Answer:
It means that the roots of the quadratic equation are real and distinct
Step-by-step explanation:
Here, given the discriminant of the quadratic equation, we want to find out the nature of the solutions.
Mathematically, we can use to determine the nature of the discriminant.
By it’s formula;
D = b^2 - 4ac
We can see that the given discriminant 40 is a positive value. What this means is that the quadratic equation has roots which are real and are distinct
Answer:
Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.
Step-by-step explanation:
Answer:
D. 1
Step-by-step explanation:
Step 1: Find g of f(x)
g(f(x)) = (x²) - 3
Step 2: Plug in -2 as <em>x</em>
g(f(x))(-2) = (-2)² - 3
g(f(x))(-2) = 4 - 3
g(f(x))(-2) = 1
Answer:
C
Step-by-step explanation:
Exponential decay should be in this format A = Ao × e^(-kt)
Answer:
The value of x must be greater than 100.
Step-by-step explanation:
We need to find the value x for which the value of log(x) is greater than than 2.

According to the property of logarithm, if a is a real number.

Using the above property of logarithm, the given inequality can be rewritten as


We conclude that the value of log(x) is greater than 2 for real values of x which are greater than 100.
Therefore, the value of x must be greater than 100.