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Tems11 [23]
3 years ago
11

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

f(x) = x3 + 3x2 − 4x − 12

Step-by-step explanation:

A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.

(x+3)(x+2)(x-2)

(x^2 + 3x + 2x + 6)(x-2)

(x^2 + 5x + 6)(x-2)

x^3 + 5x^2 + 6x -2x^2 - 10x - 12

x^3 + 3x^2 - 4x - 12

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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Andrew [12]
Answer:  x = 9.611 ;  or ;  x = 9  11/18 .
_________________________________________________
Explanation:
________________________________________________

All angles of any triangle must add up to 180 degrees.

So,  (10x - 4)  + (8x + 3) + 91 = 180 ;  Solve for "x" ; 
___________________________________________
    10x - 4 + 8x + 3 + 81 = 180 ;

Combine the "like terms" on the left-hand side of the equation:
___________________________________________
      +10x + 8x = 18x ;
        
       - 4 + 3 + 8 = 7 ;
____________________________
          18x  +  7 = 180 ;
___________________________________________
   Subtract  "7" from each side of the equation:
___________________________________________
         18x + 7 - 7 = 180 - 7 ;
___________________________________________
to get:  
  
         18x  = 173 ; 
_________________________________
Divide EACH side of the equation by "18" ; to isolate "x" on one side of the equation;  and to solve for "x" ; 
_________________________________
         18x / 18  = 173 / 18 ;
_________________________________
                   x = 9.6111111111111111....
_____________________________________
  
Write as:  9.611 ;  or;   9  11/18.
____________________________________



7 0
3 years ago
An airplane 40,000 feet above the ground begins descending at a rate of 1,500 feet per minute. Write an equation to model the si
user100 [1]

Answer:

h(t) = 40,000 - 1,500t

Step-by-step explanation:

Let h(t) be the height of the airplane after t minutes.

h(t) = 40,000 - 1,500t

4 0
3 years ago
What is 3 X 3/4 ? please help me
Vilka [71]
It is a multiplication question, just multiply: 3 x 3/4 = 9/4, now convert into mixed number and the answer is 2 1/4. I highly suggest learning how to solve simple math like this, it is quite easy.
8 0
3 years ago
Read 2 more answers
Can someone explain how to due this
ElenaW [278]
It’s just 5 you divide 9 into 45 and get a whole number of 5
7 0
3 years ago
Please help with #35 I don’t get it and I’m really stressed
skad [1K]

Don't let it get to ya. If they didn't think you're capable of answering this question, they wouldn't ask you. So they know your abilities better than you do.

We don't know the unknown number, so in order to discuss it, we have to give it some kind of a name. We could call it 'x', 'y', 'Ana, 'Q', or 'Ralph'. Let's call it 't'.

The unknown number . . . . . t

Five times the number . . . . . 5t

Nine less than five times the number . . . . . 5t - 9 . Hold on to this quantity.

Twice the number . . . . . 2t .

Three more than twice the number . . . . . 2t + 3. Hold on to this quantity too.

The question says that these two quantities are equal. So the equation is

5t - 9 = 2t + 3 . This is the equation in both choices 'c' and 'd' . I guess we'll have to solve it to find out which choice is the correct one.

The equation is . . . . . 5t - 9 = 2t + 3

Add 9 to each side . . . . . 5t = 2t + 12

Subtract 2t from each side . . . 3t = 12

Divide each side by 3 . . . . . t = 4 .

It looks like choice-d is the winner.

3 0
3 years ago
Read 2 more answers
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