All categories

3 years ago

Find the slope of the line connecting (1, 7), (10, 1)

Mathematics

1 answer:

kari74 [83]3 years ago

7 0

Slope = (Y2 -Y1) ÷ (X2 -X1)

Slope = (1 -7) / (10 -1)

Slope = -6 / 9 = -0.6666666666666666

You might be interested in

Find the expected value of the winnings

adelina 88 [10]

Multiply each payout by the corresponding probability and take the total:

E[X] = 0×0.5 + 5×0.2 + 8×0.15 + 10×0.1 + 15×0.05 = 3.95

3 0

2 years ago

Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?

sesenic [268]

Answer: D. Two or zero

Step-by-step explanation: x=-7/6+-1/6√385

There isn't an exact place you could really solve this number, regardless of the way you break it down

5 0

2 years ago

A system contains n atoms, each of which can only have zero or one quanta of energy. How many ways can you arrange r quanta of e

My name is Ann [436]

Answer:

$\mathbf{a)} 2\\ \\ \mathbf{b)} 184 \; 756 \\ \\\mathbf{c)} \dfrac{(2\times 10^{23})!}{(10^{23}!)(10^{23})!}$

Step-by-step explanation:

If the system contains $n$ atoms, we can arrange $r$ quanta of energy in

$\binom{n}{r} = \dfrac{n!}{r!(n-r)!}$

ways.

$\mathbf{a)}$

In this case,

$n = 2, r=1$ .

Therefore,

$\binom{n}{r} = \binom{2}{1} = \dfrac{2!}{1!(2-1)!} = \frac{2 \cdot 1}{1 \cdot 1} = 2$

which means that we can arrange 1 quanta of energy in 2 ways.

$\mathbf{b)}$

In this case,

$n = 20, r=10$ .

Therefore,

$\binom{n}{r} = \binom{20}{10} = \dfrac{20!}{10!(20-10)!} = \frac{10! \cdot 11 \cdot 12 \cdot \ldots \cdot 20}{10!10!} = \frac{11 \cdot 12 \cdot \ldots \cdot 20}{10 \cdot 9 \cdot \ldots \cdot 1} = 184 \; 756$

which means that we can arrange 10 quanta of energy in 184 756 ways.

$\mathbf{c)}$

In this case,

$n = 2 \times 10^{23}, r = 10^{23}$ .

Therefore, we obtain that the number of ways is

$\binom{n}{r} = \binom{2\times 10^{23}}{10^{23}} = \dfrac{(2\times 10^{23})!}{(10^{23})!(2\times 10^{23} - 10^{23})!} = \dfrac{(2\times 10^{23})!}{(10^{23}!)(10^{23})!}$

3 0

2 years ago

Which best describes the relationship between the line that passes through the points (-6, 5) and (-

Hatshy [7]

Answer:

Line that passes through the points (-6,5) and (-2,7) is,

y=x/2+8, slope is 1/2

line that passes through the points (4,2) and (6,6) is,

y=2x-6, slope is 2

so, there is no relationship between those two lines,

intersection point is (28/3,38/3)

7 0

2 years ago

Which operation, when performed on two polynomials, always results in a polynomial? Select all that apply.

Xelga [282]

Answer:

B. Division

You cannot add anything when you divide, so it would remain a polynomial.

8 0

3 years ago