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3 years ago

PLEASE HELP WITH QUESTIONS 11-14 ASAP!!!!!!!!

Mathematics

1 answer:

zysi [14]3 years ago

3 0

Answer:

11) mean=2 12) median=2 13)range =4

Step-by-step explanation:

11) the set is

0,0,1,1,1,2,2,2,2,2,3,3,3,4,4

so add all these which will give you 30 and then divide that by how many numbers are there in the set which there are 15, so 30 divided 15 =2

12) arrange numbers from smallest to largest and the number exactly in the middle is the median

13)biggest number-smallest number

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Which of the following matrices is the solution matrix for the given system of equations? x + 5y = 11 x - y = 5

givi [52]

<h2>The required solution is x = 6 and y = 11 </h2>

Step-by-step explanation:

Given system of equations are

x+5y = 11 and x-y =5

$A= \left[\begin{array}{cc}1&5\\1&-1\end{array}\right]$ $X=\left[\begin{array}{c}x\\y\end{array}\right]$

and $B= \left[\begin{array}{c}11\\5\end{array}\right]$

∴AX=B

$adj A = \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]$

$A= \left|\begin{array}{cc}1&5\\1&-1\end{array}\right|=-6$

∴ $A^{-1} =\frac{adj A}{|A|}$

So, $A^{-1} =\frac{ \left[\begin{array}{cc}{-1}&{-5}\\{-1}&1\end{array}\right]}{-6}$

$A^{-1} ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]}$

$X =A^{-1}\times B$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c \c} {{\frac{1}{6} }}&{\frac{5}{6}}\ \\ {{\frac{1}{6} }}&{\frac{-1}{6}} \end{array}\right]} \times \left[\begin{array}{c}11\\5\end{array}\right]$

⇒ $\left[\begin{array}{c}x\\y\end{array}\right] ={ \left[\begin{array}{c} {6}\\ {11} \end{array}\right]}$

∴ x= 6 and y = 11

The required solution is x = 6 and y = 11

7 0

3 years ago

F(x) = 4/x-9<br> g(x)=4/x + 9<br> find f(g(x))

Alenkinab [10]

Hello,

$f(x)= \dfrac{4}{x-9} \\

g(x)= \dfrac{4}{x+9} \\

f(g(x))=f( \dfrac{4}{x+9} )\\

= \dfrac{4}{ \dfrac{4}{x+9}-9} \\

= \dfrac{4(x+9)}{4-9x-81} \\

=- \dfrac{4x+36}{77x+9x} 


$

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3 years ago

Problem Solve 88 – (–35)

Rasek [7]

Subtract negative = add
88 + 35 = 123
The solution is 123

7 0

3 years ago

Read 2 more answers

Can I please get help with this?

Andrei [34K]

Answer: x = 20.

Step-by-step explanation: