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3 years ago

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Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

305 calories, 120 from fat

Step-by-step explanation:

The ratio of the area of the larger pizza to that of the smaller pizza is the square of the ratio of the diameters. So, the larger pizza has an area that is ...

(12/6)² = 4

times that of the smaller pizza. When that area is divided into 8 parts, each part has an area that is 4/8 = 1/2 the area of the smaller pizza.

We expect a slice of the larger pizza to have 1/2 the calories of a smaller pizza, so 305 calories, 120 from fat.

610/2 = 305; 240/2 = 120.

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Beginning with the graph of f(x) = x2, what transformations are needed to form g of x equals one third times the quantity x plus

laila [671]

To transform f(x) into g(x) we need to use addition, subtraction and multiplication.

Given f(x)= $x^{2}$ and g(x)= $x/3+3(x^{2} -3)$

We need to transform function f(x)into g(x).

A function refers to a relation which expresses relationship between two variables. It contains one value for each value of x. If there are more than one value for one value of x then it is not said to be a function.

f(x)= $x^{2}$ , g(x)= $x/3+3(x^{2} -3)$

To transform f(x) into g(x) we need to follow the following steps:

First subtract 3 from f(x).
Then multiply the expression received from above step by 3.
Next step is to add x/3 to the expression received from the above step.
Now we will get the g(x)= $x/3+3(x^{2} -3)$ .

Hence we have to use addition, subtraction and multiplication for transformation.

Learn more about function at brainly.com/question/10439235

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2 years ago

How do I find out if this is an infinite solution 4(x-2) + 7 = 4x - 1

damaskus [11]

Answer:

x = all real numbers, infinite solutions

Step-by-step explanation:

4(x-2) + 7 = 4x - 1

Distribute

4x -8+7 = 4x-1

Combine like terms

4x -1 = 4x-1

Subtract 4x from each side

4x-1 -4x = 4x-1-4x

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This is always true so there are infinite solutions for x

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3 years ago

Each week, Mr Smith must make copies for his history class. When he uses both the Xerox and the Hewlett packard copiers, the cop

Pachacha [2.7K]

Answer:

The job will take 75 minutes if the Hewlett Packard copier is broken

Step-by-step explanation:

In this question, we are tasked with calculating the amount of time it will the Xerox copier to finish making the copies whilst working alone

First, let the number of copies to make be x

Thus, the rate at which both copiers deliver when working together is x/30 copies per minute

If the Hewlett Packard is working alone, its rate is x/50 copies per minute

Let the time taken for the Xerox copier to complete its work be y minutes. Its working rate is thus x/y copies per minute

When we add the individual working rates, we have the joint working rate.

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x/50 + x/y = x/30

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1/50 + 1/y = 1/30

1/y = 1/30 - 1/50

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1/y = 20/1500

20y = 1500

y = 1500/20

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