1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
antoniya [11.8K]
2 years ago
8

G(x)= (x^2 +4x-12)(x-3) find the roots

Mathematics
1 answer:
KengaRu [80]2 years ago
8 0

Answer:

x = 3 or x = 2 or x = -6

Step-by-step explanation:

Solve for x:

(x - 3) (x^2 + 4 x - 12) = 0

Split into two equations:

x - 3 = 0 or x^2 + 4 x - 12 = 0

Add 3 to both sides:

x = 3 or x^2 + 4 x - 12 = 0

The left hand side factors into a product with two terms:

x = 3 or (x - 2) (x + 6) = 0

Split into two equations:

x = 3 or x - 2 = 0 or x + 6 = 0

Add 2 to both sides:

x = 3 or x = 2 or x + 6 = 0

Subtract 6 from both sides:

Answer: x = 3 or x = 2 or x = -6

You might be interested in
I took $6.00 off an $11.00 item. What % got taken off. How do I figure that out?
jeka94

Answer:

54.5454%

Step-by-step explanation:

6/11=0.545454545454 and that as a percentage is 54.5454%

8 0
3 years ago
Which of the following square root of -80
Marta_Voda [28]

You can factor -80 as

-80 = (-1)\cdot 16 \cdot 5

So, we have

\sqrt{-80} = \sqrt{(-1)\cdot 16 \cdot 5}

The square root of a product is the product of the square roots:

\sqrt{-80} = \sqrt{(-1)}\sqrt{16}\sqrt{5}

Since i^2=-1 and 4^2=16, we have

\sqrt{-80} = 4i\sqrt{5}

8 0
3 years ago
Graph the following lines and using the graph determine several values of x for which the graph is positive (negative): y=−4x+3
True [87]

Answer:


Step-by-step explanation:

Given line is,

y=-4x+3

when, x=-1 , y=-4(-1)+3=4+3=7

when, x=0 , y=-4(0)+3=0+3=3

when, x=1 , y=-4(1)+3=-4+3=-1

So, we got the points  (-1,7) , (0,3) , (1,-1)

Now, putting the points in the graph and adding them , we will get the graph of given line.

Please check image for the graph.


Now for the second part-

The graph is positive means- it will be above the x-axis, that is y value will be positive.

From the graph we can see that, if x<0 , then y is positive.

So, any value of x which is less than 0 , will give the positive graph here.

6 0
3 years ago
Question is linked, i need this solved within 20 minutes.<br> Question theme: Inverse proportion.
Sergio [31]

Answer:

Answer:The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.

Step-by-step explanation:

3 0
3 years ago
A cylinder has volume 45 pie and radius 3. What is its height?
liraira [26]

Answer:

5 units

Step-by-step explanation:

The <u>volume of the cylinder</u> is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.

⇒ πr²h = Volume of cylinder

⇒ (π)(3²)(h) = 45π

Now, simplify the equation to evaluate the area of the cylinder.

⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)

⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units

7 0
2 years ago
Other questions:
  • How do you answer this ??
    13·1 answer
  • Express 80 miles per hour in kilometers per hour
    7·2 answers
  • Which of the following is NOT an example of matter?
    13·1 answer
  • Changing the value of b in results in a _____ of the graph.
    13·1 answer
  • For the pair of functions, find (f o g)(x) and (gof)(x).show work!!!!!
    7·1 answer
  • Grace, Chelsea, and Roan are simplifying the same polynomial expression. Which
    8·1 answer
  • Find the x - intercept of the line: -4x-2y =16
    13·1 answer
  • PLEASE HELP!!!<br> explain your reasoning!!!
    9·2 answers
  • Help asap 20 points <br><br> Select the correct answer from each drop-down menu.
    6·1 answer
  • F(x) =x2+2x-3 g(x)=3x-14
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!