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Eva8 [605]
3 years ago
12

The graph of the function f(x) = (x − 3)(x + 1) is shown. Which describes all of the values for which the graph is positive and

decreasing?
Mathematics
1 answer:
bija089 [108]3 years ago
3 0

Answer:

All real values of x where x < −1

Step-by-step explanation:

Solve the function as an inequality:

(x-3)(x+1)>0

There are two cases in this:

Both factors are greater than 0.

x-3>0 and x+1>0

x>3 and x>-1

The intersection is x >3

OR

Both factors less than 0.

x-3<0 and x+1<0

x< 3 and x<-1

The intersection is x< -1

We have obtained that the function is positive for the intervals  x < -1 and x > 3. But in one of those intervals the function is decreasing and in the other is increasing.

The answer is: all real values of x where x < −1 ....

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The ages of four sisters are consecutive even integers. Two times the age of the youngest sister exceeds the oldest sister's age
S_A_V [24]

Alright, lets get started.

The ages of all four sisters will be = x, x+2, x+4, x+6

As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

2x - 30 = (x+6)

Simplifying the equation

2x - (x+6) = 30

2x - x - 6 = 30

x = 36

So this is the age of youngest sister.

So, age of oldest sister will be x + 6 = 36 + 6 = 42

Hene the age of oldest sister is 42 years.   :  Answer

Hope it will help :)


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hope this helps
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Answer:

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