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german
3 years ago
13

I need help , I keep coming up with the wrong answers!

Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

  x=\dfrac{7\pm\sqrt{17}}{4}

Step-by-step explanation:

First of all, write the equation in standard form. Then identify a, b, c and fill in the values in the formula.

  4x^2-9x=2x^2-2x-4\\\\4x^2 -9x -(2x^2-2x-4) = 0\quad\text{subtract right side}\\\\4x^2-9x-2x^2+2x+4=0\quad\text{eliminate parentheses}\\\\2x^2 -7x+4=0\quad\text{collect terms; a=2, b=-7, c=4}\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\quad\text{quadratic formula}\\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4(2)(4)}}{2(2)}\quad\text{fill in a, b, c}\\\\\boxed{x=\dfrac{7\pm\sqrt{17}}{4}}\quad\text{simplify}

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There’s 60 seconds in a min
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3 years ago
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Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
denpristay [2]

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

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Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

8 0
3 years ago
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spayn [35]

Answer:

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Step-by-step explanation:

As you can tell from the example, the exponent of 1/2 is the number of heads in a row.

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b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096

_____

<em>Additional comment</em>

The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.

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2 years ago
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gregori [183]

Answer:

Rational Numbers

−17.6 (-176/10)

81

13/14

Rational Numbers

15π

square root −29

Step-by-step explanation:

Rational Numbers are those numbers which can be written as Ratio of two numbers.

Irrationational Numbers are those which cannot be written as ratio of two numbers. such as recurring numbers.

e.g 0.26262626.........

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dimaraw [331]
D = {16, 19, 21}
E = {16, 18, 19, 20}
D ∩ E = {16, 19}
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