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2 years ago

Which system of linear equations can be solved using equation [x y] = [1/4 3/4 1 2] [28 -12]

Mathematics

1 answer:

ahrayia [7]2 years ago

6 0

-8x+3y=28

4x-y=-12

Step-by-step explanation:

Let's find x and y from matrices and then check for this systems.

$\left \[[ {{\frac{1}{4} *28-\frac{3}{4}-12 } \atop {1*28-2*12}} \right.]$

Simplify, so we got

7-9

28-24

------

So x=-2

y=4

So we need to put those values and check system.

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Answer:

Yes.

Step-by-step explanation:

Although there is not much info on this question, if you were to assume that there are 3 different answers or 3 different methods of solving that problem, it is definitey possible to assume that this is possible.

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3 years ago

Zaid has a peculiar pair of four-sided dice. When he rolls the dice, the probability of any particular outcome is proportional t

Elden [556K]

Answer: a) $\bold{\dfrac{3}{16}}$ b) $\bold{\dfrac{1}{36}}$

Step-by-step explanation:

a) In order to get an even number, you have the 3 different scenarios:

1) Even, Even, Even, Even $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

2) Even, Even, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

3) Odd, Odd, Odd, Odd $\dfrac{3\times 3\times 3\times 3}{6^4} \quad = \dfrac{3^4}{6^4}\quad =\dfrac{1}{16}$

Order doesn't matter

Add them up to get your answer: $\dfrac{1}{16}+\dfrac{1}{16}+\dfrac{1}{16}\quad =\large\boxed{\dfrac{3}{16}}$

b) If one die is a 2 and another is a 3 and the other two dice can be any number, then you have 1 possibility for a 2, 1 possibility for a 3, and 6 possibilities for each of the other two dice.

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3 years ago

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mario62 [17]

Answer:

4, 4√3

Step-by-step explanation:

In a 30-60-90 triangle:

The leg opposite of the 30-degree angle is 1/2 of the hypotenuse: 8/2 = 4

The longer leg is √3 times the shorter leg: 4*√3 = 4√3

Check work: 4^2+(4√3)^2 = 8^2 --> 16+48 = 64 --> 64 = 64

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2 years ago

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Nonamiya [84]

Answer:

The answer to your question is: letter A

Step-by-step explanation:

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D. 3x3 + 17x2 + 33x - 27

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3 years ago