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3 years ago

2 1/8x+3/4x+1/6-7/12x+5 2/3

Mathematics

2 answers:

DaniilM [7]3 years ago

8 0

Answer:

5/24(11x+28)

Step-by-step explanation:

Georgia [21]3 years ago

7 0

55
—— x + 35/6
24

this is the final answer

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One out of every 15 students are tardy to first hour. The principal is concerned because there are 600 students in school. How m

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Answer: 40

Step-by-step explanation: 600 divided by 15

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3 years ago

Suppose the coefficient matrix of a linear system of four equations in four variables has a pivot in each column. Explain why th

Veseljchak [2.6K]

If the coefficient matrix has a pivot in each column, it means that it is shaped like this:

$A=\left[\begin{array}{cccc}a_{1,1}&a_{1,2}&a_{1,3}&a_{1,4}\\0&a_{2,2}&a_{2,3}&a_{2,4}\\0&0&a_{3,3}&a_{3,4}\\0&0&0&a_{4,4}\end{array}\right]$

So, the correspondant system

$Ax = b$

will look like this:

$\left[\begin{array}{cccc}a_{1,1}&a_{1,2}&a_{1,3}&a_{1,4}\\0&a_{2,2}&a_{2,3}&a_{2,4}\\0&0&a_{3,3}&a_{3,4}\\0&0&0&a_{4,4}\end{array}\right]\cdot \left[\begin{array}{c}x_1\\x_2\\x_3\\x_4\end{array}\right] = \left[\begin{array}{c}b_1\\b_2\\b_3\\b_4\end{array}\right]$

This turn into the following system of equations:

$\begin{cases}a_{1,1}x_1+a_{1,2}x_2+a_{1,3}x_3+a_{1,4}x_4=b_1\\a_{2,2}x_2+a_{2,3}x_3+a_{2,4}x_4=b_2\\a_{3,3}x_3+a_{3,4}x_4=b_3\\a_{4,4}x_4=b_4\end{cases}$

The last equation is solvable for $x_4$ : we easily have

$x_4=\dfrac{b_4}{a_{4,4}}$

Once the value for $x_4$ is known, we can solve the third equation for $x_3$ :

$x_3 = \dfrac{b_3-a_{3,4}x_4}{a_{3,3}}$

(recall that $x_4$ is now known)

The pattern should be clear: you can use the last equation to solve for $x_4$ . Once it is known, the third equation involves the only variable $x_3$ . Once

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3 years ago

Select the correct answer.

Semmy [17]

1 divided by 5 is 0.2

0.2 <—- the 2 is in the tenths place so it is 20%

Your answer is B

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3 years ago

For the polynomial below, -2 is a zero.

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

please note -2 is not a zero ,it should be 2 is a zero.

by synthetic division

2| 1 4 -10 -4

| 2 12 4

|----------------

1 6 2 | 0

x²+6x+2=0

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3 years ago

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Tresset [83]

Answer:

16p

Step-by-step explanation:

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3 years ago

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