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3 years ago

X + 5 is a factor of f(x) = x ^ 3 - 2x ^ 2 - 23x + 60 to factor f(x) completely.

Mathematics

1 answer:

Blizzard [7]3 years ago

8 0

Answer:

danlowde photomath and u'll know

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The expression 12x+8 represents the perimeter of a square write 12x+8 as a product then tell what expression represents one side

Pani-rosa [81]

Answer:

Step-by-step explanation:

Find the greatest common factor of 12x + 8

4(3x + 2) so one side is 4 and the other is 3x + 2

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2 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

A function is shown in the table below. What equation represents this function?

den301095 [7]

Answer:

y=-3x+6

Step-by-step explanation:

that equation gives the answer for all the 'y'

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3 years ago

A certain television is advertised as a 85 inch TV if the width of the TV is 67 how tall is the TV

Lunna [17]

Answer:

I believe the answer is 12

4 0

3 years ago

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A cone has a radius of 3 and a height given by the expression 2a. Which expression represents the volume of the cone?

DiKsa [7]

V=(1/3)hπr^2 where h=height and r=radius
given
radius=3
height=2a

r=3
h=2a

v=(1/3)hπr^2
v=(1/3)(2a)π(3)^2
v=(1/3)2aπ9
v=6aπ

so the expression would be some variaant of v=6aπ

5 0

3 years ago

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