Answer:
x f(x) g(x)
1 15 3
2 16 4
3 15 5
4 12 6
5 7 7
6 0 8
f(x) = g(x) when x = 5
Step-by-step explanation:
f(x) = -x² + 4x + 12
f(1) = -(1)² + 4(1) + 12 = 15
f(2) = -(2)² + 4(2) + 12 = 16
f(3) = -(3)² + 4(3) + 12 = 15
f(4) = -(4)² + 4(4) + 12 = 12
f(5) = -(5)² + 4(5) + 12 = 7
f(6) = -(6)² + 4(6) + 12 = 0
g(x) = x + 2
g(1) = 1 + 2 = 3
g(2) = 2 + 2 = 4
g(3) = 3 + 2 = 5
g(4) = 4 + 2 = 6
g(5) = 5 + 2 = 7
g(6) = 6 + 2 = 8
Answer:
1/18
Step-by-step explanation:
There are 36 different possible combinations. There are only two ways of rolling a sum of 11.
2/36 = 1/18
Answer:
67 times
Step-by-step explanation:
Spinner's sample space = (1, 2, 3, 4, 5, 6)
Number less than 5 = (1, 2, 3, 4)
Total possible outcomes = 6
Required outcome = 4
P(number less than 5) = required outcome / Total possible outcomes
P(number less than 5) = 4 /6 = 2/3
Number of spins = 100
Predicted Number of times a number less than less than 5 is spurn in 100 spins :
100 * 2/3
= 66.666
= 67 times
Answer:
Step-by-step explanation:
Apply the exponent to the innermost parentheses.
(2r²t)³ = 2³(r²)³t³ = 2³r⁶t³
Answer:
Before solving the given trigonometric relation change everything to sines and cosines
Step-by-step explanation:
consider the given equation;
=
Multiplying the above equation on both sides by 
then we get,
By using identity,
expand above equation we will get,
Then,
So the required value of the angle is 
degree.
