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alexandr402 [8]
3 years ago
15

Y varies directly with x, and y = 15 when x = 3. What is the value of x when y = 4?

Mathematics
2 answers:
vodka [1.7K]3 years ago
8 0
15/3 = 4/x
5 = 4/x 
so
x = 4/5
soldi70 [24.7K]3 years ago
4 0
The answer would be 1 because 4 times 3 equals 12 and u would add 3 so yeha.
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\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\

we can write it like this,

AX=B\\X=A^{-1}B

so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.

We get the inverse of matrix A,

A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]  \\

now multiply the matrix with B

X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\

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Step-by-step explanation:

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Step-by-step explanation:

Since his trip concluded at 9 hours, let's say that x = time traveled at 40 mph

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D = (rate) x (time)

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