Question

Rearrange the equations to make the input 6 and the output 15. Given equations: Y = -2x + 34 y = -|3x| y = -x/3 - 10 y = (x - 2)^2

Answer 1

The equation that satisfies the given condition is y = (x - 2)^2. Therefore, the correct option is d).

Step-by-step explanation:

Let's substitute the input value of 6 into each equation to find the corresponding output:

a) Y = -2x + 34
Y = -2(6) + 34 = 22

b) y = -|3x|
y = -|3(6)| = -18

c) y = -x/3 - 10
y = -(6/3) - 10 = -12

d) y = (x - 2)^2
y = (6 - 2)^2 = 16

From the calculations, we can see that the only equation that satisfies the condition where the input is 6 and the output is 15 is option d) y = (x - 2)^2.

Therefore, the correct option is d).