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BARSIC [14]
3 years ago
14

The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root?

Use a graphing calculator and a system of equations.
Mathematics
2 answers:
Ymorist [56]3 years ago
5 0

Answer:

-1,3i,-3i

Step-by-step explanation:

X^3+x^2=-9x-9

x^3+x^2+9x+9=0

x^2(x+1)+9(x+1)=0 factorize by taking x+1 common factor

(x+1)(x^2+9)=0

x+1=0 then x=-1

(x^2+9)=0 then x=+ 0r - 3i

anygoal [31]3 years ago
4 0

Answer:

-1

Step-by-step explanation:

got it right on edy.

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The roots of a quadratic equation are 4 and -5. Which quadratic equation has these roots?
Y_Kistochka [10]

Answer:

(x-4)(x+5) or x^2+x-20

Step-by-step explanation:

If a root of the function is 4, (meaning that when y=0, x=4) it can be rewritten as x-4.

The same goes for if a root is -5. it will simplify to x+5.

These are called factors of a quadratic equation.

Put together, they look like (x-4)(x+5). Using the FOIL method, that can be simplified to x^2+x-20

8 0
2 years ago
Help please!!!!!!!! It’s pre cal
tino4ka555 [31]

Answer:

No, the inverse function does not pass the vertical line test.

Step-by-step explanation:

Remember that h(x)=y. To find the inverse of our function we are going to invert x and y and solve for y:

h(x)=x^2+3

y=x^2+3

x=y^2+3

x-3=y^2

y=\pm\sqrt{x-3}

h^{-1}(x)=\pm\sqrt{x-3}

Now we can graph our function an perform the vertical line test (check the attached picture).

Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.

As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.

We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.

6 0
3 years ago
Read 2 more answers
Find the area of the triangle that divides the parallelogram in half.​
nignag [31]

equation: 1/2bh

workings...

13x9= 117

117/2=58.5

answer: 58.5cm^2

4 0
3 years ago
Plot the four points on the number line below <br> -1/3 1 2/3 2/3 1 1/3
navik [9.2K]

Answer:

Step-by-step explanation:

6 0
2 years ago
Gimme the radius circumference and area<br> plsss i beg
Gala2k [10]

Answer:

radius = 5.75 units

circumference = 36.11 units

Area = 103.81625 square units

Step-by-step explanation:

Radius = 11.5 / 2 = 5.75

Circumference = 11.5 x 3.14 = 36.11

Area = 5.75 x 5.75 x 3.14 =

33.0625 x 3.14 =

103.81625 units square

This is all if pi = 3.14

Hope that helps!

4 0
2 years ago
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