$R(x)=\dfrac{7-2x}{x^3-8x^2+7x}\\\\The\ domain:\\\\x^3-8x^2+7x\neq0\\\\x(x^2-8x+7)\neq0\\\\x(x^2-x-7x+7)\neq0\\\\x[x(x-1)-7(x-1)]\neq0\\\\x(x-1)(x-7)\neq0\iff x\neq0\ \wedge\ x-1\neq0\ \wedge\ x-7\neq0\\\\\boxed{x\neq0\ \wedge\ x\neq1\ \wedge\ x\neq7}\to\boxed{x\in\mathbb{R}-\{0,\ 1,\ 7\}}$

7 0

2 years ago

When a number is stated as a percentage, it means that number represents a portion of

dedylja [7]

100. Percent means out of hundred, so one percent means one out of a hundred, two percent means two out of a hundred, etc.

6 0

3 years ago

A coach jogs 1.8 miles on Monday, 1.3 miles on Tuesday, and 1.2 miles on Wednesday. If the coach's friend jogs twice as far as t

Bond [772]

Answer:

Coach's friend jog 8.6 miles.

Step-by-step explanation:

Given:

A coach jogs 1.8 miles on Monday, 1.3 miles on Tuesday, and 1.2 miles on Wednesday.

If the coach's friend jogs twice as far as the coach.

Now, to find the miles the coach's friend jog.

Coach jogs on Monday = 1.8 miles.

Coach jogs on Tuesday = 1.3 miles.

Coach jogs on Wednesday = 1.2 miles.

Total miles coach jog = $1.8+1.3+1.2=4.3\ miles.$

As, coach's friend jogs twice as coach.

So, to get the miles coach's friend jogs multiply total miles coach jog by 2 we get:

$Total\ miles\ coach\ jog\times 2$

$4.3\times 2\\\\=8.6\ miles.$

Therefore, coach's friend jog 8.6 miles.

4 0

3 years ago

Jaime's family is eating leftover pizza for dinner. There are 1/3 of the pizza left over. If 6 people are eating, and they all r

GarryVolchara [31]

Answer: 1/18

Split the pie into thirds. Then split the third that is being observed into six pieces. Given that the other 2/3 can hold 12 slices, each person would have 1/18.

4 0

3 years ago

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