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Doss [256]
3 years ago
13

Brainliest 5 stars and worth 20 points, give me correct answers!!!

Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

  • x² + x + 1 + 2/(x - 1)

Step-by-step explanation:

  • (x³ + 1) / (x - 1) =
  • (x³ - 1 + 2) / (x - 1) =
  • (x³ - 1)/(x - 1) + 2/(x - 1) =
  • (x - 1)(x² + x + 1)/(x - 1) + 2/(x - 1) =
  • x² + x + 1 + 2/(x - 1)
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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star
ANEK [815]

Answer:

9.2\ \text{m}

Step-by-step explanation:

b = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt

Integrating from t=0 to t=3

V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24

Volume of water remaining in the tank is 70-24=46\ \text{m}^3

Suface area of base \times depth = Volume

5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}

The depth of the water remaining in the tank is 9.2\ \text{m}.

3 0
3 years ago
All factors of x cubed minus 6x squared plus 11x minus 6
miv72 [106K]

Answer:

Step-by-step explanation:

x³-6x²+11x-6

put x=1

1³-6×1²+11×1-6=1-6=11-6=0

by synthetic division

1| 1 -6  11   -6

|     1  -5    6

|----------------

| 1  -5  6 |0

x²-5x+6=0

x²-2x-3x+6=0

x(x-2)-3(x-2)=0

(x-2)(x-3)=0

x=1

x-1=0

so x³-6x²+11x-6=(x-1)(x-2)(x-3)

6 0
3 years ago
What is the value of x? x = <br><br> What is the perimeter of ΔABC?
Kryger [21]

Answer: find the third value when two values

The perimeter of ΔABC is 13 cm

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is a equation for line with a slope o 2/3 and a y-intercept of (0,0)
Lerok [7]

Answer:

y= 2/3 x

Step-by-step explanation:

point slope form

y-y1 = m(x-x1)

y-0 = 2/3 (x-0)

y = 2/3(x)

y= 2/3 x


3 0
3 years ago
Help leave in simplest radical form
BabaBlast [244]

Answer:

√23 is the answer of the question

4 0
3 years ago
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