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3 years ago

What is the slope of the line that passes through the points (2, 6) and (8, 3)?

Mathematics

1 answer:

Deffense [45]3 years ago

7 0

Answer:

$-\frac{1}{2}$

Step-by-step explanation:

The slope of a line is the change in the line, it is also called; $\frac{rise}{run}$ . The equation to find the slope of a line is;

$\frac{y_2 - y_1}{x_2 - x_1}$

Substitute in the given points;

( 2, 6 ) and ( 8, 3 )

$\frac{3 - 6}{8 - 2}$

Simplify,

$\frac{-3}{6}$

$-\frac{1}{2}$

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Which of the following are solutions to |x-1|=5x+2

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Answer:

-3/4

Step-by-step explanation:

x - 1 = 5x + 2

or, 5x + 2 = x - 1

or, 5x - x = - 1 - 2

or, 4x = - 3

or, x = - 3 / 4

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3 years ago

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B, D, D

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Find the sum of the two least whole numbers such that each of the two numbers has a remainder of 1 when divided by 5 and a remai

Drupady [299]

Answer:

The correct answer is B. 82

Step-by-step explanation:

The numbers are 56 and 26. Let's prove it:

56/5 = 11 and a remainder of 1

56/6= 9 and a remainder of 2

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26/6 = 4 and a remainder of 2

56 + 26 = 82

The correct answer is B. 82

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3 years ago

A dot-com company ships products from three different warehouses (A, B, and C). Based on customer complaints, it appears that 3%

Firlakuza [10]

Answer:

The probability of getting defective product from warehouse C is 0.3448

Step-by-step explanation:

Missing question "Assume that Ware houses A, B and C ship 30%, 20% and 50% of the dot-com's sales respectively.

P(A) = Probability of product that comes from warehouse A

P(B) = Probability of product that comes from warehouse B

P(C) = Probability of product that comes from warehouse C

P(A) = 30% = 0.30, P(B) = 20% = 0.20, P(C) = 50% = 0.50

Let D denotes the number of defective products

P(D|A) = 3% = 0.03

P(D|B) = 5% = 0.05

P(D|C) = 2% = 0.02

The probability of getting defective product from warehouse C is as below using the Bayes Rule

P(C|D) = P(D|C) P(C) / P(D|A)P(A) + P(D|B)P(B) + P(D|C)P(C)

P(C|D) = 0.02 * 0.50 / (0.03*0.30) + (0.05*0.20) + (0.02*0.50)

P(C|D) = 0.01 / 0.009 + 0.01 + 0.01

P(C|D) = 0.01 / 0.029

P(C|D) = 0.3448

Therefore the probability of getting defective product from warehouse C is 0.3448.

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3 years ago

The parent function f(x) = x2 is translated such that the function g(x) = –x2 + 6x – 5 represents the new function.

zhenek [66]

Answer:

g(x) has an axis of symmetry at x = 3.

g(x) is shifted right 3 units from the graph of f(x)

g(x) is shifted up 4 units from the graph of f(x).

Step-by-step explanation:

The parent function is:

$f(x)=x^2$

The transformed function is $g(x)=-x^2+6x-5$ .

This new function can be rewritten in the vertex form as:

$g(x)=-(x-3)^2+4$

This function is obtained by shifting the parent function 3 units right and 4 units up.

The axis of symmetry is x=3;(x=h) and h=3.

There is no horizontal stretch or compression.

The new function is however reflected in the x-axis

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4 years ago

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What is the slope of the line that passes through the points (2, 6) and (8, 3)?​

What is the slope of the line that passes through the points (2, 6) and (8, 3)?