9514 1404 393
Answer:
D. 5
Step-by-step explanation:
The discontinuities in the tangent function are found where the argument matches π/2 +nπ for some integer n. If x has the range [0, 4], then x² has the range [0, 16]. We're looking for the number of values of n that satisfy ...
0 ≤ π/2 +nπ ≤ 16
Dividing by π gives ...
0 ≤ 1/2 +n ≤ 16/π
Subtracting 1/2, we have ...
-1/2 ≤ n ≤ 4.59...
The integer values of n in this range are {0, 1, 2, 3, 4}. There are 5 of them, hence ...
5 discontinuities in the interval
Answer:
D: f(g(-1)) = 1/2
Step-by-step explanation:
f(x) = 1/(x + 1)
g(x) = x²
g(-1) = 1
f(g(-1)) = 1/(1 + 1)
f(g(-1)) = 1/2
Answer:
Step-by-step explanation:
To find the value of b, we need to isolate it on one side of the inequality. We can do this by subtracting 2x from both sides, which gives us b > -3 - 2x.
Since we want x to be greater than 3, we can plug in the value 3 for x on the right-hand side of the inequality. This gives us b > -3 - 6, or b > -9.
Therefore, the value of b that makes the inequality true is any value that is greater than -9. For example, b could be -8, -7, -6, or any other value that is greater than -9.
To check if our solution is correct, we can plug in the value of b and the value of x (3) into the original inequality to see if it is true. If we plug in -8 for b and 3 for x, we get the inequality 2x + b > -3, which simplifies to 2 * 3 + (-8) > -3, or 6 - 8 > -3, which is true. Therefore, our solution is correct.
Equation #2 is the linear equation.
_____________
Reason:
The formula for a linear equation is always y=mx + b
______________
Equation #1 is NOT a linear equation but a quadratic equation.
This is a counting principle probability question. There are 2 mints. The probability of the first one being a mint is
2 / 20
The probability of the second one being a mint is
1/ 19
The combined probability is 2/20 * 1/19 = 2 / 380 = 1/190
The decimal equivalent is 0.00526