Factorize: 3x^3-13x^2+16

Mathematics

1 answer:

il63 [147K]3 years ago

3 0

(x+1)(x−4)(3x−4). Mark brainliest :))

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Consider the two functions. F(x)=x^2-8x+7

Tpy6a [65]

(X-7)(x-1)

Minimal x values=7,1
Not the same x value
7 is the greater minimal value

7 0

3 years ago

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

1. Make sure to respond with complete sentences! Show all work please:)

tino4ka555 [31]

Explanation:

The numerator of the rational exponent will be the product of the exponents inside and outside the radical: 5·7=35. The denominator of the rational exponent will be the index of the radical: 6. Then the equivalent expression is x^(35/6)

7 0

3 years ago

Write each ratio in simplest form 3 in. to 2 ft

Degger [83]

$1ft=12in\to2ft=24in\\\\3in:2ft=3in:24in=3:24=\dfrac{3}{24}=\dfrac{3:3}{24:3}=\dfrac{1}{8}=1:8$