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ddd [48]
3 years ago
5

Can someone please help?

Mathematics
1 answer:
Artemon [7]3 years ago
7 0

Answer:

11. last option with x ≠ 1 is the choice

Step-by-step explanation:

x² + 5x +6 = (x + 2) (x + 3)

x² + x - 12 = (x - 3) (x + 4)

x² + x - 2 = (x - 1) (x + 2)

(x² + 5x +6) / (x + 4) * (x² + x - 12) / (x² + x - 2)

(x + 2) (x + 3) / (x + 4) * (x - 3) (x + 4) / (x - 1) (x + 2)

= (x + 3) ( x - 3) / (x - 1)

x - 1 ≠ 0  If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value will be undefined

I think only the last option that has x ≠ 1 is the answer

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Step-by-step explanation:


7 0
3 years ago
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Roman55 [17]

Answer: Look for the inner answer inside u!

Step-by-step explanation:

5 0
3 years ago
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
2 years ago
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Please help if u can
wolverine [178]

Answer:

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Step-by-step explanation:

f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞

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Where would 3.8 go on the number line?
nata0808 [166]

Answer:

Between 3 and 4

Step-by-step explanation:

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