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3 years ago

A flower garden has been designed with an L-shaped walkway and viewing area around two sides as shown.

Mathematics

1 answer:

nikdorinn [45]3 years ago

8 0

Answer:

c. 2.4 yards

Step-by-step explanation:

If x is the width of the walkway, then the total landscape area is ...

(4.5 +x)(7.5 +x) = 68.31

This quadratic equation can be rearranged to standard form and solved in any of the usual ways.

(x +4.5)(x +7.5) -68.31 = 0

x² +12x -34.56 = 0

Using the quadratic formula, we have ...

x = (-12 ±√(12² -4(1)(-34.56)))/2 = -6 ± √70.56 = -6 ± 8.4

The positive solution is x = 2.4.

The width of the walkway is 2.4 yards.

_____

A graphing calculator or spreadsheet solver can also find the solution for you.

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3 years ago

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4 years ago

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Step-by-step explanation:

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3 years ago

Find f(t – 3) for f(x) = 4x^2 – 8x + 4.

Vladimir79 [104]

Answer:

Step-by-step explanation:

Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:

f(t - 3) = 4(t - 3)² - 8(t - 3) + 4

<em>use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac</em>

f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4

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3 years ago