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2 years ago

Y varies directly as x if x=15 when y=20, find x when y=30

Mathematics

1 answer:

mixas84 [53]2 years ago

6 0

Answer:

X=22.5

Step-by-step explanation:

Y=kX

20=15k

k=4/3

For X when Y=30

30=4/3×X

Cross multiply

4X=90

X=22.5

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Calculate the future value (in dollars) of $1,550 deposited into an account earning an annual simple interest rate of 4% compoun

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3 years ago

Given the vector (4|3) and the transformation matrix (0|1|-1|0), which vector is the imagine after applying the transformation t

horrorfan [7]

Answer:

C.(3|-4)

Step-by-step explanation:

Given the vector:

$\left[\begin{array}{ccc}4\\3\end{array}\right]$

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$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]$

The image of the vector after applying the transformation will be:

$\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4\\3\end{array}\right]\\\\=\left[\begin{array}{ccc}0*4+1*3\\-1*4+0*3\end{array}\right]\\\\=\left[\begin{array}{ccc}3\\-4\end{array}\right]$

The correct option is C

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