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3 years ago

A student concluded that the solution to the equation √2x+1+3=0 is x=4.

Mathematics

2 answers:

Anna71 [15]3 years ago

5 0

Answer:

I do not agree, because x=4 is an extraneous

Step-by-step explanation:

First, to solve the equation, you subtract 3 from both sides, then square both sides, subtract one from both sides, and finally divide by 2 on both sides. This indeed gets us x=4, but we also need to check if it's an extraneous solution. To do that we simply plug in x=4 into the original equation. sqrt( 2(4) + 1 ) + 3 = 0. When we do this, we end up with ±3 + 3 = 0. I do not agree, because we don't know if the sqrt(9) is -3 or 3.

DerKrebs [107]3 years ago

5 0

Answer:

on Edge

Step-by-step explanation:

I do not agree with the student because there is no real solution.

Solving the equation only gives possible solutions, but you must check them in the original equation.

Checking the solution in the original equation shows that 4 is an extraneous solution.

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Six friends shared 79 trading cards and kept a record of how they did it. What does 13 represent? the answers are- The number of

castortr0y [4]

Answer: The number of trading cards each friend ended up with

Step-by-step explanation:

Given that:

Total Number of trading cards = 79

Number of friends = 6

Number of trading cards each friend got of shared equally :

Total Number of trading cards / number of friends

= 79 / 6

= 13.166

Highest number of cards got by each = 13

Number left : 79 - (13 * 6) = 1

Hence, 13 represents the number of trading cards each friend ended up with

7 0

3 years ago

3х 4 = 3<br><br>what is the value of x?

lord [1]

Answer:

1/3

Step-by-step explanation:

transfer 4 to the other side then the sign will be minus

then divide 1 by 3

5 0

3 years ago

Read 2 more answers

You spin the spinner and flip a coin. Find the probability of the compound event.

Mademuasel [1]

Answer:

The probability of spinning an even number and flipping heads is 1/4

Step-by-step explanation:

You spin the spinner and flip a coin.

A spinner that has 1 of each number, 1-6

Total events =12

(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)

We are supposed to find probability of spinning an even number and flipping heads

Favorable events : (2,H),(4,H)(6,H) = 3

Total events = 12

The probability of spinning an even number and flipping heads = $\frac{3}{12}=\frac{1}{4}$

Hence The probability of spinning an even number and flipping heads is 1/4

7 0

3 years ago

Which choices name a chord of circle F? Choose all answers that are correct. A. AD B. BE C. CF D. DF?

Natalka [10]

I have encountered this problem before. The figure gave out 3 chords, 2 of which are diameters, and 1 radius.

A chord is a line segment that joins any two points on a circle.

A diameter is the longest chord on a circle. It originates at one side of the circle, passes through the middle point of the circle, and end on another side of the circle.

The chords in the figure area: AD, BE, and DE. AD and BE are diameters, they pass through F.

Among the choices: A.) AD and B.) BE are the chords.

CF and DF are radii. They only end up in the middle point of the circle.

8 0

3 years ago

Hello, how can I do this exercise the help is appreciated

Semenov [28]

Answer:

5, 8, 11, 14, 17,....

f(n) = 5+3n where n is the number of steps after the first two. 7 steps is 20 faces.

Step-by-step explanation:

A sequence is a list of numbers that are related. The first number in the sequence is 5 since the first part of the stairs has 5 faces (5 squares, the dark don't count). Every time you add a "stair" you add 2 blocks - one underneath to support and one as the step. This adds 3 faces. So 5 becomes 8. Repeat and 8 becomes 11. You add 3 faces each time. So the sequence is

5, 8, 11, 14, 17,....

This is a constant pattern of adding 3 each time after the initial start. So we can write a rule. We start with 5 + 3(each stair step). So if the cube is 7 stairs high, that is 5 more repetitions of adding blocks after the start (remember the start has 2 steps already). So 5 + 3(5) = 20. 7 steps high will have 20 faces.

7 0

3 years ago