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Zigmanuir [339]
3 years ago
15

Let f(x) = x^2 - 11x - 60. Solve for f(x) using factoring.

Mathematics
1 answer:
Alona [7]3 years ago
4 0
F(x) = X^2 - 11x - 60
Two terms that multiply to -60 and add to -11 so...
F(x) = (X - 15) (x + 4)
Your x-intercepts would be 15 and -4.
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(1 point) Find a formula for the nth term in the sequence: 17,−17/8,17/27,−17/64,17/125,…
lana [24]

Given:

The sequence is:

17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...

To find:

The formula for the nth term in the given sequence.

Solution:

We have,

17,-\dfrac{17}{8},\dfrac{17}{27},-\dfrac{17}{64},\dfrac{17}{125},...

The given sequence can be written as

\dfrac{17}{1^3},-\dfrac{17}{2^3},\dfrac{17}{3^3},-\dfrac{17}{4^3},\dfrac{17}{5^3},...

The sign are alternative and the absolute value of each term can be defined by the expression \dfrac{17}{n^3}, where n is a natural number.

So, the required formula is:

a_n=(-1)^{n+1}\dfrac{17}{n^3}

Therefore, the formula for nth term in the given sequence is a_n=(-1)^{n+1}\dfrac{17}{n^3}.

8 0
3 years ago
Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC?
AfilCa [17]
We manipulate the given equation in order to solve for EC. We do this by cross multiplying. 
The resulting equation will be:
EC = (4 x 3)/5
EC = 12/5 = 2.4

Additionally, the side-splitter theorem works for this problem since DE and AC are parallel to each other, therefore splitting the remaining two sides into proportional segments.
7 0
3 years ago
Read 2 more answers
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