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Dimas [21]
3 years ago
8

Solve 9x2 + 6 = 12x

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0

Step-by-step explanation:

9x² + 6 = 12x

3x² + 2 = 4x

3x² − 4x + 2 = 0

Use quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)

x = [ 4 ± √(16 − 24) ] / 6

x = [ 4 ± √(-8) ] / 6

x = (4 ± 2i√2) / 6

x = (2 ± i√2) / 3

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62/100 but simplified is 32/50

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Point C is the Image of C (-4,-2) under a Reflection across the x-axis.
Svetradugi [14.3K]

Step-by-step explanation:

\text {Reflection Rule for across the X-axis: } (x,y) \rightarrow (x,-y)

Using the point C (-4,-2) and the refection rule:

(-4,-2) \rightarrow(-4, 2)

\text {C' should be (-4,2)}

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3 years ago
Jessica purchased a 600-minute pre-paid phone card and called her sister at college. After talking to her sister "t" minutes, sh
Vesna [10]

Answer:

1) 600-t

2) 600-t=65

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The base of a solid is bounded by the curve y = sqrt (x+1) the x-axis and the line x = 1. the cross sections, taken perpendicula
Andrei [34K]

See attached for a sketch of some of the cross sections.

Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).

If the thickness of each cross section is ∆x, then the volume of each cross section is

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3 0
2 years ago
The probability distribution for the random variable x follows. x f(x) 20 0.20 25 0.15 30 0.30 35 0.35 (a) Is this probability d
Damm [24]

Answer:

(a) The probability distribution is valid.

(b) The probability that x = 30 is 0.30.

Step-by-step explanation:

The probability distribution of the random variable <em>X</em> is:

<em>    x</em>:  20   |  25  |  30   |   35

f (<em>x</em>): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

  1. 0 ≤ P (X) ≤ 1
  2. ∑ P (X) = 1

All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

\sum P(X)=0.20+0.15+0.30+0.35=1

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of <em>X</em> = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

6 0
3 years ago
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