Assignment Details

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

Stella [2.4K]

Answer:

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$0=-3x^{2}-2x+6$

so

$a=-3\\b=-2\\c=6$

substitute in the formula

$x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(-3)(6)}} {2(-3)}$

therefore

x = StartFraction negative (negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

4 0

2 years ago

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mr smith owns a lot of valued at 12000. It is assessed at 80% of it value. how much tax does he pay if the tax rate if 1.5% of t

julsineya [31]

Find the assessed amount:

12000 x 0.80 = 9600

Multiply the assessed amount by tax rate:

9600 x 0.015 = 144

He pay $144

3 0

2 years ago

The probability that a call received by a certain switchboard will be a wrong number is 0.02. Use the Poisson distribution to ap

MAXImum [283]

Answer:

0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

The probability that a call received by a certain switchboard will be a wrong number is 0.02.

150 calls. So:

$\mu = 150*0.02 = 3$

Use the Poisson distribution to approximate the probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

Either there are less than two calls from wrong numbers, or there are at least two calls from wrong numbers. The sum of the probabilities of these events is 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want to find $P(X \geq 2)$ . So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0498 + 0.1494 = 0.1992$

Then

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.1992 = 0.2008$

0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.

6 0

2 years ago

A rectangular window has a length of 81.47 cm and a width of 34.2 cm. What is the least precise measurement of the perimeter of

Pie

The least precise measurement of the perimeter of the window is 231.30

Step-by-step explanation:

The least price measurement mean a value with the least number of significant figures.calculate the perimeter in this case as;

Perimeter of a rectangle = 2(l+w) where l is the length and w is the width

Perimeter= 2(81.47 + 34.2)

Perimeter=2(115.67)

Perimeter=231.34

Perimeter=231.30(4 significant figures)

Learn More

Significant figures : brainly.com/question/11566364

Keywords : Perimeter, Least precise measurement

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7 0

2 years ago

How many solutions does a system of linear equations in three variables have if in solving the system you correctly obtain the e

sesenic [268]

Anytime you find an equality that is always true, it means that there are infinitely many solutions.

If you arrive at 12=12, it means that the equations are always equal.

7 0

2 years ago

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