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exis [7]
3 years ago
8

A rectangular piece of cardboard that is 7 inches by 20 inches has squares of length x inches on a side cut from each corner.

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

The remaining area in the form of a polynomial function A(x)= 140-4x^2where  0 < x < 3.

Step-by-step explanation:

Breadth of rectangular piece of cardboard = 7 inches

Length of rectangular piece of cardboard = 20 inches

Area of cardboard = Length \times Breadth

Area of cardboard = 20 \times 7

Area of cardboard =140 in^2

Squares of length x inches on a side cut from each corner.

Length of square = x

Area of 1 square = Side^2 = x^2

Area of 4 squares = 4x^2

Area of remaining portion A(x)= 140-4x^2

So, the remaining area in the form of a polynomial function A(x)= 140-4x^2where  0 < x < 3.

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arsen [322]

The value of x is 36.

Solution:

Given angles of a triangle are 2x°, 2x° and x°.

To find the value of x:

<em>Sum of the all the angles of a triangle = 180°</em>

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3 0
3 years ago
Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
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it resembles a staircase when graphed

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romanna [79]
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5 0
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What is 9x6+(5x7+4x3)63x8
irina [24]

Solution:

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Answer:

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<em>Hope this was helpful.</em>

8 0
3 years ago
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