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cricket20 [7]
3 years ago
15

Plz answer the following equation. Plz answer all the questions... !!! 20 pts !! With explanations of each and plz can you make

e understand them.

Mathematics
2 answers:
Nonamiya [84]3 years ago
6 0

Answer:

add the negative to the 0 that is left alone at the end then carry the x2 over to the side bringing it down with the x and cancel them taking away the 2. the answer is -1

Step-by-step explanation:

Lyrx [107]3 years ago
6 0

Answer:

2+√3

2-√3

Step-by-step explanation:

  • 4x-1-x²=0
  • x²-4x+1=0
  • x²-4x+4-3=0
  • (x-2)²=3
  • x-2=√3 ⇒ x= 2+√3
  • x-2= -√3 ⇒ x= 2-√3

Roots are irrational

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1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is \frac{1}{6}.

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is \frac{3}{6} = \frac{1}{2}.

<h3>Here are two more examples: </h3>

If a coin is flipped twice, determine the probability that it will land heads both times:

Favorable outcomes: 1 -- HH

Possible outcomes: 4 -- HH, HT, TH, TT

Thus, the probability that the coin will land heads both times is \frac{1}{4}.

If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?

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6 0
3 years ago
Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g
olchik [2.2K]

If x is the first number in the progression, and r is the common ratio between consecutive terms, then the first four terms in the progression are

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We want to have

\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}

In the second equation, we have

xr^3-xr=xr(r^2-1)=36

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xr^2-x=x(r^2-1)=12

Substituting this into the second equation, we find

xr(r^2-1)=12r=36\implies r=3

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4 0
3 years ago
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out of

2

x

2

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2

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x

2

)

+

6

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4

Factor

2

out of

6

x

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2

(

x

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+

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(

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4

Factor

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−

4

.

2

x

2

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2

(

3

x

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2

⋅

−

2

Factor

2

out of

2

x

2

+

2

(

3

x

)

.

2(

x

2

+

3

x

)

+

2

⋅

−

2

Factor

2

out of

2

(

x

2

+

3

x

)

+

2

⋅

−

2

.

2

(

x

2

+

3

x

−

2

)

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