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son4ous [18]
3 years ago
12

Solve a+1= square root b+1 for b

Mathematics
2 answers:
Ksivusya [100]3 years ago
7 0
In order to get b our from under that square root sign, we have to square it.  But if we square that side we also have to square the other side because this is an equation, after all, and we need to keep it in balance.  If we square the right, we undo the square root, and the equation then looks like this: (a+1)^2=b+1.  We will FOIL out the left side to get a^2+2a+1=b+1.  Now, to solve for b, we will subtract the 1 from both sides, leaving us with b=a^2+2a, the first of your choices above.
Alex Ar [27]3 years ago
6 0
Answer A is correct
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Write the equation, in standard form, of a polynomial of the least degree with integral
Hitman42 [59]

Answer:

f

(

x

)

=

3

x

3

−

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x

2

−

47

x

−

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Explanation:

If the zero is c, the factor is (x-c).

So for zeros of

−

3

,

−

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3

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(

x

+

3

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(

x

+

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3

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(

x

−

5

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Let's take a look at the factor

(

x

+

1

3

)

. Using the factor in this form will not result in integer coefficients because

1

3

is not an integer.

Move the

3

in front of the x and leave the

1

in place:

(

3

x

+

1

)

.

When set equal to zero and solved, both

(

x

+

1

3

)

=

0

and

(

3

x

+

1

)

=

0

result in

x

=

−

1

3

.

f

(

x

)

=

(

x

+

3

)

(

3

x

+

1

)

(

x

−

5

)

Multiply the first two factors.

f

(

x

)

=

(

3

x

2

+

10

x

+

3

)

(

x

−

5

)

Multiply/distribute again.

f

(

x

)

=

3

x

3

+

10

x

2

+

3

x

−

15

x

2

−

50

x

−

15

Combine like terms.

f

(

x

)

=

3

x

3

−

5

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5 0
3 years ago
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3 years ago
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Viktor [21]

Answer:

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6 0
3 years ago
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mr_godi [17]

Answer:

The probability that the card will be a heart or a face card is P=0.4231.

Step-by-step explanation:

We have a standard deck of 52 cards.

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We also have a total of 12 face cards (4 per each suit). So there are 3 face cards that are also a heart.

To calculate the probability that a card be a heart or a face card, we sum the probability of a card being a heart and the probability of it being a face card, and substract the probability of being a heart AND a face card.

We can express that as:

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Answer:

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Step-by-step explanation:

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