What is exponential growth and exponential decay?

In exponential growth, the rate of growth is proportional to the quantity present. In other words, y′=ky. Systems that exhibit exponential growth have a constant doubling time, which is given by (ln2)/k. Systems that exhibit exponential decay have a constant half-life, which is given by (ln2)/k

Step-by-step explanation:

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In some cases with exponential functions, as the value of x increases, the value of y also increases. This is a direct relationship known as exponential growth. As the value of x increases, the value of y grows rapidly. ... This is an inverse relationship known as decay.

Step-by-step explanation:

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step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1