a quadratic function and an exponential function are graphed below. how do the decay rates of the functions compare over the interval
a
the exponential function decays at one-half the rate of the quadratic function.
b the exponential function decays at the same rate as the quadratic function.
c the exponential function decays at two-thirds the rate of the quadratic function.
d the exponential function decays at three-fourths the rate of the quadratic function.

The Decay rate for any  function can be calculated by the formula Decay rate = [ difference in y values ÷difference in x values in given interval.].

Decay Rate for the exponential function in the interval -2≤x≤0. is (4-1)÷(-2-0)

= 3÷2.

Decay rate for quadratic function in same interval =[ (4-0)÷-(-2-0)] = 2÷1.

Ratio of decay rates=

Option D The exponential function decays at three-fourths the rate of the quadratic function. is the right answer.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

answer: the answer is one

step-by-step explanation:

pemdas, in this situation there is no parenthesis or exponents so you go to multiplication, 1x1=1, then division 1/1= 1 then addition 1+1=2 then subtraction 2-1=1