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Maurinko [17]
3 years ago
7

Which of the following are factors of x^2+5x+4

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

(x + 4) and (x + 1)

Step-by-step explanation:

x² + 5x + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (+ 5)

The factors are 4 and 1 , since

4 × 1 = 4 and 4 + 1 = 5 , then

x² + 5x + 4 = (x + 4)(x + 1) ← in factored form

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Functions & (f o g) (#)
sertanlavr [38]
Hello there!

I'm assuming since there is no question, that you want an explanation for composite functions.

Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.

With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).

Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)

NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!

I hope this helps!
Best wishes :)
7 0
3 years ago
Pamela is 12 years younger than Jiri. The sum of their ages is 80. What is Jiri's age?<br> years old
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7 0
3 years ago
Can someone help me with this ​
jarptica [38.1K]
The answer is y=- 7/6x+8
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3 years ago
Yesterday, I ran less than 5 kilometers but more than. 1,200 meters. How far could I have run?
taurus [48]
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2 years ago
Divide f(x) by d(x), and write a summary statement in the form indicated.
lukranit [14]
( x^4 - 4 x³ + 2 x² - 4 x + 1 ) : ( x² + 1 )   =  x² - 4 x + 1
- x^4             - x²
------------------------
          - 4 x³ + x² - 4 x
            4 x³        + 4 x
         -----------------------
                      x²  + 1
                   - x²   - 1
                ----------------
                   R ( x ) = 0
( x^4 - 4 x³ + 2 x² - 4 x + 1) =  ( x² + 1 ) ( x² - 4 x + 1 )
3 0
3 years ago
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