Answer: 324 minutes
Steps:
16 miles equals to 144 minutes
36 miles equals to x minutes
So first divide 144/16 which equals to 9
Then multiply 36×9 which equals to 324 minutes
Hope this helps ʕ•ᴥ•ʔ
So the two equations should be set up equal to each other.
1x + 8 = 2x - 4
now subtract 1x to 2x
8 = x - 4
now add 4 to 8
12 = x
to check you can plug it into x and see if they are both equal
-2x-3y <12
For this case what you should do is to graph the following straight line:
-2x-3y = 12
Then, the solution will be the shaded region that satisfies the following inequality:
-2x-3y <12
In the shaded region you will find all the solution points.
Answer:
See attached image
Answer:
The skydiver will fall 1600 ft in 10 seconds.
Step-by-step explanation:
<u>Distance a body falls from rest varies directly as the squares of the time it falls </u>
Let distance = s
time = t
Therefore , s = k
Given, the body falls 64 ft in 2 seconds.
Substituting in above equation,
64 = k
64 = k
k =
k = 16 ft/
We have to find how much he will fall in 10 seconds.
s = k
s =
s =
s = 1600 ft
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.