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1 year ago

F(x)=3x^4-2x^3-12x^2-x; k=4

Mathematics

1 answer:

MArishka [77]1 year ago

6 0

Answer:

444

Step-by-step explanation:

Find F * k given F(x) = 3x^4 - 2x^3 - 12x^2-x, k = 4

F * k = F( ( k ) ( x ) )

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Which statement correctly describes the relationship between △JKL and △J′K′L′?

lana66690 [7]

Answer:

The is answer is the last one.

Step-by-step explanation:

I just took the test

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3 years ago

A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.

Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

f(x,y,z)= xy+2xz+2yz.....(1)

Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

$\Rightarrow z=\frac{19652}{xy}$ ......(2)

putting the value of z in the equation (1)

$f(x,y)=xy+2x(\frac{19652}{xy})+2y(\frac{19652}{xy})$

$\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}$

The partial derivatives are

$f_x=y-\frac{39304}{x^2}$

$f_y=x-\frac{39304}{y^2}$

To find the dimension of the box set the partial derivatives $f_x=0$ and $f_y=0$ .Therefore $y-\frac{39304}{x^2}=0$

$\Rightarrow y=\frac{39304}{x^2}$ .......(3)

and $x-\frac{39304}{y^2}=0$

$\Rightarrow x=\frac{39304}{y^2}$ .......(4)

Now putting the x in equation (3)

$y =\frac {39304}{(\frac{39304}{y^2})^2}$

$\Rightarrow y=\frac{y^4}{39304}$

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⇒y=34 cm

Then $\Rightarrow x=\frac{39304}{34^2}$ =34 cm.

Putting the value of x and y in the equation (2)

$z=\frac{19652}{34 \times 24}$

=17 cm.

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

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3 years ago

Can someone solve 5x − 7 = 13 step by step

RUDIKE [14]

Answer:

x=4

Step-by-step explanation:

5x-7=13

5x=13+7

5x=20

x=20/5

x=4

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2 years ago

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The ordered pair (x+2,y-3) indicates a translation which moves the pre image

yarga [219]

I think it's the first one. Two units right and three units down.

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3 years ago

Jenny and her friends are hungry for dessert. They buy $12.25 worth of cookies and ice cream sandwiches. The ice cream sandwiche

Phoenix [80]

If the number of ice cream sandwiches is x

And the number of cookies is y

Then

1.75x + 0.75y = 12.25

and

x + y = 11
y = 11 - x

1.75x + 0.75 (11 - x) = 12.25
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x + 8.25 = 12.25
x = 12.25 - 8.25
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if x = 4

4 + y = 11
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x = 4, y = 7

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3 years ago