4 times a number is 21 less than the square of that number. Find the positive solution.

Let x = your number.

4x = x^2 - 21. Subtract 4x from both sides.

0 = x^2 - 4x - 21. Factor.

0 = (x - 7) (x + 3). Set both terms equal to zero.

(x + 3) = 0. Subtract 3 from both sides.

x = -3. This is the negative solution.

(x - 7) = 0. Add 7 to both sides.

x = 7. This is the positive solution

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: