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Evgen [1.6K]
3 years ago
15

The graph of the function f(x) = (x - 3)(x + 1) is shown.

Mathematics
1 answer:
pychu [463]3 years ago
4 0

Answer:

Step-by-step explanation:

Option A. All the real values of x where x < -1

Procedure

Solve the inequality:

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

That happens in two cases.

1) When both factors >0

x-3>0 and x+1>0

x>3 and x >-1

The intersection is x >3

2) When both factors <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 decresing and in the other is increasing.

You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the  first interval and increasing in the second interval.

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What is the length of the altitude of the equilateral triangle below
ale4655 [162]
Using Sine.

Sine = Opposite / Hypotenuse

sin 60° = a / (6√3)                        But sin60° = √3/2

√3/2 = a/(6√3)

Cross multiply

2*a = 6√3 * √3

2a = 6 * √(3*3)

2a = 6*3

a = 6*3/2

a = 3*3 = 9

Option E.

Hope this helps.
4 0
3 years ago
Use your TVM Solver to determine the future balance in a mutual fund account (a type of investment account) if you make weekly p
Paladinen [302]

Answer:

  $46,141.71

Step-by-step explanation:

This looks about right, based on weekly deposits for the duration. However, I cannot vouch for it entirely, as the number of weekly deposits in 15 years will actually be 782.

_____

Computing this by hand doing the initial balance separately from the weekly deposits, I get a total of $46,252.10 using 782 weekly deposits. For that purpose, I tried to figure an equivalent weekly interest rate given monthly compounding and the fact there are 52 5/28 weeks in a year on average.

I suspect the only way to get this to the cent would be to build a spreadsheet with payment dates and interest computation/payment dates. Some months, there would be 5 deposits between interest computations; some years there would be 53 deposits.

5 0
3 years ago
A _________ is used to change one unit to another?
slamgirl [31]

Answer:

conversion factor

Step-by-step explanation:

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

8 0
3 years ago
Select the best answer 7 x (-3) x (-2)^2=
vlada-n [284]

Hi

7(-3)(-2)²

-21(-2)²

-21(4)

 = -84


I hope that's help !

6 0
3 years ago
Which of the following best describes the expression 3x + 2y + 8z?
Evgesh-ka [11]
The sum of 3 products...there r 3 terms
6 0
3 years ago
Read 2 more answers
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