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3 years ago

Using linear combination method what is the solution to the system of linear equations 7X -2Y = -20 and 9X + 4Y = -6

Mathematics

1 answer:

Yakvenalex [24]3 years ago

8 0

Answer:

(x,y ) = ( - 2,3)

Step-by-step explanation:

given the 2 equations

7x - 2y = - 20 (1)

9x + 4y = -6 (2)

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A passenger train left Austin, Texas at 12:00 PM bound for Dallas, exactly 210 miles away; it traveled at a steady 50 miles per

olya-2409 [2.1K]

Answer:

3 hours
1 hour 45 minutes
300 miles

Step-by-step explanation:

1. The trains are moving toward each other at a total speed of 50 +20 = 70 miles per hour. Together, they cover the 210 mile distance in ...

time = distance/speed

time = 210 mi/(70 mi/h) = 3 h

The trains collide after 3 hours.

2. The fly is closing with the freight train at a speed of 100 +20 = 120 miles per hour. Together, the fly and the train cover the initial 210 mile distance in ...

(210 mi)/(120 mi/h) = 7/4 h = 1 hour 45 minutes

The fly first meets the oncoming freight train after 1 h 45 min.

3. The fly is flying for all three hours before the trains collide, so, at 100 miles per hour, will fly 300 miles.

6 0

4 years ago

danovan and three freinds go to a fair. They each spend 1/2 of their money on rides. They each spend $3 on food. At the end of t

astra-53 [7]

Answer:

They each brought $22 to the fair

Step-by-step explanation:

8+3=11

11*2=22

Answer=22

6 0

1 year ago

Which number represents a square root of 3 (cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFr

wariber [46]

Answer: hello your question is poorly written attached below is the complete question

answer:

$\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))$ --- ( option d )

Step-by-step explanation:

The correct option that represents a square root of 3 as related to the question attached below is :

$\sqrt{3}(cos(\frac{3\pi }{2}) + isin(\frac{3\pi }{2}))$

8 0

3 years ago

Jonathan bought a new computer for $1,716, using the electronics store's finance plan. He will pay $143 a month for 12 months. W

Reptile [31]

He would use y=1,716-143x

7 0

3 years ago

Read 2 more answers

The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4

Mrac [35]

Answer:

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

$Mean = x1 = \frac{20+24+40+63+76+89}{6}$

$x1 = \frac{312}{6}$

$x1 = 52$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

$20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37$

The deviations will be added then. $Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24$

So the mean absolute deviation for city 1 is 24 ..

For city 2:

$Mean = x2 = \frac{41+50+58+62+72+83}{6}$

$x2 = \frac{366}{6}$

$x2 = 61$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

$41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22$

The deviations will be added then. $Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33$

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

3 0

3 years ago

Read 2 more answers