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1 year ago

Solve for all values of y in simplest form. ∣y−12∣=16

Mathematics

1 answer:

Reil [10]1 year ago

5 0

Answer:

$y=-4; y=28$

Step-by-step explanation:

The way I like to think about it, with absolute value meaning the distance is

"find which number are 16 apart from 12". Which means 28 (to the right) or -4 (to the left).

More formally, applying the definition of absolute value,

$|y-12|=16 \leftrightarrow y-12=\pm16\\y-12=-16 \rightarrow y=-4\\y-12=+16 \rightarrow y=28$

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Use De Morgan's laws to write an equivalent statement for the sentence. The bus does not have an engine or the people do not hav

DanielleElmas [232]

Answer:

A. It is false that the bus has an engine and the people have money.

Step-by-step explanation:

Given statement is -

The bus does not have an engine or the people do not have money.

The De Morgan's laws states that the complement of the union of two given sets is the intersection of their complements.

Also, the complement of the intersection of these two sets is the union of their complements.

negative (p ∨ q)⇔ p ∧ negative q

So, here option A is correct. It is false that the bus has an engine and the people have money.

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3 years ago

What is the equation of a circle with the center (2,3) that passes through the point (5,3)

Aliun [14]

Answer:

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Step-by-step explanation:

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3 years ago

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irakobra [83]

Answer:

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Step-by-step explanation:

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2 years ago

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The Ramos family wants to buy a Play Station 4 for $299.00, along with accessories and games. A wireless controller costs $44.99

Lilit [14]

Answer:

Part A: 299 + 45A + 30B + 50c

Part B: 569 (or 570 if you round it up)

Step-by-step explanation:

Part A:

Because there is no variable for the number of PlayStation 4s, let's assume that there is only one. That will be 299.

If A is the number of wireless controllers and each wireless controller is worth 45 dollars each, the price for the wireless controller(s) is 45A.

If B is the number of wireless controller charging stations and each wireless controller charging station cost 30 dollars, then the price of the wireless controller charging station(s) is 30B

If C is the number of games and each game cost 50 dollars, then the price of the game(s) is 50C

Put that all together, and we get 299 + 45A + 30B + 50c.

Part B:

Let's plug the numbers into the formula.

A = 2

B = 1

C = 3

$299 + 45A + 30B + 50c = 299 + 90 + 30 + 150 = 569\ dollars$

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2 years ago

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Masteriza [31]

Answer:

The graph passes through the point (0,1)

The domain is all real numbers.

The range is y>0.

The graph is decreasing.

The graph is asymptotic to the x-axis as x approaches positive infinity.

(These are just some of them by the way)

Step-by-step explanation:

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2 years ago