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Shalnov [3]
2 years ago
5

Write down in terms of n, an expression for the nth term

Mathematics
1 answer:
Scilla [17]2 years ago
3 0

Answer:

{ \bf{(a).}} \\ { \tt{ {n}^{th}  = a + (n - 1)d }} \\ { \tt{ {n}^{th} = 6 + (n - 1)  \times - 4 }} \\  {n}^{th}  =  10 - 4n \\  \\ { \bf{(b).}} \\ { \tt{ {n}^{th}  =  - 8 + (n- 1) \times - 7 }} \\ { \tt{ {n}^{th}  =  -1 - 7n}}

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Deepa has 57. She has 4 times as much money as Gaurav. How much
Readme [11.4K]

Answer:

42.75 dollars more

Step-by-step explanation:

57/4= 14.25

Gaurav has 14.25 dollars

57-14.25=42.75

therefore Deepa has 42.75 more dollars than Gaurav

6 0
3 years ago
A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He w
GrogVix [38]

Answer:  800 feet²

Step-by-step explanation:

Lets remove the brackets from the function's expression

A(x) = -2x²+80x

So we got the quadratic function and we have to find the x that corresponds to function's maximum. Let it be X max

As we know Xmax= (X1+X2)/2 , where X1 and X2 are the roots of the function A(x)

Lets find X1 and X2

x(80-2x)=0

x1=0   80-2*X2=0

x2=40

So Xmax= (0+40)/2=20

So Amax= A(20)= 20*(80-2*20)=20*40=800 feet²

3 0
3 years ago
Factor: 25 m 6 −16 25m6−16 (5m3 + 8)(5m3 – 8) (5m3 – 8)2 (5m3 – 4)2 (5m3 + 4)(5m3 – 4)
Liono4ka [1.6K]

Answer:

(5m^3+4)(5m^3-4)

Step-by-step explanation:

(*) A^2 - B^2 =(A+B) (A-B)

25m^6-16=

(5m^3)^2 - 4^2=(*)

(5m^3+4)(5m^3-4)

4 0
3 years ago
(4x-9)(2x^2+2x+1) (4x−9)(2x 2 +2x+1)
tia_tia [17]

Answer:

(4x-9)^2*(2x^2+2x+1)^2

Step-by-step explanation:

(((4x-9)•(((2•(x2))+2x)+1))•(4x-9))•((2x2+2x)+1)

]  (((4x-9)•((2x2+2x)+1))•(4x-9))•(2x2+2x+1)

Trying to factor by splitting the middle term

Factoring  2x2+2x+1

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   2 • 1 = 2

Step-2 : Find two factors of  2  whose sum equals the coefficient of the middle term, which is   2 .

     -2    +    -1    =    -3

     -1    +    -2    =    -3

     1    +    2    =    3

     2    +    1    =    3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

 ((4x-9)•(2x2+2x+1)•(4x-9))•(2x2+2x+1)

Multiplying Exponential Expressions:

4.1    Multiply  (4x-9)  by  (4x-9)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (4x-9)  and the exponents are :

         1 , as  (4x-9)  is the same number as  (4x-9)1

and   1 , as  (4x-9)  is the same number as  (4x-9)1

The product is therefore,  (4x-9)(1+1) = (4x-9)2

Trying to factor by splitting the middle term

5.1     Factoring  2x2+2x+1

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  +1

Step-1 : Multiply the coefficient of the first term by the constant   2 • 1 = 2

Step-2 : Find two factors of  2  whose sum equals the coefficient of the middle term, which is   2 .

     -2    +    -1    =    -3

     -1    +    -2    =    -3

     1    +    2    =    3

     2    +    1    =    3

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Multiplying Exponential Expressions:

5.2    Multiply  (2x2+2x+1)  by  (2x2+2x+1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2x2+2x+1)  and the exponents are :

      1 , as  (2x2+2x+1)  is the same number as  (2x2+2x+1)1

and   1 , as  (2x2+2x+1)  is the same number as  (2x2+2x+1)1

The product is therefore,  (2x2+2x+1)(1+1) = (2x2+2x+1)2

Final result :

 (4x - 9)2 • (2x2 + 2x + 1)2

6 0
2 years ago
I use 1.48 inches of ribbon to make 4 necklaces. How much ribbon did I use for each necklace?
grin007 [14]
0.37 inches on each necklace or 37/100.

You just need to do 1.48 divided by 4.

Hope this helps !!!
You should go to sleep soon you have school tomorrow!!
Also make sure you ate today !
7 0
3 years ago
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