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Makovka662 [10]
3 years ago
10

H(n)=n^2-1; find h(4)

Mathematics
2 answers:
LiRa [457]3 years ago
7 0

Answer:

h(4)=4²-1

=16-1

=15

hope it helps.

shtirl [24]3 years ago
4 0

Answer:

h(4) = 7

Step-by-step explanation:

given ,

h(n) = n^2 ‐ 1

if, h(4) = 4^2 ‐ 1

or, h(4) = 16‐1

or, h(4) = 15

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Suppose the desks are arranged in rows of 4. how many seating arrangements are there that put larry, moe, curly, and shemp in th
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4!=24

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3 years ago
Write an equation for the polynomial function that has 2 and -3 + 5i as zero
AysviL [449]

Answer:

p(x) = {x}^{3}  + 4{x}^{2}  + 22x- 68

Step-by-step explanation:

We want to write an equation for the polynomial function with roots;

x = 2

and

x =  - 3 + 5i

Note that complex roots come in pairs and in conjugates.

Therefore

x =  - 3 - 5i

is also a root.

By the factor theorem:

(x-2), (x+3+5i), and (x+3-5i) are factors of the polynomial.

Let p(x) be the polynomial, then in factored form.

p(x) = (x - 2)(x + 3 + 5i)(x + 3 - 5i)

We expand now to get:

p(x) = (x - 2)( {x}^{2}  + 3x  -  5ix + 3x + 9 - 15i + 5ix + 15i + 25)

Simplify now

p(x) = (x - 2)( {x}^{2}  + 6x +34)

We expand further;

p(x) = x( {x}^{2}  + 6x + 34) - 2( {x}^{2}  + 6x + 34)

p(x) = {x}^{3}  + 6 {x}^{2}  + 34x - 2 {x}^{2}   - 12x  - 68

p(x) = {x}^{3}  + 4{x}^{2}  + 22x- 68

8 0
3 years ago
Find the y intercept of the line y+3=4(x+3)
lys-0071 [83]
Y-Intercept is: (0,9)
3 0
3 years ago
What is the value of 1/2 x power of 3 + 5.3y, when x = 2 and y = 3? (1 point)
sleet_krkn [62]
1/2 (2) + 3 + 5.3 (3)
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19.9
6 0
3 years ago
Read 2 more answers
The length of a rectangle is three more than twice its width the perimeter of a rectangle is 42 cm what is the length of the rec
Maurinko [17]

Answer:

The length of the rectangle is 15 cm.

Step-by-step explanation:

breadth(b)=?

length(l)= 3+2b

perimeter(P)= 42 cm

Now,

  P = 2 ( l+b )

or, 42= 2 ( 3+2b+b)

or, 42 = 2 ( 3+3b)

or, \frac{42}{2} = 3+3b

or, 21 = 3+3b

or, 21-3 =3b

or, 18 = 3b

or, \frac{18}{3} = b

or, 6 = b

Here, Breadth(b)= 6 cm

Length (l) = 3 + 2*6

              = 3 + 12

              =15 cm

5 0
3 years ago
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