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Evgen [1.6K]
3 years ago
6

Find the nonpermissible replacement for the variable in the expression 5x/6x+3

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0
The nonpermissible replacement of the variable in a certain expression is the value of x that will make the denominator of the expression zero. In this certain given, 
                                6x + 3 ≠ 0 
Solving for x, 
                                 x ≠ -1/2
Thus, the answer is -1/2. 
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2-31 The following grade-point averages apply to a random sample of graduating seniors. 3.812.732.513.093.28 3.512.861.203.133.2
Dmitry_Shevchenko [17]

Answer:

The sample range is 2.61.

Step-by-step explanation:

We are given the following grade-point averages which apply to a random sample of graduating seniors below;

3.81, 2.73, 2.51, 3.09, 3.28, 3.51, 2.86, 1.20, 3.13, and 3.24.

As we know that the range of the data is calculated bu using the following formula;

               Range = Highest value in the data - Lowest value in the data

Here, Highest value = 3.81

          Lowest value = 1.20

So, the sample data range = 3.81 - 1.20

                                              = 2.61.

6 0
4 years ago
Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of
Mademuasel [1]
To answer this we would need the expressions given.
5 0
3 years ago
Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the<br> equations.
Ksivusya [100]

Answer:

x = - 9, y = -1

Step-by-step explanation:

<em>Given:</em>

<em />\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}

Solve:

\mathrm{Substitute\:}x=-7+2y

\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}

\begin{bmatrix}21-8y=29\end{bmatrix}

\mathrm{For\:}x=-7+2y

\mathrm{Substitute\:}y=-1

x=-7+2\left(-1\right)

x=-9

\mathrm{Thus, Answer:x=-9,\:y=-1}

[RevyBreeze]

5 0
3 years ago
Write the first 5 terms of the<br> sequence an = 3n – 4
Katyanochek1 [597]

Answer:

- 1, 2, 5, 8, 11

Step-by-step explanation:

Substitute n = 1, 2, 3, 4, 5 into the n th term formula

a₁ = 3(1) - 4 = 3 - 4 = - 1

a₂ = 3(2) - 4 = 6 - 4 = 2

a₃ = 3(3) - 4 = 9 - 4 = 5

a₄ = 3(4) - 4 = 12 - 4 = 8

a₅ = 3(5) - 4 = 15 - 4 = 11

The first 5 terms are - 1, 2, 5, 8, 11

7 0
3 years ago
Using suitable rearrangement find the sum of -5 + 7/10 + 3/7 + (-3) + 15/4
Mashutka [201]

Answer:

-4.88

Step-by-step explanation:

-5+(-3) = (-8)

7/10 = 98/140

3/7 = 60/140

15/4 = 525/140

525/140 + 60/140 + 98/140 = 683/140

683/140 = 4 123/140

4 123/140 = 4.88 (2dp)

4.88+(-8) = -4.88

8 0
3 years ago
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