Answer:
5
Step-by-step explanation:
Constant= # without variable
7 ft. i believe, if not... its 6 ft i don't know if this helps, but if it does, your wecome
Answer:
(31)(7.29)(4)
=903.96
Step-by-step explanation:
Answer: they will meet after 3 hours.
Step-by-step explanation:
Let t represent the number of hours it will take them to meet.
A walker and a cyclist are 45 miles apart. If they move towards each other, in t hours, they would have covered a total of 45 miles
Distance = speed × time
They move towards each other with speeds of 5 mph and 10 mph respectively. It means that the distance covered by the walker in t hours is 5 × t = 5t
Also, the distance covered by the cyclist in t hours is 10 × t = 10t
Since the total distance covered us 45 miles, then
5t + 10t = 45
15t = 45
t = 45/15
t = 3 hours
Answer:
1/2, 3
Step-by-step explanation:
This is a pretty involved problem, so I'm going to start by laying out two facts that our going to help us get there.
- The Fundamental Theorem of Algebra tells us that any polynomial has <em>as many zeroes as its degree</em>. Our function f(x) has a degree of 4, so we'll have 4 zeroes. Also,
- Complex zeroes come in pairs. Specifically, they come in <em>conjugate pairs</em>. If -2i is a zero, 2i must be a zero, too. The "why" is beyond the scope of this response, but this result is called the "complex conjugate root theorem".
In 2., I mentioned that both -2i and 2i must be zeroes of f(x). This means that both
and
are factors of f(x), and furthermore, their product,
, is <em>also</em> a factor. To see what's left after we factor out that product, we can use polynomial long division to find that

I'll go through to steps to factor that second expression below:

Solving both of the expressions when f(x) = 0 gets us our final two zeroes:


So, the remaining zeroes are 1/2 and 3.