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taurus [48]
3 years ago
11

Factor completely 2x3 + 6x2 + 2x + 6.

Mathematics
2 answers:
katovenus [111]3 years ago
4 0

The answer is 2(x + 3)(x^2 + 1).

Steps:

2x^3 + 6x^2 + 2x + 6

2x^3 + 2x + 6x^2 + 6

2x(x^2 + 1) + 6(x^2 + 1)

(2x + 6)(x^2 + 1)

2(x + 3)(x^2 + 1)

Tanzania [10]3 years ago
4 0

2X^2(X+3)+2(X+3)

(2X^2+2)(X+3)

2(X^2+1)(X+3)

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Need help with both of these please!! ASAP
Alik [6]

x = 1

Answer:

m\angle XVW = 100\degree

Step-by-step explanation:

In the first figure, FP is the bisector of \angle DFE

\therefore m\angle 1 = m\angle 2\\\therefore 44x + 1 = 46x - 1\\\therefore 1 + 1 = 46x - 44x\\\therefore 2 = 2x\\\therefore \frac{2}{2} = x \\\huge \red {\boxed {\therefore x = 1}}

In the second figure, VP is the bisector of \angle XVW

\therefore m\angle 1 = m\angle 2\\\therefore 12x + 2 = 11x +6\\\therefore 12x - 11x = 6 - 2\\\therefore x  = 4\\\because m\angle XVW = m\angle1 + m\angle 2\\\therefore m\angle XVW = 12x + 2 + 11x +6\\\therefore m\angle XVW = 23x + 8\\\therefore m\angle XVW = 23\times 4+ 8\\\therefore m\angle XVW = 92+ 8\\\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\

8 0
3 years ago
Samantha sends her son, Barry, to a preschool center on certain days. The cost of preschool is $45 per day along with a fixed mo
MAXImum [283]

Answer:

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>

Step-by-step explanation:

We are given fixed monthly charge = $70.

The cost of preschool per day = $45.

Number of days = d.

Total cost of d days = cost per day × number of days + fixed monthly charge.

Therefore, we get equation

880 = 45×d+70

<h3>880 = 45d +70.</h3>

Now, we need to solve the equation for d.

Subtracting 70 from both sides, we get

880-70 = 45d +70-70

810=45d

Dividing both sides by 45, we get

\frac{810}{45} =\frac{45d}{45}

18=d.

Therefore,<em> 18 days Barry attended preschool last month.</em>

<em>Therefore, correct option is D option.</em>

<h3><em>D. 880 = 45d + 70; 18 days.</em></h3>
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3 years ago
Can someone help, please?
Kipish [7]
I think the answer is c
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2 years ago
the functuon y=30+5x represents the cost y (in dollars) of having your dog groomed and buying x extra services. does this situat
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We want to see if the given function represents a linear function.

We will see that yes, it does.

So we have the function:

y = f(x) = 30 + 5*x

And a general linear function is written as:

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Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.

A graph of our function also can be seen below, where it is evident that it is a line.

If you want to learn more, you can read:

brainly.com/question/20286983

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Ok done. Thank to me:>

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