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Marat540 [252]
2 years ago
8

Find the domain of the ration function R(x)=7-2x/x^3-8x^2+7x

Mathematics
1 answer:
Luden [163]2 years ago
7 0

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\}}

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nasty-shy [4]

Answer:

Randy had 13 books an Sandy had 7 books.

Step-by-step explanation:

20 - 3 = 17

30 - 17 = 13

13 x 2 = 26

26 + 4 = 30

13 + 7 = 20

Hope this helps! Please mark as brainliest.

3 0
3 years ago
sally needs $20,000 in 4years. she has $10,000 to invest. if interest is compounded continuously, what rate is required for Sall
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7 0
2 years ago
Suppose y = sqrt 2x+1, where x and y are functions of t.
frutty [35]

If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives

dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt

(a) If dx/dt = 9 and x = 4, then

dy/dt = 1/√(2•4 + 1) • 9

dy/dt = 1/√(8 + 1) • 9

dy/dt = 1/√9 • 9

dy/dt = 9/3

dy/dt = 3

(b) If dy/dt = 3 and x = 40, then

3 = 1/√(2•40 + 1) • dx/dt

3 = 1/√(80 + 1) • dx/dt

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5 0
2 years ago
What the fact family for 4,6,10 I got b 10-6=4 10-4=6 4+6=10 6+4=10 what your answer​
tensa zangetsu [6.8K]

Answer:

B

Step-by-step explanation:

These numbers form an addition and subtraction, fact family.

4, 6, 10

Choose the fact family formed by these numbers.

A.

10 – 6 = 4

10 – 6 = 4

4 + 6 = 10

4 + 6 = 10

B.

10 – 6 = 4

10 – 4 = 6

4 + 6 = 10

6 + 4 = 10

C.

4 + 6 = 10

10 – 6 = 4

D.

6 + 4 = 10

10 – 4 = 6

4 0
2 years ago
David’s family is driving from New York to Florida. They know the distance they will travel is about 1100 miles. If a map has a
zaharov [31]

Answer:

Step-by-step explanation:

do the proportion ...

1 inch/ 80 miles =x inch/ 1100 miles

1100= 80x

x=1100/80=13.75

The trip would be about 13.75 inches on the map

hope this will help u

3 0
3 years ago
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