Answer:
After 30 minutes
Step-by-step explanation:
Birds pop out at:
6, 12, 18, 24, 30, 36, 42, 49, 54, 60 mins respectively [6 mins interval]
Also
Dancers pop out at:
15, 30, 45, 60 mins respectively [15 mins interval]
Since at birds and dancers have popped out now (let it be TIME 0), then what is the next number [in the number sequences above] where 2 of them are same??
Looking at the list, it is 30. Hence, It will happen again after 30 minutes.
Answer:
g(x) = x is the base function.
To shrink it vertically by 1/2, make 1/3 the coefficient of the variable x.
To shift it 4 units to the right, subtract 4 from within the squared variable.
To shift 5 units down, subtract 5 from the entire function.
Step-by-step explanation:
Point slope is y-y1= m(x-x1) where m is slope
Plug the values in:
y-(-8)=3(x-8)
Simplify:
y+8=3(x-8)
Answer:
Step-by-step explanation:
g(2) = g(–2) = g(5) is never true for the step function. One " = " symbol per pair of g values, please.
The step function, which you're calling "g(x)," is 0 from -infinity up to but not including 0. It's 1 from x just greater than 0 through infinity.
Thus:
g(2) = 1 because x is greater than 0.
g(-2) = 0 because x is less than 0.
g(5) = 1 because x is greater than 0.
F(3)= 2(3)^2-5(3)+9
=2(9)-15+9
=18-15+9
=3+9
=12
f(3)=12 or B