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makvit [3.9K]
3 years ago
15

(6t^4-t+1) - (6t^3-4t)

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

= 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

Step-by-step explanation:

6 {t}^{4}  - t + 1 - 6 {t}^{3}  + 4t \\  = 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

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Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

 <u>      1   0  -4</u>

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)

PART 4:

f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4

6 0
3 years ago
I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!
geniusboy [140]

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

4 0
3 years ago
PLEASE HELP!!!!!!!!BRAINLIEST PLUS 50 POINTS
docker41 [41]

Use the quadratic formula to find:

x

=

1

±

√

85

5

Explanation:

5

x

2

−

10

x

−

12

is of the form  

a

x

2

+

b

x

+

c

with  

a

=

5

,  

b

=

−

10

and  

c

=

−

12

This has discriminant  

Δ

given by the formula:

Δ

=

b

2

−

4

a

c

=

(

−

10

)

2

−

(

4

×

5

×

−

12

)

=

100

+

240

=

340

=

2

2

⋅

85

This is positive, but not a perfect square, so the quadratic equation has a pair of irrational roots, given by the quadratic formula:

x

=

−

b

±

√

b

2

−

4

a

c

2

a

=

−

b

±

√

Δ

2

a

=

10

±

√

340

10

=

10

±

2

√

85

10

=

1

±

√

85

5

5 0
3 years ago
8-2d=x please solve this for me i need it right now!!!!!!!!
olga_2 [115]

Answer: You need more information to solve this, is there another part of the question?

Step-by-step explanation:

3 0
3 years ago
1 /4, 4/9,9/16,16/25,... please find the next two terms, nth term and 10th term of the given sequence​.​
frosja888 [35]

Answer:

See below in bold.

Step-by-step explanation:

Note that the numerators are the squares of 1, 2 3, 4 ...... and the denominators are the squares of 2, 3, 4, 5.....

The next 2 terms are 25/36 and 36/49.

The nth term is n^2 / (n + 1)^2    where n is the sequence number.

The 10th term is 10^2 / 11^2

= 100/121.

5 0
3 years ago
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