2 years ago

Which of the following functions best describes this graph ?

Mathematics

1 answer:

IrinaVladis [17]2 years ago

7 0

Answer:

Step-by-step explanation:

As seen from the graph , the function cuts the x-axis at 4 and 5. So, the roots of function are 4 and 5.

The function becomes :

( x - 4 ) ( x - 5 )

Expanding:

$(x - 4)(x - 5)$

$x(x - 5) - 4(x - 5)$

${x}^{2} - 5x - 4x + 20$

${x}^{2} - 9x + 20$

So, after expansion , it becomes :

${x}^{2} - 9x + 20$

So, Option D is the correct option.

Hope this helps..

Best regards!!

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2 years ago

daren has 10 sweets .hellen has 30 sweets.faith has 4 fewer sweets than the average number of sweets daren,hellenand faith have.

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Answer:

Step-by-step explanation:

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Hopefully this helps :) Good luck!

8 0

2 years ago

Factor this completely<br><br> P(x)=x^4-256

posledela

$\bf p(x)=x^4-256\qquad \boxed{2^8=256}\qquad p(x)=x^{2\cdot 2}-2^{4\cdot 2}
\\\\\\
p(x)=(x^2)^2-(2^4)^2\implies p(x)=[x^2-2^4]~[x^2+2^4]
\\\\\\
p(x)=[x^2-(2^2)^2]~[x^2+2^4]\implies p(x)=[(x-2^2)(x+2^2)]~[x^2+2^4]
\\\\\\
p(x)=(x-4)(x+4)(x^2+16)$