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xeze [42]
2 years ago
14

Solve x for (x-2)²-6x=1

Mathematics
1 answer:
Roman55 [17]2 years ago
4 0

Answer:

x ≈ 9.69, 0.31

Step-by-step explanation:

Given:

(x - 2)² - 6x = 1

We'll expand the squared binomial on the left:

x² - 4x + 4 - 6x = 1

Group like terms:

x² - 10x + 4 = 1

Complete the square by adding 21 to both sides:

x² - 10x + 25 = 22

(x - 5)² = 22

And solve for x:

x - 5 = √22

x = 5 ± √22

x ≈ 9.69, 0.31

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Practice using the work formula. A bathtub that holds 42 gallons of water is filling at a rate of 4 gallons per minute. How long
trapecia [35]

Answer: The percentage of the tub after 6 minutes is 30 %

Step-by-step explanation: The  calculation can be done as follows

1 minutes= 4 gallons

6 minutes= 4×6

= 24 minutes

If the bathtub can hold 80 gallons of water then the percentage of the tub after 6 minutes can be calculated as follows

= 24/80

= 0.3 × 100

= 30 %

Hence the percentage of the tub will be filled after 6 minutes is 30 %

Please see the link below for more information

4 0
2 years ago
-2/3f=9.2<br> -1/8n = -2/7 <br> 12/20n = -36/44<br> -64.5g = -25.8 <br> -15/28 = -9/10
user100 [1]

Step-by-step explanation:

-2/3f =9.2

cross multiply

27,6= -2f

divide both sides by 2

f = - 13.8

-1/8n = -2/7

cross multiply

-16 = -7n

divide

n = 2.29

12/20n = -36/44

cross multiply

528 = - 720n

divide

n= -0.733

-64.5g = -25.8

divide both sides by -64.5

g = -0.4

the last one has no variable

5 0
3 years ago
P=$222 r=12% Y=10 A=?
sergey [27]
To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
             I  = Interest

or you can use 

A = P (1+ rt)

Where: P = principal
             r  = rate in decimal
             t  = time in years

With your given you can use the second one, without having to use the first. 
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12. 

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
   = $222(1 + (0.12)(10))
   = $222(2.2) 
   = $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
  = $488.40 - $222
  = $266.40

$266.40 is the added interest to the principal amount. 
7 0
3 years ago
Which ordered pair is a solution the the following system?
muminat

Answer:

d is the correct answer .

Step-by-step explanation:

I just guessed

4 0
3 years ago
Someone help pls:( !!!!!!!!!!
lesantik [10]

Answer:

Multiply both sides by -2 and reverse the inequality symbol

Step-by-step explanation:

since it is division you want to make it multiplication so that you can get the answer easier

-1/2w<12

it cancels out the -1/2 than just multiply 12 and -2 you get -24

w > -24

8 0
3 years ago
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