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Masteriza [31]
4 years ago
11

What substitution should be used to rewrite 4x^4-21x^2+20 =0 as a quadratic equation

Mathematics
1 answer:
marysya [2.9K]4 years ago
7 0

I would substitute y = x^2

4y^2 -21y+20=0

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Write in simplest form:<br> 4 1/3 : 7
bagirrra123 [75]
The simplest form can be 13/3: 7 or 4.3:7
4 0
3 years ago
Read 2 more answers
Is the product of two imaginary numbers always imaginary?
Diano4ka-milaya [45]
No. i*i = -1

2i*3i=-6

now if they meant complex numbers the answer is still no

(2+4i)(2-4i) = 4-8i+8i-16 = -12
3 0
3 years ago
(n2+11n+25) ÷ ( n+5) long division
zmey [24]

Answer:

(n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5} or n+6,R5

Step-by-step explanation:

<u>Synthetic division:</u>

-5 | 1  11  25

____<u>-5 -30</u>

     1  6 | -5

Therefore, (n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5} or n+6,_$R$5

<u>Long division:</u>

n+5 | n² + 11n + 25

    -   <u>n² + 5n____</u> <-- n

                6n + 25

    -   <u>        6n + 30</u> <-- 6

                         -5 | n+6

Therefore, (n^2+11n+25)\div( n+5)=n+6-\frac{5}{n+5} or n+6,_$R$5

6 0
3 years ago
2x − 4y = 40,<br> −x + 2y = −20<br><br> Find x and y intercept
Basile [38]

Answer:

The x and y intercept are (20,0)

Step-by-step explanation:

2x-4y=40—eqn1

-x+2y=-20—eqn2

Make x the subject of eqn2

-x=-20-2y

x=20+2y

plug this into eqn 1

2(20+2y)+4y=40

40+4y+4y=40

8y=40-40

y=0

plug y=0 into eqn2

-x+2(0)=-20

-x=-20

x=20

8 0
2 years ago
Find the 57th derivative of y = cos(7x).
mel-nik [20]
                      y = cos(7x)

First derivative = -7sin(7x)

Second derivative = - (7^2)cos(7x)

3rd derivative = (7^3)sin(7x)

4th derivative =  (7^4) cos(7x)

5th derivative = -(7^5) sin (7x)

6th derivative = -(7^6) cos(7x)

nth derivative ?

Analysis and conclusion

If n is multiple of 4 or a number before a multiple of 8 the sign is positive

If n is one or two numbers after a multiple of 4 the sign is negative.

7 is raised to exponent n

if n is odd the function is sin(7x), if n is even the function is cos(7x)

n = 57 => odd, and it is a number after 56 which is a multiple of 4 => negative sign

Therefore, the 57th derivative = - (7^57)sin(7x)

6 0
3 years ago
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