3 years ago

Which graph shows the solution to the system of inequalities below?

Mathematics

1 answer:

Mila [183]3 years ago

5 0

Answer:

The last graph

Step-by-step explanation: On edge.

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let a,b,c,d be four integers (not necessarily distinct) in the set {1,2,3,4,5}. the no. of polynomials x^4+ax^3+bx^2+cx+d which

Eddi Din [679]

By either long or synthetic division, it's easy to show that

$\dfrac{x^4+ax^3+bx^2+cx+d}{x+1}=x^3+(a-1)x^2+(-a+b+1)x+(a-b+c-1)-\dfrac{a-b+c-d-1}{x+1}$

The quartic will be exactly divisible by $x+1$ when the numerator of the remainder term vanishes, or for those values of $a,b,c,d$ such that

$a-b+c-d-1=0$

I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.

8 0

3 years ago

Please help ASAP What is the value of x? Enter your answer in the box.

guapka [62]

Just took the test and got the the correct answer *\(♡°▽°♡)/*

Look at the image down below!!