x-3}{6} \leq  \frac{x-2}{3}

<u>Step 1: Making the denominators common for all fractions</u>

\frac{5}{12}-\frac{2}{2} \times \frac{x-3}{6} \leq \frac{4}{4} \times \frac{x-2}{3}

This step is done correctly in the given solution.

<u>Step 2: Simplifying </u>

\frac{5}{12}-\frac{2x-6}{12}\leq \frac{4x-8}{12}

This step is done correctly in the given solution

<u>Step 3: Multiplying both sides by 12, and simplifying.</u>

5-(2x-6)\leq 4x-8\\\\ 5-2x+6\leq 4x-8

First error is made in this step. While opening the brackets, the negative sign should be distributed inside the bracket, which will change the signs.

<u>Step 4: Simplification:</u>

11-2x\leq 4x-8

<u>Step 5: Moving Common terms to one side and simplifying</u>

-2x-4x\leq -8-11\\\\ -6x\leq -19

Error was made in this step. When a number is moved to other side, its sign will be changed.

<u>Step 6: Dividing both sides by -6</u>

x\geq \frac{19}{6}

Conclusion:

1st Error: In going from Step 3 to Step 3.

Reason: Negative sign is not distributed inside the brackets.

2nd Error: In going from Step 5 to Step 6

Reason: Sign of the number is not changed while moving to other side of inequality,

Question 2:

In the Equation 2: 12=-4(-6x-3), when -4 will be multiplied inside the brackets, the 12 on eft hand side will cancel the 12 that will appear on right hand side, giving a result that will lead to x = 0.

Same is the case with Equation 6: x+5=-5x+5, 5 on both sides will cancel out leaving x = 0.

So, 2nd and 6th equations will have the same solution.

In Equation 1, on expanding the bracket and moving 7 to other side, we get a relation: 4x = 16

In Equation 3, on simplifying the right hand side, and carrying common terms to one side, we get the relation: - 9x = -36

In Equation 5, on expanding the bracket and simplifying the relation is reduced to 4 = x

It can be observed that all these 3 equations have the same solution i.e. x = 4

So, the following set of Equations have the same solution:

a) 12=-4(-6x-3) and x+5=-5x+5

b) -(7-4x)=9 and 5x+34=-2(1-7x) and -8=-(x+4)

6 0
3 years ago
Read 2 more answers
What are the solutions of the equation?
Olegator [25]
The correct answer would be 41
7 0
2 years ago
Which equation matches the graph shown below?
MrRa [10]
Given that the graph shows tha the functión at x = 0 is below the y-axis, the constant term of the function has to be negative. This leaves us two possibilities:

y = 8x^2 + 2x - 5 and y = 2x^2 + 8x - 5

To try to discard one of them, let us use the vertex, which is at x = -2.

With y = 8x^2 + 2x - 5, you get y = 8(-2)^2 + 2(-2) - 5 = 32 - 4 - 5 = 23 , which is not the y-coordinate of the vertex of the curve of the graph.

Test the other equation, y = 2x^2 + 8x - 5 = 2(-2)^2 + 8(-2) - 5 = 8 - 16 - 5 = -13, which is exactly the y-coordinate of the function graphed.

Then, the answer is 2x^2 + 8x  -5
8 0
3 years ago
2x + 2x + 2 = 4x + 2​
tamaranim1 [39]

Answer:

2x+2x+2=4x+2

4x+2=4x+2

Step-by-step explanation:

4 0
3 years ago
A 25 foot ladder leans against a house. How far is the foot if the ladder from base if the building if the top of the ladder is
vaieri [72.5K]

Answer:

C.

Step-by-step explanation:

x^2+20^2=25^2

x^2+400=625

x^2=225

x=15

5 0
3 years ago
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