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Zolol [24]
3 years ago
9

Factor completely 2x^3+4x^2+6x+12

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
7 0

Answer: 2(x^3+2x+3x+6)

Step-by-step explanation:

Anna71 [15]3 years ago
6 0

Answer:

2(x+2) (x^2+3)

Step-by-step explanation:

2x^3+4x^2+6x+12

I will use factor by grouping

2x^3+4x^2   +6x+12

Taking 2x^2 from the first two terms and 6 from the last two terms

2x^2( x+2)  +6(x+2)

Now I can factor x+2 out

(x +2)(2x^2+6)

We see in the last term that we can factor out 2

(x+2) 2(x^2+3)

Rearranging

2(x+2) (x^2+3)

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Stans steak house has a server to cook ratio of 5 to 2.The total number of servers and cooks is 42. How many servers does Stans
aivan3 [116]

Answer: 30 servers

5+2 = 7

42/7 = 6 sets of employees

5*6 = 30 servers

Step-by-step explanation:

5+2 = 7

42/7 = 6 sets of employees

5*6 = 30 servers

3 0
3 years ago
Anyone found this answer for this question?
Marianna [84]

Answer:

Where is the question

6 0
3 years ago
What are the values of x and y?
tresset_1 [31]

Step-by-step explanation:

y is easy.

it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.

so, Pythagoras :

y² = 8² + 6² = 64 + 36 = 100

y = 10

x is a bit more complex.

I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.

so, if we call the segments of the Hypotenuse a and b with a = 6, we have

x = a + b = 6 + b

height (8) = sqrt(a×b) = sqrt(6b)

therefore,

6b = height² = 8² = 64

b = 64/6 = 32/3 = 10 2/3 = 10.66666666...

so,

x = 6 + 10.66666... = 16.666666666...

round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67

6 0
2 years ago
FIRST ONE TO ANSWER GETS BRAINLIEST Henry divided his socks into five equal groups. Let s represent the total number of socks. W
Alex777 [14]

Answer: There are 20 socks in the first case and there are 75 socks in the second case.

Step-by-step explanation:

Since we have given that

Number of equal groups = 5

Let the total number of socks be 's'.

According to question, expression will be

Now, Suppose number of socks in each group = 4

So, it will become,

Suppose number of socks in each group = 15

So, Total number of socks become

Hence, there are 20 socks in the first case and there are 75 socks in the second case.

3 0
3 years ago
The packaging lists a model airplane’s length as 10.5 in. It also gives the scale as 1:83. What is the length of the actual airp
Lana71 [14]
\bf \cfrac{\stackrel{model}{length}}{\stackrel{actual}{length}}\qquad 1:83\qquad \cfrac{1}{83}\implies \cfrac{1}{83}=\cfrac{10.5}{x}\implies x=\cfrac{83\cdot 10.5}{1}
\\\\\\
x=871.5~inches
\\\\\\
\textit{there are 12 inches in 1 foot, thus }
\\\\\\
871.5~\underline{in}\cdot \cfrac{ft}{12~\underline{in}}\implies 72.625~ft 
\qquad \approx 73~ft
6 0
3 years ago
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