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inn [45]
3 years ago
7

How to factor the function: f(x)= 2x^3+14x^2+24x

Mathematics
1 answer:
larisa [96]3 years ago
5 0
We first an take out a factor of 2x
2x(x^2 + 7x + 12)
Then factor inside the brackets
2x(x+4)(x+3)
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What is the value of a in the equation 5a-10b=45, when b=3?
Ainat [17]

Answer:5a-30=45


Step-by-step explanation:

So something times 5 minus 30 will give you 45


8 0
3 years ago
Read 2 more answers
Please help !! what’s the answer? i don’t understand !!
dedylja [7]

Answer:

992

Step-by-step explanation:

You must convert the meter the kilometer by miltiplying by 1000

and when you do it you must multiply 0.992 by 1000 since it is a fraction .

or you can work it this way :

  • 0.992⇒1m
  • x(the new rate) ⇒1000m
  • x= 0.992*1000= 992

7 0
3 years ago
Let v be an eigenvector of a matrix A with a corresponding eigenvalue ?=2. Find one solution x of the system Ax=v.
Murljashka [212]

Answer with explanation:

For, a Matrix A , having eigenvector 'v' has eigenvalue =2

 The order of matrix is not given.

It has one eigenvalue it means it is of order , 1×1.

→A=[a]

Determinant [a-k I]=0, where k is eigenvalue of the given matrix.

It is given that,

k=2

For, k=2, the matrix [a-2 I] will become singular,that is

→ Determinant |a-2 I|=0

→I=[1]

→a=2

Let , v be the corresponding eigenvector of the given eigenvalue.

→[a-I] v=0

→[2-1] v=[0]

→[v]=[0]

→v=0

Now, corresponding eigenvector(v), when eigenvalue is 2 =0

 We have to find solution of the system

→Ax=v

→[2] x=0

→[2 x] =[0]

→x=0, is one solution of the system.

5 0
3 years ago
Help with question 24. Please provide explanation! Big points
DerKrebs [107]

Answer:

4/3

Step-by-step explanation:

-3y + 4x = -6

-3y = -6 -4y

slove for Y

y = -6/-3 -4/-3 x

Y = -2 +4/3x

Y = 4/3 x -2

Y = 4/3 x -2

so slope or gradient is coefficient of x

4/3 is gradient.

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME ITS DUE TOMORROW!! THANKS!
leonid [27]
PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12

Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36

Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36

Pablo has 1 1/36 quarts more than Rosa

PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3

Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9

Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12

Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts
6 0
3 years ago
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