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2 years ago

8

What is the slope-intercept equation of the line below ?

1 answer:

Jobisdone [24]2 years ago

6 0

Answer:

B. Y= -3x + 4

Step-by-step explanation:

Apex

Hope this helps Have a nice day

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in a pottery class, a teacher has 2/3 pound of clay for 6 students. If she gives each student a equal amount of clay, how much w

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She will give 1/9 pound of clay to each student

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2 years ago

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A lock has a three number code made up of 17 numbers if none of the numbers are allowed to repeat how many different ways can yo

Marrrta [24]

Answer:

680

Step-by-step explanation:

Use the binomial coefficient where you choose $k=3$ numbers out of $n=17$ possible numbers and find the total amount of combinations since order does not matter:

$\displaystyle \binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{17}{3}=\frac{17!}{3!(17-3)!}\\\\\binom{17}{3}=\frac{17!}{3!(14)!}\\\\\binom{17}{3}=\frac{17*16*15}{3*2*1}\\\\\binom{17}{3}=680$

Thus, you can make 680 three-non-repeating-number codes

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1 year ago

12. To create an open-top box out of a sheet of cardboard that is 6 inches long and

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3 years ago

Ratio of 1/16 to 1/16

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2 years ago

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What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?

s344n2d4d5 [400]

Answer:

The roots are

<h3> $x = - 3 + \frac{1}{3} i \: \: \: or \: \: \: x = - 3 - \frac{1}{3} i \\$ </h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3> $x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac} }{2a}$ </h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3> $x = \frac{ - 54\pm \sqrt{ {54}^{2} - 4(9)(82)} }{2(9)} \\ x = \frac{ - 54\pm \sqrt{2916 - 2952} }{18} \\ x = \frac{ - 54\pm \sqrt{ - 36} }{18} \\ x = \frac{ - 54\pm 6i}{18}$ </h3>

Separate the real and imaginary parts

That's

<h3> $x = - \frac{54}{18} \pm \frac{6}{18} \: i \\ x = - 3\pm \frac{1}{3} i$ </h3>

We have the final answer as

<h3> $x = - 3 + \frac{1}{3} i \: \: \: or \: \: \: x = - 3 - \frac{1}{3} i \\$ </h3>

Hope this helps you

5 0

2 years ago