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nikdorinn [45]
3 years ago
11

Which of the following functions is graphed below

Mathematics
1 answer:
Gnoma [55]3 years ago
4 0

Remark

A function is defined as 1 y value per x value. The y values can be the same for 2 x values, but the x values must have just 1 value associated with it. I am describing a vertical line test for a function. This is a function.

A 1 to 1 function means that the function obeys the horizontal line test. That means that for every x there is only 1 y value.

A

This graph is both a function and a 1 to 1 function. So the answer is A.

None of the other answers are this complete and one of them is wrong.

B

B is wrong. It is a 1 to 1 function.

C

C is wrong. The graph is a function.

D

D is wrong. No y values are duplicated.

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2 years ago
adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

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520*.04=20.8, or closer to 21 spam emails.
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3 years ago
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