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2 years ago

a student concluded that the solution to the equation sqrt 2x+1+3=0 is x=4 Do you agree? Explain why or why not.

Mathematics

2 answers:

Lina20 [59]2 years ago

6 0

Answer:

No.

Step-by-step explanation:

We assume you're concerned with

$\sqrt{2x+1}+3=0$

The sum of a non-negative number and a positive number cannot be zero. The square root is always non-negative.

Alina [70]2 years ago

4 0

Answer:

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

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

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

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Which are the solutions of x2 = –11x + 4? StartFraction negative 11 minus StartRoot 137 EndRoot Over 2 EndFraction comma StartFr

Marysya12 [62]

Answer:

$x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}$

Step-by-step explanation:

Given the following quadratic equation:

$x^2 = -11x + 4$

The steps to solve it are:

1. Move the terms to one side of the equation:

$x^2+11x- 4=0$

2. Apply the Quadratic formula $x=\frac{-b\±\sqrt{b^2-4ac} }{2a}$ .

In this case we can identify that:

$a=1\\b=11\\c=-4$

Then, substituting these values into the Quadratic formula we get the following solutions:

$x=\frac{-11\±\sqrt{11^2-4(1)(-4)} }{2(1)}$

$x_1=-\frac{11}{2}-\frac{\sqrt{137} }{2}\\\\x_2=-\frac{11}{2}+\frac{\sqrt{137} }{2}$

3 0

2 years ago

Read 2 more answers

Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya had bought 2 burgers

Ber [7]

Let
x-------> the cost of the burger
y-------> the cost of the sandwiches

we know that
3x+2y=27-----> equation 1
2x+y=27-11-----> 2x+y=16-----> multiply by -2-----> -4x-2y=-32--> equation 2

adds equation 1 and equation 2
 3x+2y=27
-4x-2y=-32
----------------
-x=27-32-----> x=5
3*5+2y=27----> 2y=27-15-----> y=6

therefore

the answer is the option
3) The student's conclusion is correct because the solution to the system of equations 3x + 2y = 27 and 2x + y = 16 is (5, 6).

3 0

2 years ago

Nick is 30 years less than 3 times Rays age. If the sum of their ages is 74,how old are each of the men? Solve and write an equa

zaharov [31]

Nick = n
Ray = r

n=3r-30
n+r=74

3r-30+r=74
4r-30=74
4r=104
r=26
n=26*3-30
n=78-30
n=48
Nick is 48 years old and Ray is 26 years old
Hope this helps.

5 0

2 years ago

Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shap

BigorU [14]

The correct answer is:

She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.

Explanation:

Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.

However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.

6 0

2 years ago

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If it took Mark 45 minutes to get to work and 35 minutes to get home, how long did he spend travelling to and from work?

oksano4ka [1.4K]

Mark spent a total of 80 minutes or 1 hour and 20 minutes traveling to and from work.

45 minutes + 35 minutes = 80 minutes

There are 60 minutes per hour, so their would 1 hour and 20 minutes.

4 0

2 years ago

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