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jeyben [28]
3 years ago
11

If 8x−4y=20 and 4x−8y=4, what is the value of x−y?

Mathematics
1 answer:
____ [38]3 years ago
5 0

Answer:

Step-by-step explanation:

Solve the system:

8x−4y=20

4x−8y=4

Reduce the first equation by dividing every term by -2:

-4x + 2y = -10

and then combine this result with the second equation:

4x−8y=4

-4x + 2y = -10

--------------------

      -6y = -6, and so y = 1.  

According to the first equation, if y = 1, then 4x - 8 = 4, or x = 3.

Then x = 3 and y = 1.

So, finally, x - y = 3 - 1 = 2

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Answer:

x

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2

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0
2 years ago
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Find the product of 50×28
barxatty [35]
50 times 28, you will get 1400.

If trying to mental calculate, I would :
28=20+8
50 times 20 = 1000
50 times 8 = 400
Then add them up to 1400.
8 0
3 years ago
Which of the following function types exhibit the end behavior (PICTURE INCLUDED)
Nostrana [21]

Answer:

y=x^n; n is even and greater than zero.

The absolute value function y=|x|

Step-by-step explanation:

The power function;

y=x^n; n is even and greater than zero, is symmetric with respect to the positive y-axis.

As x\rightarrow \infty,f(x)\rightarrow \infty and as x\rightarrow -\infty,f(x)\rightarrow \infty

The absolute value function y=|x| also has the same end behavior.

The remaining functions in the options provided do not exhibit this end behavior.

See graph in attachment.

4 0
3 years ago
An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A
nadya68 [22]

Answer:

0.0045248 ;

0.1312218 ;

0.0001809 ;

0.1659729

Step-by-step explanation:

Number of Kings in deck = 4

Total number of cards in deck = 52

Picking without replacement :

A = King on first draw :

P(A) = 4 / 52

A = King on 2nd draw :

P(B) = 3 / 51

A = King on 3rd draw :

P(C) = 2 / 50

1.) P(A n B) = P(A) * P(B)

P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248

2.) P(A u B) = P(A) + P(B) - P(AnB)

P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218

3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)

P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809

4.) P(A U B U C) =

P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)

P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769

P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529

4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729

6 0
3 years ago
4 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another
lord [1]

Answer:

m∠CEB = 45°

Step-by-step explanation:

8 0
3 years ago
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