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Fed [463]
3 years ago
8

Find the value of x

Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

6 - 8x = 6x - 8x - 24

(add the x's on each side)

6 - 8x = -2x - 24

(pass -2x on the other side (adding))

6 - 6x = -24

(pass the 6 to the other side (subtracting))

- 6x = - 30

(divide by -6 on  both sides)

x = 5

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30 POINTS! Consider the system of linear equations and the matrix equations below.
fiasKO [112]

Answer:

Option C is correct.

Step-by-step explanation:

-x+3y=2

4x-2y=22

In matrix form is represented as:

\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]

AX=B

X = A^{-1}B

A^{-1} = |A|/Adj A

|A| = (-1)(-2)-(3)(4)

|A| = 2-12

|A| = -10

Adj A = \left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = -1/10\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]

X= A^-1 B

X = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]\left[\begin{array}{c}2&22\end{array}\right]

X=1/10X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]

So, x = 7 and y =3

Hence Option C is correct.

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3 years ago
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Cecilia needs to divide 378 guppies into 3 groups how many guppies will be in each group
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Answer:

126

Step-by-step explanation:

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A fly starts out 2 meters from a lightbulb, flies closer to the light, then farther away (2 meters again). At this point the fly
Lorico [155]

Answer

f(t)=2cos(t)

Step-by-step explanation:

let's describe the situation first, a fly is starting 2 meters from the bulb and flies towards the bulb and when it is really close to the bulb, it flies 2 meters further away from the bulb this means that it reaches d = 0m (distance from the bulb) and then flies further 2 meters so d = -2m.

it this point the fly returns back and touches the bulb and flies away (ends it's oscillatory motion ). d = 0 again and story ends here.

here if we want to model this problem with time function , the cosine function seems the best fit with amplitude of 2, so the answer is f(t) = 2cos(t).

Now you can ask why cosine function? well if you look at the graph or the plot of the function it perfectly captures the physical situation going on here in this problem.

Domain is 0 to 2\pi because it is one complete cycle and the range is -2 to +2.

6 0
3 years ago
you are installing a support wire for an electrical pole. the pole is 25 feet and the ground connection is 10 feet from the base
aniked [119]

ans=26.92

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a²=25²+10²

a²=625+100

now take square root on both sides

a

\sqrt{a { }^{2} }  =  \sqrt{725}

a=26.92

a=27 (2decimal place)

7 0
3 years ago
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