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natali 33 [55]
2 years ago
6

The cubic polynomial below has a double root at r4 and one root at x = 6 and passes Through the point (2, 36) as shown. Algebrai

cally determine its equation in factored form. Show how you arrived at your answer.
PLEASE HELP ITS BEEN HOURS
Mathematics
1 answer:
qaws [65]2 years ago
3 0

The graph in the question is missing.

Answer:

y  = \frac{-1}{4}( x^3 + 2x^2 - 32x -96)

Step-by-step explanation:

The function is cubic

It has roots as -4, -4 , 6

this means the value of x = -4, -4 , 6 which makes the entire equation zero

so we have solutions as

x+4 = 0

x+4 = 0

x- 6 = 0

on forming a cubic equation using these

(x+4)(x+4)(x-6)

the equation passes through (2,36)

put x = 2

(2+4)(2+4)(2-6) = (6)*(6)*(-4)

which exceeds 36 so we product the equation with -1/4 to get 36

Final equation

y = \frac{-1}{4} (x+4)(x+4)(x-6)

  y  = \frac{-1}{4}( x^3 + 2x^2 - 32x -96)

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If h is m above the ocean and your trying to find when the rocket reaches that ocean… as the function gives the height above the ocean at a given time, when the height equals 0 the rocket will have reached the ocean so solve for t when h=0. working out in the photo. i got t=48.88seconds

4 0
2 years ago
Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program.
Ivahew [28]

The equation that model a quadratic function is:  y=0.9673x²-0.8475x+10.4334

Step-by-step explanation:

A quadratic function has the form of ;

f(x) = ax²+bx+c  where a, b and c are real numbers and a≠0

For this case, equation y=0.9673x²-0.8475x+10.4334 models a quadratic function where a>0 thus the parabola opens upwards

See attached figure below to visualize the graph

Learn More

Quadratic functions graphs: brainly.com/question/9048896

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4 0
3 years ago
Need help somebody pleaseee
horsena [70]

Answer:

The second one I believe

8 0
3 years ago
5) through: (-3, 3), slope = 0​
Elan Coil [88]

Answer:

3

Step-by-step explanation:

We know that -3 is on the x axis and 3 is on the y axis.

and the y axis usually determines if you are going to have a positive slope or negative since it would either rise or decrease. In this cause (-3, 3) shows that 3 is going to be our slope.

4 0
3 years ago
Read 2 more answers
Can someone please explain this
Pani-rosa [81]

Answer:

x = 7

Step-by-step explanation:

There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x

180 = 33 + 90 + 7x +8

172 = 33 + 90 + 7x

139 = 90 +7x

49 = 7x

7 = x

6 0
3 years ago
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