Looking at this in terms of sets, let's call O the set of all owls, and F the set of all things that can fly. What this original statement is saying every animal that's a member of the set of all owls is also a member of the set of all things that can fly, or in other words, O⊂F (O is a subset of F). Negating this tells us that, while there's <em>at least one</em> element of O that also belongs to F, O is not contained entirely in F (O⊆F, in notation), so a good negation or our original statement might be:
<em>Not all owls can fly.</em>
Answer:
Step-by-step explanation:
Area of rectangle = length * width
= (x + 4) (5x)
= x *5x + 4 *5x
= 5x² + 20x
Perimeter of rectangle = 2*(length + width)
= 2*(x + 4 + 5x)
= 2*(6x + 4)
= 2*6x + 2 *4
= 12x + 8
Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
Answer:
Ex1. X=-1
Ex2. 3rd choice
Step-by-step explanation:
Ex1. The only discontinuity in the domain is x=-1
Ex2. You just add values of x to those options and see which one applies
Answer:
3x/16+1/4
Step-by-step explanation:
