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tamaranim1 [39]
3 years ago
7

Use synthetic division find the product of ( 2x+3) and (x2-5x+6)​

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

8

x

3

+

2

x

2

−

3

x

+

18

Explanation:

We have:

(

2

x

+

3

)

(

4

x

2

−

5

x

+

6

)

Now let's distribute this piece by piece:

(

2

x

)

(

4

x

2

)

=

8

x

3

(

2

x

)

(

−

5

x

)

=

−

10

x

2

(

2

x

)

(

6

)

=

12

x

(

3

)

(

4

x

2

)

=

12

x

2

(

3

)

(

−

5

x

)

=

−

15

x

(

3

)

(

6

)

=

18

And now we add them all up (I'm going to group terms in the adding):

8

x

3

−

10

x

2

+

12

x

2

+

12

x

−

15

x

+

18

And now simplify:

8

x

3

+

2

x

2

−

3

x

+

18

Step-by-step explanation:

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What is the sign of the product (3)(-3)(-2)(4)? (5 points) Select one: a. Positive, because the products (3)(-3) and (-2)(4) are
Gnesinka [82]

Answer:  a. Positive, because the products (3)(-3) and (-2)(4) are negative, and the product of two negative numbers is positive

Step-by-step explanation:  It is also possible to rearrange the factors.

(3)(4) = 12  a positive number.

(-3)(-2) = 6, a positive number. Again "a negative times a negative is a positive"  --Jaime Escalante, <em>Stand and Deliver</em>

Now you have two positive numbers: 12×6 = 72

The product is positive either way.

4 0
2 years ago
Given the below sequence:
kvasek [131]

Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a)  the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

t_{n} = a+(n-1)d

First term is a = -1 and difference is d = -2

finding fifth term is

t_{5} = -1 +(5-1)(-2)

t_{5} = -1-8 =-9

finding sixth term is

t_{6} = -1 +(6-1)(-2)

t_{6} = -1-10 =-11

finding seventh term is

t_{7} = -1 + (7-1)(-2)

t_{7} = -1 -12 =-13

The next three terms are  -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

t_{n} = a+(n-1)d

a= -1 and d =-2

<u>find 27 t h term :-</u>

<u></u>t_{27} = -1 + (27-1)(-2) = -1-52=-53<u></u>

6 0
2 years ago
Greg spent 3/4 of an hour each day for 2 days working on his project.Giselle spent 1/4 of an hour each day for 6 days working on
DerKrebs [107]

Answer:

C)They spent the same amount of time.

Step-by-step explanation:

Greg did 3/4 of an hour is 45mins for 2 days is x2 so Greg in total did 1 and 1/2 hours

Giselle did 1/4 of an hour which is 15mins for 6 days so x6 so Giselle did 1 and 1/2 hours too.

C)They spent the same amount of time on the project

8 0
2 years ago
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diamong [38]

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7 0
2 years ago
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Vlad1618 [11]

Answer:

yes

Step-by-step explanation:

5 0
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