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Reika [66]
3 years ago
6

Determine which of the following ordered pairs satisfies the given system of equations.

Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Answer:

(-3,2)

Step-by-step explanation:

1) -2x+y=8

you need to leave the Y alone on one side. Then, the term -2x goes to the other side with its opposite sign which is +.

y=8+2x

2) y=2x/(5-8)

3) 8+2x=2x/(5-8)

now, you need the x value. for that, you need to leave x alone on one side.

8+2x=2x/(-3)

8+2x=-(2/3)x

8=-(2/3)x-2x

8=-(8/3)x

8/-(8/3)=x

-3=x

4) you now have the x value. you need the y value. for that, replace the x in one of the given equations. let´s use the 1st equation.

-2x+y=8

y=8+2x

y=8+2*(-3)

y=2

result:

x= -3

y=2

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A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
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Answer:

4.2

Step-by-step explanation:

the kilometro is 5 and race is 21. 5÷21=4.2

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2 years ago
A football team lost 9 yards on each of two consecutive plays. represent the total change as a product of sun numbers and then f
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2(-9)=-18
Do the total list is -18 yards
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3 years ago
The price of an item has dropped to $46 today yesterday was $115 find the percent decrease
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Using cross multiply and divide the equation looks like so 46/115 next to x/100 to get an answer of 40%
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3 years ago
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In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence
expeople1 [14]

The question in part c is not clear, nevertheless, part a and part b would be solved.

Answer:

a. The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

b. The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

Step-by-step explanation:

a. Given

an + 2 = an + an + 1

where a1 = 1 and a2 = 1.

a3 = a1 + a2

= 2

a4 = a2 + a3

= 3

a5 = a3 + a4

= 5

a6 = a5 + a4

= 8

a7 = a6 + a5

= 13

a8 = a7 + a6

= 21

a9 = a8 + a7

= 34

a10 = a9 + a8

= 55

a11 = a10 + a9

= 89

a12 = a11 + a10

= 144

The first twelve terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

(b)

Given

bn = an+1/an

b1 = a2/a1

= 1/1 = 1.000

b2 = a3/a2

= 2/1 = 1.000

b3 = a4/a3

= 3/2 = 1.500

b4 = a5/a4

= 5/3 = 1.667

b5 = a6/a5

= 8/5 = 1.600

b6 = a7/a6

= 13/8 = 1.625

b7 = a8/a7

= 21/13 = 1.615

b8 = a9/a8

= 34/21 = 1.619

b9 = a10/a9

= 55/34 = 1.618

b10 = a11/a10

= 89/55 = 1.618

The first ten terms are:

1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.

6 0
2 years ago
Joan’s washing machine tub is a cylinder with a height of 17 in. and a diameter of 22 in. Her washer was half full of water when
xxMikexx [17]
Find the volume of the cylinder and divide by 2:

V = pi * r^2 * h

V = 3.14 * 11^2 * 17

V = 6458.98

Divide by 2 since it's half full:

6458.98 / 2 = 3229.49

Now divide it by 46.2 to see how long it will take to drain out:

3229.49 / 46.2 = 69.902

So it will take approximately 70 seconds to drain out.
4 0
3 years ago
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