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slega [8]
3 years ago
10

A 10ft by 10ft square garden contains a large walking path through the diagonal. What is the area of the walking path shown in t

he gray below?
Mathematics
1 answer:
SpyIntel [72]3 years ago
6 0
64fts^2 is the answer
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Can you help I have tried 4 times
Anna35 [415]
2 ounces per month. 320 divided by 16 (that’s how many ounces are in a pound) divided by 12 (that’s how many months are in a year)
6 0
3 years ago
Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertice
alukav5142 [94]

f(x,y)=2x^2-8x+y^2-8y+2

f_x(x,y)=4x-8=0\implies x=2

f_y(x,y)=2y-8=0\implies y=4

There is one critical point at (2, 4), but this point happens to fall on one of the boundaries of the region. We'll get to that point in a moment.

Along the boundary x=0, we have

f(0,y)=y^2-8y+2=(y-4)^2-14

which attains a maximum value of

f(0,4)=-14

Along y=44, we have

f(x,44)=2x^2-8x+1586=2(x-2)^2+1578

which attains a maximum of

f(2,44)=1578

Along y=2x, we have

f(x,2x)=6x^2-24x+2=6(x-2)^2-22

which attains a maximum of

f(2,4)=-22

So over the given region, the absolute maximum of f(x,y) is 1578 at (2, 44).

8 0
3 years ago
Shoe sales for a certain company were $25.9 billion. Sales are expected to increase by 20% in the next year. Find the projected
ololo11 [35]
I believe the projected amount is 129.5 billion.
7 0
3 years ago
What is the equation for g, which is f(x) = 2x2 + 3x − 1 reflected across the y-axis? Group of answer choices g(x) = −2x2 − 3x −
Sergio [31]

Answer:

g(x) = 2x^2 - 3x - 1

Step-by-step explanation:

Given

f(x) = 2x^2 + 3x - 1

Required

Determine g(x), if f(x) is reflected across the y axis

<em>When a function (x,y) is reflected across the y axis, the new function becomes (−x,y).</em>

<em />

In other words,

g(x) =  f(-x)

Calculating f(-x)

f(-x) = 2(-x)^2 + 3(-x) - 1

f(-x) = 2x^2 - 3x - 1

Substitute g(x) for f(-x)

g(x) = 2x^2 - 3x - 1

<em>Hence;</em>

g(x) = 2x^2 - 3x - 1

7 0
3 years ago
What is the reciprocal of 0.125
lesya692 [45]
1/0.125
I really hope this helps
6 0
3 years ago
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