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Paul [167]
2 years ago
12

For breakfast, Mrs. Ryan bought a cup of coffee for $2.18 and a pastry for $1.65. How much change will she get back from $5.00?

Mathematics
1 answer:
Tom [10]2 years ago
5 0

Answer:

1.17

Step-by-step explanation:

5-(2.18+1.65)

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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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5 0
1 year ago
The diameter of a circle is 16 units. <br> What is the radius of the circle?
liraira [26]

Answer:

radius = 1/2 * diameter = 1/2 * 16 = 8 units

3 0
2 years ago
The distance from home plate to left field in a model of a baseball stadium measures 16.4 in. The scale of the model to the actu
Katen [24]

Answer:

317

Step-by-step explanation:

Since the ratio is 1:232, multiply 232 by 16.4:

232*16.4=d

d=3804.8 in

Divide by 12 to find the feet

3804.8÷12=d

d=317.066

Round to the nearest foot

d=317

3 0
3 years ago
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