we are given
Domain:
we know that domain is all possible values of x for which any function is defined
Here , since, x is only exponent
so, we can take any values of x
it will be defined for all values of x
so, domain is all real numbers
{x | x is a real number}
Range:
we know that
range is all possible values of f(x) or y
Since, there is no negative sign here
so, f(x) will always be positive and greater than 0
so, range is y>0
Answer:
find a slope first of the equation given and then find the second slope by using the formula of perpendicular then find equation of the line by taking the second slope with the point give(0, -4)
Answer:
(-12, 5), (12, -5)
Step-by-step explanation:
Reflection across the origin is the transformation ...
(x, y) ⇒ (-x, -y)
Look for coordinates that are the opposites of their counterparts. You will find the appropriate answer choice is ...
(-12, 5), (12, -5)
Answer:
Step-by-step explanation:
We need a series of equations to be able to sub back and forth into one another in order to get this down to one variable, s for spectators. This is what we know from the info (in algebraic expression/equation form):
.6s = men (60% of the spectators are men)
.4s = women + children (40% of the spectators are women and children)
# of children = 2/3 women
# of men = women + 252 (There are 252 more men than women) and
# women = men - 252
Those are the equations we need to solve for the number of spectators.
Start at the top with
.6s = men. We know that the number of men = women + 252, so
.6s = women + 252.
.4s = women + children. We know that the number of children is 2/3 the number of women, so
.4s = women + 2/3 women. If the number of men = women + 252, then
.4s = men - 252 + 2/3(men - 252) which simplifies to
.4s = 3/3 men - 252 + 2/3 men - 168 and
.4s = 5/3 men - 420 and
.4s = s - 420 and
-.6s = -420 so
s = 700
