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hram777 [196]
2 years ago
9

Now, evaluate f (x) = 2x4 – 4x3 – 11x2 + 3x – 6 for x = –2. f (–2) =

Mathematics
2 answers:
Kipish [7]2 years ago
7 0

Answer:

8

Step-by-step explanation:

f(- 2) =  8

f(-2) = 2 (-2) ^ 4 - 4 (- 2) ^ 3 - 11 (- 2) ^ 2 + 3*(- 2) - 6 = 2 * 16 + 32 - 44 - 6 - 6 = 8

Therefore the value of f(x) is 8 at x = - 2

lorasvet [3.4K]2 years ago
3 0

Answer:

f(- 2) =  8

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 2(-2)^{4} - 4(- 2)³ - 11(- 2)² +3(- 2) - 6

       = 2(16) - 4(- 8) - 11(4) - 6 - 6

      = 32 + 32 - 44 - 12

      = 64 - 56

      = 8

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Answer:

  (b)  60°

Step-by-step explanation:

The sum of angles in a pentagon is 540°, so you have ...

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3 years ago
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andrey2020 [161]

Answer:

Step-by-step explanation:

7 0
3 years ago
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Whats the answer to 3+2h=7
Brut [27]

Greetings! Hope this helps!

Answer

3 + 2h = 7

-3           -3

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3 years ago
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A circular swimming pool has a diameter of 40 meters. The depth of the pool is constant along west-east lines and increases line
Nataliya [291]

Answer:

Volume is 2000\pi\ m^{3}

Solution:

As per the question:

Diameter, d = 40 m

Radius, r = 20 m

Now,

From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:

iff

h(y) = cy + d

Then

when y = 1 m

h(- 20) = 1 m

1 = c.(- 20) + d = - 20c + d              (1)

when y = 9 m

h(20) = 9 m

9 = c.20 + d = 20c + d                  (2)

Adding eqn (1) and (2)

d = 5 m

Using d = 5 in eqn (2), we get:

c = \frac{1}{5}

Therefore,

h(y) = \frac{1}{5}y + 5

Now, the Volume of the pool is given by:

V = \int h(y)dA

where

A = r\theta

A = rdr\ d\theta

Thus

V = \int (\frac{1}{5}y + 5)dA

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}rsin\theta + 5) rdr\ d\theta

V = \int_{0}^{2\pi}\int_{0}^{20} (\frac{1}{5}r^{2}sin\theta + 5r}) dr\ d\theta

V = \int_{0}^{2\pi} (\frac{1}{15}20^{3}sin\theta + 1000) d\theta

V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}

V = 0 + 2\pi \times 1000 = 2000\pi\ m^{3}

7 0
3 years ago
X+1/3y=4 in slope intercept form EXPLAIN
skad [1K]

Answer:

Y = 12

Step-by-step explanation:

x + 1/3y = 4

Multiply both sides of the equation by 3.

3  ⋅  1 3  ⋅  y  =  3  ⋅  4

Simplify both sides of the equation:

1. Simplify both sides of the equation.

2. Multiply 3 by 4

How to simplify:

Cancel the common factor of 3

Rewrite the expression.

Multiply by 1

y  =  3  ⋅  4

Multiply 3 by 4

(12)

7 0
3 years ago
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