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Anna35 [415]
3 years ago
8

Factor the trinomial. x^2-4x-5

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
<h3>Answer: Choice C.  (x+1)(x-5)</h3>

We need to find two numbers that

  • Multiply to -5 (last term)
  • Add to -4 (middle coefficient)

Through trial and error, those two numbers are 1 and -5

  • 1 times -5 = -5
  • 1 plus -5 = -4

So this means x^2-4x-5 factors to (x+1)(x-5)

This is the same as (x-5)(x+1) since the order of multiplication doesn't matter.

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Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 an
olga55 [171]

Your identity says ...

... sum of cubes = (sum)³ -3(product)(sum)

... = 4³ -3·1·4

... = 64 -12 = 52

_____

The two numbers are 2±√3, and the sum of their cubes is indeed 52.

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3 years ago
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3 years ago
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pishuonlain [190]

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8 0
3 years ago
Rashau made a rectangular frame for her latest oil painting. The length is 28 centimeters more than triple the width. The perime
postnew [5]
The length is about 28 more than three times the width. Denoted as (a) width, and as (b) the length. Then move on to lay the system of equations, as done below:

\begin{cases}2a+2b=136\\b=3a+28\end{cases}
\begin{cases}2a+2b=136|:2\\b=3a+28\end{cases}
\begin{cases}a+b=68\\b=3a+28\end{cases}
\begin{cases}a+3a+28=68\\b=3a+28\end{cases}
\begin{cases}4a=40|:4\\b=3a+28\end{cases}
\begin{cases}a=10\\b=3*10+28\end{cases}
\begin{cases}a=10\\b=58\end{cases}

The short side has a length of 10 cm, and 58 cm long.
5 0
3 years ago
If 28 people want to go to Italy and 16 percent of people want to go to France and 48 people want to go to Korea how many people
topjm [15]
It should be 8 people.
16% of 100 people is 16 people.
16+28+48=92
100-92= 8 people
3 0
3 years ago
Read 2 more answers
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