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UkoKoshka [18]
2 years ago
15

Which is the best step to do next to solve the equation by completing the square 9(x^2+49x=22-5x

Mathematics
1 answer:
Romashka [77]2 years ago
3 0

Answer: 0

Step-by-step explanation:

Simplifying

9x2 + 49x = 22 + -5x

Reorder the terms:

49x + 9x2 = 22 + -5x

Solving

49x + 9x2 = 22 + -5x

Solving for variable 'x'.

Reorder the terms:

-22 + 49x + 5x + 9x2 = 22 + -5x + -22 + 5x

Combine like terms: 49x + 5x = 54x

-22 + 54x + 9x2 = 22 + -5x + -22 + 5x

Reorder the terms:

-22 + 54x + 9x2 = 22 + -22 + -5x + 5x

Combine like terms: 22 + -22 = 0

-22 + 54x + 9x2 = 0 + -5x + 5x

-22 + 54x + 9x2 = -5x + 5x

Combine like terms: -5x + 5x = 0

-22 + 54x + 9x2 = 0

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The 90km/h bus runs between the two stations in 2 hours and 20 minutes.
AnnZ [28]

Answer:

1. <u>distance</u><u> </u><u>is</u><u> </u><u>2</u><u>1</u><u>0</u><u>k</u><u>m</u>

<u>2</u><u>.</u><u> </u><u>distance</u><u> </u><u>is</u><u> </u><u>1</u><u>6</u><u>3</u><u>•</u><u>3</u><u>k</u><u>m</u>

Step-by-step explanation:

<h2> <u>QN1</u><u>;</u></h2>

<h2> <u>STEP1</u><u>;</u></h2>

SPEED=DISTANCE÷TIME

90km/h= X ÷ 2 hrs and 20mins

<h2> <u>STEP2</u><u>;</u></h2>

CHANGE 20 MINS INTO HRS

1 hr = 60mins

<h2> x</h2>

? = 20mins

<u>2</u><u>0</u><u>m</u><u>i</u><u>n</u><u>s</u><u> </u><u>*</u><u> </u><u>1</u><u>h</u><u>r</u>= 1/3hr

60mins

<h2> <u>STEP3</u><u>;</u></h2>

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90km/h= X ÷ 21/3

Distance= speed * time

X = 90km/h * 21/3hrs

<u>distance</u><u> </u><u>is</u><u> </u><u>2</u><u>1</u><u>0</u><u>k</u><u>m</u>

<h2><u>QN</u><u> </u><u>2</u><u>;</u></h2>

Speed=distance ÷

70km/h= X ÷ 21/3hrs

Distance=speed * time

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6 0
2 years ago
A company charges $25 a day for a car rental along with a $60 one time fee. Complete the table to determine the cost to rest the
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Answer:

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Step-by-step explanation:

For 1 Day: $25 + $60 = $85

For 2 Days: ($25 * 2) + $60 = $110

For 3 Days: ($25 * 3) + $60 = $135

For 4 Days: ($25 * 4) + $60 = $160

5 0
4 years ago
Yuri needs to ship an order of 7,200 ornaments to a store. Each large carton holds 64 ornaments. Yuri fills as many cartons as h
koban [17]

Answer:

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Step-by-step explanation:

If you divide 7200 by 64 you get 112.5 or 112 large boxes. If you do 112*64 you get 7168. Subtract 7168 by 7200 and you get 32

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3 years ago
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