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2 years ago

Observe the Function Below. f(x) = -8x2 + 7x3 + 2x – 5 Is the function a polynomial?

Mathematics

1 answer:

marshall27 [118]2 years ago

4 0

Answer:

Step-by-step explanation:

f(x) = -8x² + 7x³ + 2x - 5

= 7x³ - 8x² + 2x - 5 This meets the definition of a polynomial

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Evaluate 5(x - 1) - 2 when x = 3

Elan Coil [88]

Answer:

Step-by-step explanation:

Given algebraic expression:

5(x - 1) - 2

To:

Evaluate this expression using x = 3

Solution:

5(x - 1) - 2

Evaluate by plugging x = 3 to this expression:

5(3-1)-2

Simplify using PEMDAS.

5(2)-2
10-2
8

<u>We can conclude:</u>

By evaluating x = 3 to the given expression,the answer will be 8.

4 0

1 year ago

Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.

Romashka-Z-Leto [24]

Answer:

The solution to the system of the equations will be:

$x=3,\:y=1$

Step-by-step explanation:

Given the system of the equations

$x+y=4$

$x-y=2$

solving the system of the equations

$\begin{bmatrix}x+y=4\\ x-y=2\end{bmatrix}$

$x-y=2$

$-$

$\underline{x+y=4}$

$-2y=-2$

solving

$-2y=-2$

Divide both sides by -2

$\frac{-2y}{-2}=\frac{-2}{-2}$

$y=1$

$\mathrm{For\:}x+y=4\mathrm{\:plug\:in\:}y=1$

$x+1=4$

$x=3$

Therefore, the solution to the system of the equations will be:

$x=3,\:y=1$

5 0

2 years ago

What is 4N? I am very confused

alexdok [17]

Answer:

Step-by-step explanation:

8 0

2 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

2 years ago

Which is the graph of f(x) = 4^x?

creativ13 [48]

Answer:

the first graph!!

5 0

3 years ago

Read 2 more answers

Observe the Function Below. f(x) = -8x2 + 7x3 + 2x – 5 Is the function a polynomial?​

Observe the Function Below. f(x) = -8x2 + 7x3 + 2x – 5 Is the function a polynomial?