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2 years ago

COMPLETE A TABLE OF VALUE FOR EACH EQUATIONS, THEN GRAPH.

Mathematics

1 answer:

gregori [183]2 years ago

4 0

It’s is 1)

A black kid black white white shirt with green green red black

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Simplify. Assume that no denominator is equal to zero. ([3^2]^3g^3h^4)^2

mariarad [96]

Answer:

531,441·g^6·h^8

Step-by-step explanation:

The operative rule of exponents is ...

(a^b)^c = a^(b·c)

Working from the inside out, according to the order of operations, we get ...

= (9^3·g^3·h^4)^2

= 729^2·g^(3·2)·h^(4·2)

= 531,441·g^6·h^8

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3 years ago

Evaluate the function for <br> f(x) = x + 3 and g(x) = x^2 − 2.<br> (f + g)(−8) =

Hitman42 [59]

The answer is -71. I put the -8 in place of the x, then solved.

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3 years ago

RST has vertices R(0,0), S(6,3), and 7(3,-3). R'S'T is the image of RST after adilation with center (0,0) and scale factor 1/3.

Snowcat [4.5K]

Answer:

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Step-by-step explanation:

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2 years ago

A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108

Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

$4x+L=108$

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

$V=x^2L$

If we express L in function of x using the restriction equation, we get:

$4x+L=108\\\\L=108-4x$

We replace L in the volume formula and we get

$V=x^2L=x^2*(108-4x)=-4x^3+108x^2$

To maximize the volume we derive and equal to 0

$\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18$

We can replace x to calculate L:

$L=108-4x=108-4*18=108-72=36$

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

4 0

3 years ago

Read 2 more answers

What is the solution for x in the equation 5/3 x +4=2/3 x

777dan777 [17]

Answer:

x = - 4

Step-by-step explanation:

Given

$\frac{5}{3}$ x + 4 = $\frac{2}{3}$ x

Multiply through by 3 to clear the fractions

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

7 0

3 years ago