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Lady_Fox [76]
2 years ago
6

Shelby is decorating a rectangular ballroom ceiling with garland. Beginning in a corner, Shelby strings garland along length of

the ceiling, a distance of 18 meters. Next, Shelby strings garland along the width of the ceiling, a distance of 80 meters. Then Shelby strings the garland straight back to the original corner. At this point, how much garland has Shelby used?
Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
3 0

Answer:

since the room is rectangular and has 4 sides

2 sides have the same length

18*2= 36m

80*2=160m

then add the sums...

the answer is 196 meters

Step-by-step explanation:

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Read 2 more answers
The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl
ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

  • A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since f(x) = 5x^{2} -70x+258.

Now, consider the equation 5x^{2} -70x+258= 0.

Dividing the above equation by 5, we get

x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0

Now, we have to determine the minimum cost to produce the product.

Since f(x) = 5x^{2} -70x+258.

f'(x) = 10x-70

Now, let f'(x)=0

10x-70=0\\10x=70

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

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