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I am Lyosha [343]
3 years ago
13

Can some one help! I’m willing to pay or give extra points

Mathematics
2 answers:
lesantik [10]3 years ago
7 0

Answer:

x = -5                x = -11

Step-by-step explanation:

4 ^ |x+8| = 64

Rewriting 64 as 4^3

4 ^ |x+8| = 4^3

The bases are the same so the exponents are the same

|x+8| = 3

We have two equations, one positive and one negative, for the absolute value

x+8 = 3   and x+8 = -3

Subtract 8 from each side

x+8-8 =3-8         x+8-8 = -3-8

x = -5                x = -11

krok68 [10]3 years ago
3 0

Answer:

x = <u>5 </u>or x =<u> -5</u>

Step-by-step explanation:

x^| x + 8 | = 64

write the number in exponential form with the base of 4.

4^|x + 8| = 4³

Since the base are same, set the exponents are equal.

| x + 8 | = 3

Use the absolutely value to rewrite the absolute value equation as two seperate equation.

x + 8 = 3

x + 8 = -3

Solve for x.

x + 8 = 3. x + 8 = -3

subtract 8 from both side

x + 8 - 8 = 3 - 8 x + 8 - 8 = -3 + 8

x = -5. x = 5

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Solve the equation by completing the square x^2-3x-18=0
Alexandra [31]

Answer:

x = -3, 6

Step-by-step explanation:

First, add 18 to both sides

x² - 3x - 18 = 0

           + 18    + 18

x² - 3x = 18

Add 9/4 to both sides because that is the square of half of -3

x² - 3x + 9/4 = 18 + 9/4

Multiply both sides by 4 to get rid of the fractions

(x² - 3x + 9/4 = 18 + 9/4)4

4x² - 12x + 9 = 72 + 9 = 81

Factor the left side of the equation

(2x - 3)² = 81

√(2x - 3)² = √81

Because of the square root, this will result in a positive number and a negative number

2x - 3 = 9

2x - 3 = -9

For both equations, add 3 to both sides then divide by 2

2x - 3 = 9

     + 3   +3

2x = 12

2x/2 = 12/2

x = 6

2x - 3 = -9

    + 3   + 3

2x = -6

x = -3

4 0
2 years ago
The system of equations is given:
Nutka1998 [239]

Answer:

x=-1/85; y=-283/85; z=2/17

Step-by-step explanation:

Using an algebraic method like elimination or substitution would take a lot of steps which could lead to mistake the calculations. In this case, I decided to use the Gaussian elimination. We can express the system in matrix form as follows:

\left[\begin{array}{ccc}2&-4&6\\9&-3&1\\5&0&9\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}14\\10\\1\end{array}\right]

To begin the calculations, we write the system in augmented matrix form and use the Gaussian elimination:

\left[\begin{array}{ccccc}2&-4&6&|&14\\9&-3&1&|&10\\5&0&9&|&1\end{array}\right]

By applying the Gaussian elimination, the final matrix is the following:

\left[\begin{array}{ccccc}1&0&0&|&-1/85\\0&1&0&|&-283/85\\0&0&1&|&2/17\end{array}\right]

In order to verify the results, it´s enough to substitute the calculated values in the original equations to see if the equalities are correct. Here you can see the verification for all of the equations:

2(-1/85)-4(-283/85)+6(2/17)=14\\9(-1/85)-3(-283/85)+1(2/17)=10\\5(-1/85)+9(2/17)=1

6 0
3 years ago
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
Bumek [7]

Answer:

0.381 is the probability that the number of drivers will be at most 18.                          

Step-by-step explanation:

We are given the following information in the question:

The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.

  • The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
  • The variance of Poisson distribution is equal to the mean of Poisson distribution.

a) P(number of drivers will be at most 18)

Formula:

P(X =k) = \displaystyle\frac{\mu^k e^{-\mu}}{k!}\\\\ \mu \text{ is the mean of the distribution}

P( x \leq 18) =P(x=0) + P(x =1) + P(x = 2) + ... + P(x = 18)\\\\= \displaystyle\frac{20^0 e^{-20}}{0!} + \displaystyle\frac{20^1 e^{-20}}{1!} +...+ \displaystyle\frac{20^{18} e^{-20}}{18!}\\\\ = 0.381

Thus, 0.381 is the probability that the number of drivers will be at most 18.

3 0
4 years ago
Sarah needs to complete 10,008 hours of guitar practice. How many hours of practice a day should she do to reach her goal in 3 y
avanturin [10]
10008 hours per 3 years is average of 3336 hours per year, or about 9.1 per day.
4 0
3 years ago
There are 20 children in the cast of a class play,
puteri [66]
D would be your answer
3 0
3 years ago
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