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serious [3.7K]
3 years ago
8

Simplify 4x^3-3x^2+ x +3x^3

Mathematics
1 answer:
ch4aika [34]3 years ago
7 0
4x^{3} - 3x^{2} + x + 3x^{3}

First, gather the like terms. / Your problem should look like: (4x^{3} + 3x^{3} ) - 3x^{2} + x
Second, simplify. / Your problem should look like: 7x^{3} - 3x^{2} + x

Answer: 7x^{3} - 3x^{2} + x

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PLZ HELP ASAP!! (Algebra)
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Answer:

Rational, integers, whole, natural, real

Step-by-step explanation:

109 is rational because it can be expressed as the ratio of two integers: 109:1

109 is integer because it can be written with no fractions

109 is a whole number because it has no decimals

109 is natural because it is an integer greater than 0

Hope this helps! ;)

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Does anyone know how to do the problem
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Which of the following is a perfect square trinomial?
shutvik [7]

Answer:

A.

Step-by-step explanation:

Take a look at what happens when squaring either of these...

(ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\

Notice a couple of patterns.

1.  The last term has a positive coefficient.  That rules out answer choices C and D.

2.  The coefficient of the middle term is either +2ab \text{ or } -2ab .  So what are <em>a</em>  and <em>b</em>?  <em>a</em> is the square root of the x^2 term and <em>b</em> is the square root of the y^2 term.

25x^2 \Rightarrow a=5\\\\9y^2 \Rightarrow b=3\\\\ab=15\\\\2ab=30

The middle coefficient needs to be either +30 or -30.  The answer is choice A.

5 0
3 years ago
Find the probability that when a couple has four ​children, at least one of them is a girl. ​(Assume that boys and girls are equ
AveGali [126]

Answer:

0.9375 = 93.75% probability that at least one of the four children is a girl.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have the following sample space

In which b means boy, g means girl

b - b - b - b

b - b - b - g

b - b - g - b

b - b - g - g

b - g - b - b

b - g - b - g

b - g - g - b

b - g - g - g

g - b - b - b

g - b - b - g

g - b - g - b

g - b - g - g

g - g - b - b

g - g - b - g

g - g - g - b

g - g - g - g

Total outcomes

There are 16 total outcomes(size of the sample space)

Desired outcomes

Of these outcomes, only 1(b - b - b - b) there is not a girl.

So the number of desired outcomes is 15.

Probability:

P = \frac{15}{16} = 0.9375

0.9375 = 93.75% probability that at least one of the four children is a girl.

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25.21 this is corect :D

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