What is the simplified form of x plus 1 over x squared plus x minus 6 ÷ x squared plus 5x plus 4 over x plus 4 ?

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

Step-by-step explanation:

Given in the question the expression:

(x + 1) / (x² + x - 6) ÷  (x² + 5x + 4) / (x+4)

factorisation of (x² + x - 6) = (x-2)(x+3) by using quadratic equation

(x + 1) / (x-2)(x+3) ÷  (x² + 5x + 4) / (x+4)

Taking reciprocal to convert ÷ into ×

(x + 1) / (x-2)(x+3) x (x+4) / (x² + 5x + 4)

factorisation of (x² + 5x + 4) =  (x+1)(x+4) by using quadratic equation

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

cancel (x + 1) from both expression

1 / (x-2)(x+3)    x    (x+4) / (x+4)

cancel (x+4)

1 / (x-2)(x+3)  Simplified form

the correct answer is b) histograms can be used to exhibit the shape of distributions. this is because histograms count the frequency of each possible answer, so one is able to see which results are more common and which are less common.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.