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3 years ago

Find the zeros of the function.

Mathematics

2 answers:

Slav-nsk [51]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate g(x) to zero, that is

(x - 2)(3x + 3) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

3x + 3 = 0 ( subtract 3 from both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

Hence

smaller x = - 1

larger x = 2

docker41 [41]3 years ago

5 0

Step-by-step explanation:

• To find the Zeros of the function we equate the function ( here g ( x ) ) by zero

=> g ( x ) = ( x - 2 ) ( 3x + 3 )

g ( x ) = 0

( x - 2 ) ( 3x + 3 ) = 0

either , ( x - 2 ) = 0 OR ( 3 x + 3 ) = 0

x = 2 OR 3x = ( - 3 )

x = 2 OR x = ( - 1 )

• Smaller x = ( - 1 )

• Larger x = 2

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For each system, choose the method of solving that seems easier to use. Explain why you made each choice. Solve each system.

Bumek [7]

By substitution, the solution of the system of equations, 3x - y = 5 and y = 4x + 2, is (-7 , -26).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Given two linear equations in x and y,

3x - y = 5 (equation 1)

y = 4x + 2 (equation 2)

Use substitution method since the second equation is already expressed in y in terms of x. Substitute the value of y to the first equation.

3x - y = 5 (equation 1)

3x - (4x + 2) = 5

3x - 4x - 2 = 5

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solve for x.

3x - 4x - 2 = 5

3x - 4x = 5 + 2

-x = 7

x = -7

Substitute the value of x in the second equation and solve for y.

y = 4x + 2 (equation 2)

y = 4(-7) + 2

y = -28 + 2

y = -26

Hence, the solution of the given system of equations is (-7 , -26).

To learn more about solving systems of equations: brainly.com/question/25869125

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5 0

1 year ago

Evaluate

Diano4ka-milaya [45]

Answer:

81/64

Step-by-step explanation:

(-8)^-2

----------------

3^-4

Negative exponents move the item from the numerator to the denominator, and from the denominator to the numerator

(3)^4

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(-8)^2

Now evaluate the power

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3 years ago

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elixir [45]

Plug 10 in for m

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[4 1]

Step-by-step explanation:

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igor_vitrenko [27]

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Step-by-step explanation:

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