Use the equation y = 7x to complete the table. What are the missing values of

Mathematics

2 answers:

storchak [24]2 years ago

8 0

Answer:

Option D

Step-by-step explanation:

In this table, the constant of proportionality, which is just the number that each x value is multiplied by to get the corresponding y value, is 7. This is because, as shown by the first row of the table, 1*7=7, and, as shown by the third row of the table, 3*7=21. Therefore, in the second row of the table, y should be 14, as 2*7=14, while in the fourth row of the table, y should be 28, as 4*7=28.

Hope this helps! Comment any questions.

vfiekz [6]2 years ago

8 0

Option D since 1•7 = 7 2•7 = 14 3•7 = 21 and 4•7 = 28 option d follows the relationship between x and y

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Find the? inverse, if it? exists, for the given matrix. [4 3] [3 6]

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Answer:

Therefore, the inverse of given matrix is

$=\begin{pmatrix}\frac{2}{5}&-\frac{1}{5}\\ -\frac{1}{5}&\frac{4}{15}\end{pmatrix}$

Step-by-step explanation:

The inverse of a square matrix $A$ is $A^{-1}$ such that

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Consider, $A = \left[\begin{array}{ccc}4&3\\3&6\end{array}\right]$

$\mathrm{Matrix\:can\:only\:be\:inverted\:if\:it\:is\:non-singular,\:that\:is:}$

$\det \begin{pmatrix}4&3 \\3&6\end{pmatrix}\ne 0$

$\mathrm{Find\:2x2\:matrix\:inverse\:according\:to\:the\:formula}:\quad \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}$