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2 years ago

How do you do f(x)=12x+3 2units leftg(x)=please help I'm confused

Mathematics

1 answer:

Mkey [24]2 years ago

7 0

Answer:

g(x) = 12x + 27

Step-by-step explanation:

Take a point in the f(x).

f(0) = 12(0) + 3

f(0) = 3

A point on f(x) is (0,3).

Move the point 2 units left. It will make the x-coordinate decrease by 2.

0 - 2 = -2

A point on g(x) is (-2,3).

Substitute the point and the same slope into the equation of a line. The slope did not change.

y = mx + b

3 = 12(-2) + b

3 = -24 + b

b = 3 + 24

b = 27

Rewrite g(x) using b = 27 and the same slope, m = 12.

g(x) = 12x + 27

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2 years ago

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1 year 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:

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

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3 years ago

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ANEK [815]

area of square = 9 x 9 = 81 square feet

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4.5 * 4 = 18 square feet total of all 4 corners

81 - 18 = 63 square feet total not covered by benches.

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3 years ago

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Bowl A contains 6 apples and 3 mangoes this can be written as, Bowl B contain 8 apples and 2 mangoes this can be written as. Wha

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Answer:

Bowl B contains 2 apples more than Bowl A and Bowl A contains 1 mango more than Bowl B.

Step-by-step explanation:

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2 years ago

How do you do f(x)=12x+3 2units leftg(x)=please help I'm confused ​

How do you do f(x)=12x+3 2units leftg(x)=please help I'm confused