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stich3 [128]
3 years ago
13

The profit function, y, for selling x shirts is given by the equation y=-0.1x^2+10x. What is the maximum value of the profit, y?

Mathematics
1 answer:
Alex73 [517]3 years ago
8 0
2 ways
1 calcluls
2. algebra

calculus, just take the deritivive and find wher it is 0
y=-0.2x+10
at x=50
sub 50 for x in original
y=250


algebra
for
y=a(x-h)²+k
(h,k) is vertex
k is maximum value


complete the square
y=(-0.1x²+10x)
y=-0.1(x²-100x)
take 1/2 of -100 and square it and add negative and positive inside
-100/2=-50, (-50)²=2500
y=-0.1(x²-100x+2500-2500)
factor perfect square
y=-0.1((x-50)²-2500)
exand
y=-0.1(x-50)²+250

vertex at (50,250)
producing 50 units yeilds a sale price of $250


max price is $250
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4 years ago
Ow is the product of 3 and –2 shown using integer tiles?
PIT_PIT [208]

The correct answer is option C which is 3 sets of 2 negative tiles.

<h3>What is multiplication?</h3>

Multiplication is the process of determining the product of two or more numbers in mathematics.

We have the product of 3 and -2. We can represent this as 3 is equivalent to -2 negative tiles.

When we add -2 three times -2 - 2 -2 = -6 we will get -6 that is 3 sets of 2 negative tiles.

So when we multiply it by 3, we end with 3 sets of 2 negative tiles. This is because the order of the factors does not change the product.

Therefore the correct answer is option C which is 3 sets of 2 negative tiles.

To know more about multiplication follow

brainly.com/question/10873737

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2 years ago
Select the correct answer. Which graph represents this inequality? 3x+y&lt;1​
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3 years ago
Read 2 more answers
The cost for each car entering President George Bush Turnpike at Beltline road is $0.75. The equation that represents this relat
vesna_86 [32]

From the definition of a function, a function associates every element of the domain to a unique element in the codomain.

In other words, if two elements are equal in the domain, then their images should also be equal.

Since, x represents the number of cars, we consider the universal set as N, the set of all natural numbers.

Let x, y ∈ N and x = y

Then, 0.75x = 0.75y

⇒ f(x) = f(y)

Therefore, images are equal, whenever elements are equal.

Hence, the function f(x) = 0.75x is a function. Also, note that the domain of the function is the set of all natural numbers and the range is the set of real numbers.


8 0
3 years ago
What is the median of this set of data 62,74,67,72,63,70,78,76
Gelneren [198K]

Answer: 71

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

We have 62, 63, 67, 70, 72, 74, 76, 78.

In this set however, notice that there is no 1 middle number.

In this situation, we add the two number that are in the middle and multiply the sum by 1/2. So we have 70 + 72 which is 142.

So we have 142 · 1/2 which simplifies to 71.

So the median is 71.

4 0
3 years ago
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