Given the function f(x) = 5x - 3(3x+7), Determine the value of x when f(x) =-18.

Mathematics

2 answers:

MAXImum [283]3 years ago

7 0

Answer:

-93

Step-by-step explanation:

olga2289 [7]3 years ago

6 0

Step-by-step explanation:

Simplifying

f(x) = 5x + -3(3x + 7)

Multiply f * x

fx = 5x + -3(3x + 7)

Reorder the terms:

fx = 5x + -3(7 + 3x)

fx = 5x + (7 * -3 + 3x * -3)

fx = 5x + (-21 + -9x)

Reorder the terms:

fx = -21 + 5x + -9x

Combine like terms: 5x + -9x = -4x

fx = -21 + -4x

Solving

fx = -21 + -4x

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'x'.

f = -21x-1 + -4

Simplifying

f = -21x-1 + -4

Reorder the terms:

f = -4 + -21x-1

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Dima020 [189]

Right this is pretty simple all you do is sub the points to the equation given.
So first try the first point (2,-1) in y=-3x+7
==> -1=-3(2)+7
==>-1=1 this is not equal therefore not the right points

Then try (1,10)
==>10=-3(1)+7
==>10=4 this is incorrect therefore not the right points

Next try (3,-2)
==>-2=-3(3)+7
==>-2=-2 this is equal therefore this is the coordinates to the linear equation.

Finally try the last points to make sure you are correct.
==> -8=-3(-5)+7
==>-8=22 this is incorrect also.

Therefore the only coordinates that satisfies the equation is (3,-2)

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