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4 years ago

7

Evaluate the polynomial for x=-4

1 answer:

kap26 [50]4 years ago

8 0

Answer:

The answer is

<h2>1225</h2>

Step-by-step explanation:

4x² + 5 - 6x³ + 3x⁴ - x

x = - 4

Substitute the value of x into the expression

That's

4(-4)² + 5 - 6(-4)³ + 3( 4 )⁴ - - 4

Simplify

4(16) + 5 - 6( -64) + 3( 256) + 4

64 + 5 + 384 + 768 + 4

We have the final answer as

<h3>1225</h3>

Hope this helps you

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Can someone please help?

REY [17]

Answer:

(a) no

(b) -1, (2, -1)

(c) 4, (4, 7)

(d) no

Step-by-step explanation:

<h3>(a)</h3>

You can check by using x=3 in the function.

f(3) = 4(3) -9 = 12 -9 = 3 . . . . not -3

The point (3, -3) is not on the graph.

__

<h3>(b)</h3>

Put x=2 into the function and evaluate:

f(2) = 4(2) -9 = 8 -9

f(2) = -1

The point (2, -1) is on the graph.

__

<h3>(c)</h3>

Put f(x) = 7 into the equation and solve for x.

7 = 4x -9

16 = 4x

4 = x

The point (4, 7) is on the graph.

__

<h3>(d)</h3>

no, see part (b)

4 0

2 years ago

Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c.

ale4655 [162]

Answer:

c = - 2

Step-by-step explanation:

Given inverse function

$f^{-1}$ (5) = - 1 , then

f(- 1) = 5 , that is

- 2c + c(- 1) - (- 1)² = 5

- 2c - c - 1 = 5

- 3c - 1 = 5 ( add 1 to both sides )

- 3c = 6 ( divide both sides by - 3 )

c = - 2

6 0

3 years ago

Pls help me It’s urgent‼️‼️

Otrada [13]

Answer:

the answer is 3/10

I hope it may help you

7 0

3 years ago

The rate of change of the population of a small town is dPdt=kP, where P is the population, t is time in years and k is the grow

MAXImum [283]

Answer:

P = 94800 inh (town population at t = 10)

Step-by-step explanation: We get:

dP/dt = kP (1)

Population in year 2 is 30000

Population in year 4 is 40000

From equation (1)

dP/P = kdt

Then

∫ 1/P dp = k ∫dt

Ln (P) = kt + c (2)

Now we know populations in years 2 and 4 then by subtitution

Ln (40000) = 4k + c

Ln ( 30000) = 2k + c

Subtracting these equation we have

Ln (40000) - Ln ( 30000) = 2k

Then we can get k ??

ln ( 40000/30000) = 2k k = 1/2 Ln ( 4/3)

Now weareable to find population when t = 10

Equation (2)

Ln (P) = kt + c and from previous data

Ln (40000) = 4k + c

ln (P) = 10* k + c

Ln (40000) = 4k + c

The same procedure

Ln (P) - Ln ( 40000) = 6k

Ln (P) - Ln ( 40000) = 6* 1/2 Ln ( 4/3)

Ln (P) - Ln ( 40000) = 3*Ln (4/3)

Ln [ P/ 40000 ] = 3*Ln (4/3)

Eliminating Ln on both sides of the equation

P / 40000 = (4/3)³

P = 40000 * (4/3)³

P = 40000 * 2.37

P = 94800 inh (town population at t = 10)

3 0

4 years ago

What is the volume of a sphere with a diameter of 7.5 cm, rounded to the nearest tenth of a cubic centimeter?

agasfer [191]

Answer:

V≈220.89cm³

Step-by-step explanation:

8 0

3 years ago