49/35 = 58.8 / (x + 1)
49(x+1) = 58.8 (35)
49x + 49 = 2058
49x = 2009
x = 41
answer
x = 41
Answer:
D
-3 * (-4) matches, as well as the powers (I guess you wanted to communicate that these are powers, but it would also be correct if these where factors)
Answer:
n = r - 2.5
Step-by-step explanation:
We have the following data:
7 4.5
8 5.5
10 7.5
12 9.5
Now, what we will do is what happens if we subtract each one:
7 - 4.5 = 2.5
8 - 5.5 = 2.5
10 - 7.5 = 2.5
12 - 9.5 = 2.5
The difference is always kept constant, therefore the equation would be:
n = r - 2.5
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.