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3 years ago

Solve (9x-4)^2=18 using the square root method

Mathematics

1 answer:

Damm [24]3 years ago

7 0

Answer:

x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3

Step-by-step explanation:

Solve for x over the real numbers:

(9 x - 4)^2 = 18

Take the square root of both sides:

9 x - 4 = 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)

Add 4 to both sides:

9 x = 4 + 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)

Divide both sides by 9:

x = 4/9 + sqrt(2)/3 or 9 x - 4 = -3 sqrt(2)

Add 4 to both sides:

x = 4/9 + sqrt(2)/3 or 9 x = 4 - 3 sqrt(2)

Divide both sides by 9:

Answer: x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3

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6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the

goldenfox [79]

Answer:

Step-by-step explanation:

The answer depends on whether the interest is simple or compound.

For simple interest:

A = 670(1 + 0.08)(24)

For compound interest

A = 670(1 + 0.08)24

5 0

3 years ago

Read 2 more answers

In a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this grou

katovenus [111]

Answer:

0.3875

Step-by-step explanation:

Given that in a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this group selected hiking as their favorite outdoor activity whereas 35% of the women in the group selected hiking as their favorite outdoor activity

From the above information we find that

P(Men) = 0.75 and P(women) = 0.25 (since men:women = 3:1)

Out of men prob for not selecting hiking as their favorite outdoor activity

$=1-0.6 = 0.4$

Out of women prob for not selecting hiking as their favorite outdoor activity

$=1-0.35 = 0.65$

Prob for a randomly selected person that hiking is not his/her favorite outdoor activity = Prob (man and not selected activitiy) + P(women and not selected activity) (since men and women are mutually exclusive and exhaustive)

= $0.75(0.4)+0.25(0.35)\\= 0.30+0.0875\\\\=0.3875$

6 0

3 years ago

The Anderson's are driving 2,563 miles to the beach. They plan to drive 325 miles a day. How many days will it take the Anderson

12345 [234]

Answer:

Around 8 days

Step-by-step explanation:

Divide 325 from 2,563

2563 / 325 = 7.888

Round that number

3 0

3 years ago

Please help me with my homework I don't understand it

Damm [24]

Answer:

Part A:

0.1111111111111 = 1/9

Part B:

Step-by-step explanation:

Part A:

When I put 0.111111111 into my calculator I get a conversion of 1/9.

Part B:

The fraction 1/9 means that for every 9 kids he surveyed, 1 of them replied "yes."

So covert 1/9 into x/27

27/9 = 3 which means 9 goes into 27, 3 times.

Multiply 1 by 3.

1 x 3 = 3

Put into fraction form

3/27

This means 3 students out of 27 answered "yes."

6 0

3 years ago

1. June says that there should be a decimal point in the quotient below after the 4. Is she correct? Use number sense to explain

charle [14.2K]

43.94 / 5.2 = 845 is impossible because it would mean that 845 * 5.2 is equal to 43.94 which would be a non sense.

Even if you multiply 84.5 * 5.2 you will still get a bigger result than 43.94 obviously.

The only way this division would make sense, it is if the result is 8.45 so the decimal point should be before the 4 and not after it so June is not correct.

GOod luck :)

7 0

3 years ago