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Digiron [165]
4 years ago
7

F(x) = x3 - 3x2 + 4 = 0 For the equation given, 2 has a multiplicity of? 1, 2, 3

Mathematics
2 answers:
Kruka [31]4 years ago
3 0
3 It's the highest power.
Margarita [4]4 years ago
3 0
Multiplicity is how many times
a certain solution to the function.
In this case, we are finding out how many times 2 appears in the function, meaning you’ll have to solve for it when it equals 0. You may use a calculator or use the rational roots method. I will simply derive the answer from the calculator. If you’d like to know about the rational roots method, comment.

x^3 - 3x^2 + 4 = 0 // Given
0 = (x + 1)(x - 2)(x - 2) // Calculator skills
0 = (x + 1)(x - 2)^2 // Simplify

Therefore, 2 has a multiplicity of 2

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What is the answer??
denis-greek [22]

Answer:

10a²+5ab+2b²

Step-by-step explanation:

Start by combining like terms aka the ones that match:

Step 1: (4a²-5ab-6b²) + (10ab+6a²+8b²)

Step 2: (10a²-5ab-6b²) + (10ab+8b²)

Step 3: (10a²+5ab-6b²+8b²)

Final answer: 10a²+5ab+2b²

In step 1, I added the 4 and 6. In step 2, I added -5 and 10. In step 3, I added -6 and 8. For each I attached the proper ending (a², ab, and b²).

I hope this clears some confusion!

3 0
3 years ago
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Artemon [7]

Answer:

I'll Help you

Step-by-step explanation:

6 0
3 years ago
4. Find the missing values of the Special Right Triangles. Simplify answers. **no decimals **
patriot [66]

Answer:

1)m=9ft and n=10ft

2) p=10cm and r=18cm

3) s=4mi and t=8mi

Step-by-step explanation:

1)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides m and n

m/sinD = 5/sinF

m= sin60(5/sin30)

  = 8.66

   = 9

n/sinE= 5/sin30

n= sin90(5/sin30)

  = 10

hence m=9ft and n=10ft

2)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides p and r

p/sinF = 21/sinE

p= sin30(21/sin90)

  = 10.5

   = 10

r/sinD= 21/sin90

r= sin60(21/sin90)

  = 18.18

  =18

hence p=10cm and r=18cm

3)

Finding 3rd angle:

F= 180-(90+60)

 = 180-150

 =30

Now using law of sines to find sides s and t

s/sinF = 3√6/sinD

s= sin30(3√6/sin60)

  = 4.24

   = 4

t/sinE= 3√6/sinD

t= sin90(3√6/sin60)

  = 8.48

  = 8

hence s=4mi and t=8mi !

4 0
3 years ago
Jeff is making fruit punch for the school dance. He needs 3 3/4 cups of pineapple juice per batch. If Jeff wants to make 4 1/2 b
sasho [114]
1 batch = 3 3/4 cups
4 1/2 batches = (4 1/2 x 3 3/4) = 9/2 x 15/4 = 135/8 = 16 7/8
8 0
3 years ago
The lengths of the sides of a triangle are in the extended ratio 5: 8:10. The perimeter of the triangle is 115 cm. What are the
leva [86]

Given :

  • The length of the sides of the triangle are in the ratio 5:8:10 .
  • The Perimeter of the Triangle is 115 cm.

To Find :

  • The length of the sides of the triangle.

Solution :

Let us assume the sides be 5x cm, 8x cm and 10x cm.

We know,

\qquad{ \bold{ \pmb{Sum \: of \: all \: sides \: of \: the \: triangle = Perimeter_{(Triangle)}}}}

So, Substituting the values :

\qquad { \dashrightarrow{ \sf{5x + 8x + 10x = 115}}}

\qquad { \dashrightarrow{ \sf{23x= 115}}}

\qquad { \dashrightarrow{ \sf{ \dfrac{23x}{23} = \dfrac{115}{23} }}}

\qquad { \dashrightarrow{ \bf{ x = 5 }}}

Therefore,

The length of the sides of the triangle are :

\qquad { \dashrightarrow{ \sf{ 5x \: cm= 5 \times 5 \: cm = \bf \: 25\: cm }}}

\qquad { \dashrightarrow{ \sf{ 8x \: cm= 8 \times 5 \: cm = \bf \: 40 \: cm }}}

\qquad { \dashrightarrow{ \sf{ 10x \: cm= 10 \times 5 \: cm = \bf \: 50 \: cm }}}

6 0
3 years ago
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