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2 years ago

Solve the absolute value equation, if possible. If there is no solution, explain why.

1 answer:

5 0

There is no solution. I know this because the answer to an absolute value expression cannot be a negative.

Let´s explain. The absolute value means how far the number is from 0. You can´t be -5 units away from 0, right? This is why the answer to an absolute value expression cannot be negative.

Since the whole left side of the equation is surrounded by absolute value bars, it should be equal to a positive number. But it's not. So, there is no solution.

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Write an equation in slope-intercept form of the line that passes through (-6,4) and (-1,2).

xz_007 [3.2K]

Answer:

Step-by-step explanation:

(-6 , 4) & (-1 , 2)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}$

m = -2/5 & (-6 , 4)

y -y1 = m(x -x1)

$y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}$

6 0

2 years ago

What’s the area? Please help

Nana76 [90]

Answer:

24.5

Step-by-step explanation:

3 0

2 years ago

A rare mutation only occurs in 1 in every 2048 generations of fruit flies. We can assume that whether or not the mutation occurs

sergey [27]

Answer:

(A) 0.0244

(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive

Step-by-step explanation:

The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).

(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.

The accurate probability is gotten when 50 is divided by 2048

50÷2048 = 0.0244

(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;

- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.

- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).

- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.

5 0

3 years ago

A. Use this diagram of a right triangle to derive and prove the Pythagorean Identity, based on sin θ and cos θ. Start with what

Taya2010 [7]

0x - 12 so she is wrong. 2x hope this helps

5 0

2 years ago

Help pls what's the common difference

horsena [70]

Answer:

#9: 5

#10: -2

#11: -1.5

Step-by-step explanation:

#9: 3,8,13,18,23,(28),(33),(38),.. Go up by 5 each time, so the common difference is 5.

#10: 11,9,7,5,3,(1),(-1),(-3),... Go down (-) by 2 each time, so the common difference is -2.

#11: 3, 1.5, 0, -1.5, -3, (-4.5), (-6), (-7.5),... Go down (-) by 1.5 each time, so the common difference is -1.5.

7 0

2 years ago