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Bogdan [553]
3 years ago
14

Determine the zeros of the function f(x) = (x - 2)(x + 2)(x+1)^2

Mathematics
2 answers:
nydimaria [60]3 years ago
4 0
Answer-step-by-step

X=2
X=-2
X=-1
JulsSmile [24]3 years ago
4 0

Answer:

x=2, x=-2, and x=-1

Step-by-step explanation:

Function: f(x)=(x-2)(x+2)(x+1)²

We can solve each one of the zeros by making the expressions (the ones in the parentheseis) equal zero.

So we have three equations:

1.(x-2)=0

2.(x+2)=0

3.(x+1)²=0

Solve.

1.x-2=0

x=2

2. x+2=0

x=-2

3. (x+1)²=(x+1)(x+1)=0

(x+1)=0

x=-1

(x+1)=0

x=-1

Since those two were the same we can just say x=-1 once.

Here are the three zeros:

x=2, x=-2, and x=-1

hope this helps!

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How much food would you get if you had 40 bannanas and 30 apples but you lost 20 of the 30 apples?
Juli2301 [7.4K]

Answer: You would have 40 bananas and 10 apples or 50 pieces of fruit

Step-by-step explanation:

30-20=10

3 0
3 years ago
How many times can 95 go into 96
Tanzania [10]

Answer:24 times


Step-by-step explanation:Hi there!  

First of all, division is the opposite of multiplication.  So if I  

divide 72 by 3 I should get 24, since 3*24 = 72.  

(You might notice that our division looks sort of like the  

multiplication:

24

X 3

___

12

60

----

72

just in a different order.)

OK, back to long division.

The process of long division goes sort of like this:

1. Write the problem

2. Make a guess of what the answer will be

3. Check your guess, fix it if you need to

4. "Bring down"

5. Repeat  steps 2-4 until you're out of digits

So for 72 divided by three, the process would go like this:

1. Write the problem

 ----

3|72

That means 72 divided by 3, also called 3 into 72, etc.

2. Make a guess of what the answer is.

Let's cover up the 2 in 72 for a minute:  (This lets us ignore the place  

value, etc.)

 ----

3|7?

Now let's ask:  How many times does 3 go into 7?

You can make whatever guess you want.  But since we have a good idea of  

what the answer should be, let's guess 2.  

Now we write the 2 above the 7 like this:

 2

 ----

3|7?

Now, to check that we're right, we need to subtract 2 3's from 7.

We do this by multiplying 2X3 (to get 6) and then writing:

  2

 ----

3| 7?

 -6

 __

  1

We need the 2 from 72 again, so let's write it in again. In fact, we're

going to "bring it down" next to the 1 to make 12. Then we'll guess how  

many times 3 goes into 12, and so on.

Anyway:

  2

 ----

3| 72

 -6 |     <---that's supposed to be an arrow reminding you that we're

 __\ /        bringing down the 2 to make 12

  12        

Ok. So, how many times does 3 go into 12?  Let's guess 4 (sorry, I'm  

cheating since I know the answer already!)

  24

 ----

3| 72

 -6    

  -

  12

Now let's multiply 3 X 4.  Wow! We get 12.  If we subtract 12-12

   24

 ----

3| 72

 -6

  -

  12

-  12

  ---

   0

Now, we can check to make sure that 3 X 24 really does equal 72, and  

we're done.


4 0
3 years ago
Multiply. (2x2 + 4x - 3)(x2 - 2x + 5)
BigorU [14]
For a moment, let y=x^2-2x+5. Then by the distributive property,

(2x^2+4x-3)p=2x^2p+4xp-3p


Again by the distributive property,

2x^2p=2x^2(x^2-2x+5)=2x^4-4x^3+10x^2

4xp=4x(x^2-2x+5)=4x^3-8x^2+20x

-3p=-3(x^2-2x+5)=-3x^2+6x-15

Taking everything together, we get

(2x^2+4x-3)(x^2-2x+5)=(2x^4-4x^3+10x^2)+(4x^3-8x^2+20x)+(-3x^2+6x-15)
(2x^2+4x-3)(x^2-2x+5)=2x^4-x^2+26x-15
7 0
3 years ago
Read 2 more answers
How would one solve this
yaroslaw [1]
Sorry i really need points
4 0
3 years ago
Solve the following problems:
liq [111]

Answer:

  • Q1. 42 liters
  • Q2. Php. 330  

Step-by-step explanation:

Question 1

<u>Use ratios to solve:</u>

  • 12/100 = x/350
  • x = 12*350/100
  • x = 42 liters

Question 2

  • 1 basket → 5 1/2 kg ⇒ 2 baskets → 2(5 1/2) = 11 kg
  • 1 kg → 30 ⇒ 11 kg → 11*30 =  330  

Mutya earned Php. 330  

4 0
3 years ago
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