F(x)=-1/4x-3, find the value of x for which f(x)=x

  x = -2.4

Step-by-step explanation:

  f(x) = -1/4x -3

  x = -1/4x -3 . . . . .  the desired value of f(x)

  5/4x = -3 . . . . . . . add 1/4x

  x = -12/5 . . . . . . . multiply by 4/5, the inverse of 5/4

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Check

  -1/4(-2.4) -3 = 0.6 -3 = -2.4 = x . . . . answer checks OK

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.