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3 years ago

WHAT IS THE RULE PLEASE HELP

Mathematics

1 answer:

lozanna [386]3 years ago

3 0

Answer:

1,3

Step-by-step explanation:the image is translated up by three on the Y axis and not on the X therefore multipling the original on the Y axis by 3 is the rule

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Travis traveled 315 miles in 5 hours. what is his unit rate of speed in miles per hour?

DerKrebs [107]

He was traveling 63 mph
divide 315 by 5 and you get 63
check your answer by multiplying his speed (63mph) by 5 (number of hours)

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2 years ago

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Rewrite the equation in Ax+By=C form. Use integers A, B, and C. y+5=5(x-3)

Kaylis [27]

$y+5=5(x-3)\\ y+5=5x-15\\ 5x-y=20$

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3 years ago

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Express the system as AX = B; then solve using matrix inverses

Wittaler [7]

Answer with explanation:

1. The given equations are

3x -5 y=2

-x+2 y= 0

⇒The matrix in the form of , AX=B, is

$A=\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] ,\\\\ X=\left[\begin{array}{c}x&y\end{array}\right],\\\\B=\left[\begin{array}{c}2&0\end{array}\right]$

$\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B$

Adj.A=Transpose of cofactor of Matrix A

$Adj.A=\left[\begin{array}{cc}2&1\\5&3\end{array}\right] ,\\\\ |A|=6-5\\\\|A|=1\\\\\left[\begin{array}{c}x&y\end{array}\right]=\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \times \left[\begin{array}{c}2&0\end{array}\right]\\\\x=4, y=2$

The given equations are

x+y-z=2

x+z=7

2 x +y+z=13

⇒The matrix in the form of , AX=B, is

$A=\left[\begin{array}{ccc}1&1&-1\\1&0&1\\2&1&1\end{array}\right]\\\\ X=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\\\\B= \left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B\\\\a_{11}=-1,a_{12}=1,a_{13}=1,a_{21}=-2,a_{22}=3,a_{23}=1,a_{31}=1,a_{32}=-2,a_{33}=-1\\\\|A|=1\times(0-1)-1\times(1-2)-1\times(1-0)\\\\=-1+1-1\\\\|A|=-1\\\\Adj.A=\left[\begin{array}{ccc}-1&-2&1\\1&3&-2\\1&1&-1\end{array}\right]$

$\frac{Adj.A}{|A|}=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\\\\X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\times\left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\x=3,y=3,z=4$

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3 years ago

3y - 6 + 4x = 0 A, B, C, or D

MatroZZZ [7]

Answer:

Step-by-step explanation:

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3 years ago

A function g(x) has x-intercepts at (1/2, 0) and (6, 0). which could be g(x)?

AlexFokin [52]

The x-intercepts of a function are used to express the function into factored form:
From (1/2, 0)
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From (6, 0)
(x-6)

(x - 1/2) (x-6) = 0
(2x -1)(x-6) = 0

The function is:
B. g(x) = (x – 6)(2x – 1)

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3 years ago

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