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Varvara68 [4.7K]
2 years ago
12

Solve for x by completing the square: x2 - 12x + 11 = 0

Mathematics
1 answer:
sineoko [7]2 years ago
6 0

Answer:

B

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± \sqrt{25} = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

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12 – 7x ≤-2 <br> solve and show work
vova2212 [387]

Answer:

x≥2

Step-by-step explanation:

Let's solve your inequality step-by-step.

12−7x≤−2

Step 1: Simplify both sides of the inequality.

−7x+12≤−2

Step 2: Subtract 12 from both sides.

−7x+12−12≤−2−12

−7x≤−14

Step 3: Divide both sides by -7.

−7x/−7 ≤ −14/−7

x≥2

8 0
3 years ago
14. A plane traveled from California and back. It took one hour longer on the way out than it did on the way back. The plane's a
kow [346]

Answer:

  C.  7 hours

Step-by-step explanation:

Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...

  distance = speed × time

  300t = 350(t -1)

  300t = 350t -350 . . . . eliminate parentheses

  350 = 50t . . . . . . . . . . add 350-300t

  7 = t . . . . . . divide by 50

The trip out took 7 hours.

8 0
3 years ago
What is the area of the figure?
natima [27]
The answer is 88 in sq


Explanation: you need to multiply the length a width of each shape then add them all together.
5 0
3 years ago
Read 2 more answers
The sanitation department calculated that last year each city resident produced approximately 1. 643 × 103 pounds of garbage. Th
mote1985 [20]

Answer:

  (d)  428,820,000 pounds of garbage

Step-by-step explanation:

Your calculator or spreadsheet can give you the product of two numbers expressed in scientific notation.

  (1.643×10^3 lb/resident) × (2.61×10^5 residents) = 4.28823×10^(3+5) lb

  ≈ 428.82×10^6 lb

  = 428,820,000 lb . . . of garbage

4 0
2 years ago
Their is a reservation fee of $47 and an additional hourly fee of $7.40 . The math club wants to spend less than $91.40 on renti
Margaret [11]

Answer: they can rent the room for less than 6 hours.

Step-by-step explanation:

Let x represent the possible amounts of time in which they can rent the room.

There is a reservation fee of $47 and an additional hourly fee of $7.40. This means that the total cost of renting the room for x hours would be

47 + 7.4x

The math club wants to spend less than $91.40 on renting the room. This would be expressed as

47 + 7.4x < 91.4

7.4x < 91.4 - 47

7.4x < 44.4

x < 44.4/7.4

x < 6

8 0
3 years ago
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