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svetlana [45]
3 years ago
7

Use the grouping method to factor this polynomial completely. 3x3 + 12x2 + 2x + 8

Mathematics
1 answer:
dezoksy [38]3 years ago
3 0

Answer:

(3x^2 + 2)(x + 4).

Step-by-step explanation:

3x3 + 12x2 + 2x + 8

3x^2(x + 4) + 2(x + 4)   The  x + 4 is common to the 2 groups so we have:

(3x^2 + 2)(x + 4).

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Step-by-step explanation:

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3 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.
morpeh [17]

Answer:

63

Step-by-step explanation:

40+77=117

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3 years ago
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Suppose that 5 out of 13 people are to be chosen to go on a mission trip. In how many ways can these 5 be chosen if the order in
algol [13]

5 People can be chosen  in 1287 ways if the order in which they are chosen is not important.

Step-by-step explanation:

Given:

Total number of students= 13

Number of Students to be selected= 5

To Find :

The number of ways in which the 5 people can be selected=?

Solution:

Let us use the permutation and combination to solve this problem

nCr=\frac{(n)!}{(n-r)!(r)!}

So here , n =13  and r=5 ,  

So after putting the value  of n and r , the equation will be

13C_5=\frac{(13)!}{(13-5)!(5)!}

13C_5=\frac{(13 \times12 \times11 \times10 \times9 \times8\times7 \times6 \times5 \times4 \times3 \times2 \times1)}{(8 \times7 \times6 \times5 \times4 \times3 \times2 \times1)(5 \times4 \times3 \times2 \times1)}

13C_5=\frac{(13 \times12 \times11 \times10 \times9 )}{((5 \times4 \times3 \times2 \times1)}

13C_5=\frac{154440}{120}

13C_5= 1287

8 0
4 years ago
2.2
Ludmilka [50]

Answer:

R180

Step-by-step explanation:

Adjusted income = (original pocket money x new ratio) / old ratio

( 6 x $150) / 5 = $180

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2 years ago
Show all the steps that you use to solve this problem.
Monica [59]

Answer:

11

Step-by-step explanation:

5 x 2 =10

10+6=16

16-1=15

5 0
2 years ago
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