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Alexxandr [17]
3 years ago
8

What is the constant of proportionality in the equation y = 7x? constant of proportionality =

Mathematics
2 answers:
stiks02 [169]3 years ago
6 0
The constant of proportionality is 7.
Zolol [24]3 years ago
6 0

Answer:

The constant is the slope which is 7

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Find the? inverse, if it? exists, for the given matrix.<br><br> [4 3]<br><br> [3 6]
True [87]

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

A A^{-1}=I where I is the identity matrix.

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}

=\frac{1}{\det \begin{pmatrix}4&3\\ 3&6\end{pmatrix}}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}

\mathrm{Find\:the\:matrix\:determinant\:according\:to\:formula}:\quad \det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc

4\cdot \:6-3\cdot \:3=15

=\frac{1}{15}\begin{pmatrix}6&-3\\ -3&4\end{pmatrix}

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

Therefore, the inverse of given matrix is

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

4 0
3 years ago
How to solve -x+4=-2x-6
Feliz [49]
Regroup terms

Add 2x to both sides 

Simplify 4 - x + 2x to 4 + x

subtract 4 from both sides

subtract -6 - 4.

Answer: x = -10
3 0
3 years ago
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Please answer the question in the image below ASAP
attashe74 [19]
Option A would run parallel because they have the same slope.
6 0
3 years ago
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6 out of 24 employees at the water slides are temporary employees what percentage of the employees at the water slide are tempor
kykrilka [37]

Answer:

25%

Step-by-step explanation:

The question is:

6 is what percent of 24?

Set up the problem:

6            x

----   =   -----

24        100

600 / 24  =   25%

Check your answer:

25%   +   25%   +    25%    +  25%      =  100%

 6       +     6      +      6       +     6        =   24

3 0
3 years ago
Please help, need answer fast!
AleksandrR [38]
The answer is
B. 13ab

5ab+9ab-ab
=(5ab+9ab)-ab
14ab-ab
=13ab

Hope it helped : )
3 0
3 years ago
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