I need the answer to this . thanks if someone can help me .

Find the solution of this system of equations.

vagabundo [1.1K]

I'm going to use the substitution method.

4x + 4y = -16
-8x - 6y = -20

4x + 4y = -16
- 4x - 4x
--------------------------
4y = -4x - 16
------ ------ ------
4 4 4

y = -x - 4

-8x - 6(-x - 4) = -20
-8x + 6x + 24 = -20
-2x + 24 = -20
- 24 - 24
----------------------------
-2x = 44
------- -------
2 2

x = 22

4(22) + 4y = -16
88 + 4y = -16
- 88 - 88
------------------------
4y = -104
------ ---------
4 4

y = -26

The answer is (22, -26).

4 0

3 years ago

A person in a casino decides to play 3 games of blackjack. let w denote a win and l denote a loss. define the event a as "the pe

Ann [662]

Answer: The answer is {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.

Step-by-step explanation: Given that a person in the casino is going to play 3 games of blackjack. Here, 'w' denotes a win and 'l' denotes a loss.

Also, let 'A' be the event that the person wins at least one game of blackjack. Then, the outcomes of Event 'A' are

(i) win in 1st game loss in 2nd game loss in 3rd game

(ii) win in 1st game win in 2nd game loss in 3rd game

(iii) win in 1st game loss in 2nd game win in 3rd game

(iv) win in 1st game win in 2nd game win in 3rd game

(v) loss in 1st game loss in 2nd game win in 3rd game

(vi) loss in 1st game win in 2nd game loss in 3rd game

(vii) loss in 1st game win in 2nd game win in 3rd game

Thus, the outcomes of the event A are (w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l) and (l, w, w).

Thus, A = {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.

5 0

3 years ago

Alan is connecting three garden hoses to make one longer hose.The green hose is 6.25 feel long the orange hose is 5.755 feet lon

nevsk [136]

We will use addition to find the length of the new, longer hose.

6.25 feet + 5.755 feet + 6.5 feet = 18.505 feet is the length of the new longer hose.

8 0

3 years ago

Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know ho

Eva8 [605]

Answer:666 hours

Step-by-step explanation: The reason is that if you turn the problem into an equation it would be h=Lx. h= hours. L=how long the log lasts and x=how many logs. So when you plug in the numbers you get 101010=L*151515. So we need to find L. What you do is you divide both sides by 151515 since it is the opposite of multiplication. 151515/151515 gets crossed out and 101010/151515 is .6666666666666 irrational. So the equation now looks like .666666 irrational=L. So .66666 irrational is your L. Know you plug .666666 irrational into your original equation. Which is now h=.6666 irrational*x. So to find how long the fire keeps on burning with 999 logs you just plug 999 into x and now your equation looks like this h=.6666 irrational*999. If you multiply .6666 irrational by 999 your final answer is 666.

8 0

3 years ago

I think its C, not sure

Alona [7]

Yes; you are correct.
___________________________________________________
The correct answer is:
___________________________________________________
Answer choice: [C]: " x³ − 9x² + 23x − 12 " .
___________________________________________________
Note: (a − b) (c − d + e) = ac − ad + ae − bc + bd − be ;
___________________________________________________
(x − 4) (x² − 5x + 3) =

x * x² = x³ −

x * 5x = 5x² +

x * 3 = 3x −

4 * x² = 4x² −

-4 * 5x = -20x +

-4 * 3 = -12;
________________________________________
 (x − 4) (x² − 5x + 3) =

x³ − 5x² + 3x −4x² − (-20x) + (-12) ;

= x³ − 5x² + 3x −4x² + 20x − 12 ;

= x³ − 5x² − 4x² + 3x + 20x − 12 ;

= x³ − 9x² + 23x − 12 ; which is:
__________________________________________________
Answer choice: [C]: " x³ − 9x² + 23x − 12 " .
__________________________________________________

7 0

3 years ago