MATHEMATICS HIGH SCHOOL

Simultaneous equations
4x + 7y= 1
3x +10y=15

Answers

Answer 1
Answer: (-3)×  (4x+7y=1)                    -12x-21y=-3                  
   4×  (3x+10y=15)                  12x+40y=60      ⇒      (x s cancel out) 

-21y=-3
40y=60        ⇒19y-57
                    y=3
for find the x plug in the 3  to the y one of these two equations and solve for the x

12x+40(3)=60
12x=-60
x=5                  HOPE IT HELPS:)
Answer 2
Answer: We are going to be adding the two equations and want to cancel something out to isolate the other.
Let's cancel out the x term first
Multiply the first equation by -3 and the second equation by 4
-3(4x+7y)=-3(1) => -12x-21y=-3
4(3x+10y)=4(15) => 12x+40y=60
Add the two equations and the x terms cancel out, leaving 19y=57
y=57/9=3
Substitute that into the second equation and you get
3x+10(3)=15
3x+30=15
3x=-15
X=-15/3=-5
Final answer:
x=-5
y=3

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Writ an equation of a parabola that has a vertex (1,3) and passes through the point (2,5)

Answers

Answer:

y=2x+1

Step-by-step explanation:
This is what I got hope it helps

De un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?

Answers

Answer:

2

Step-by-step explanation:

el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2

Answer: 2

Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2    Espero que ayude Ten un día maravilloso :)

G plus 6 is 10 what is g

Answers

Answer:

4 is the answer lol. if u are a gi see my questions

Answer:

the g is 4 ok hope it helps. see comments

Three of the thirty computers are out of service (not working). What percent are working?

Answers

Answer:

Percentage of computers working equals:

90%

Step-by-step explanation:

Three of the thirty computers are out of service.

Number of computers working=30-3=27

Total computers=30

Percentage of working computers=

                                                       =  

                                                       = 90%

Hence, Percentage of computers working is:

90%

Answer :

90%

Step-by-step explanation:

3/30 = 10% and the remaining percent is 90%

Suppose S and T are mutually exclusive events. Find P(S or T). P(S) = 20%, P(T) = 22%

Answers

S and P are mutually exclusive events.
P ( S ) = 20% = 0.20
P ( T ) = 22 % = 0.22
The probability of mutually exclusive events:
P ( S or T ) = P ( S ) + P ( T )
P ( S or T ) = 0.20 +0.22 = 0.42
Answer: The probability of ( S or T ) is 0.42 or 42 %. 

The probability of event S or event T is  42%.

What is the probability of event S or event T?

Mutually exclusive events are independent events. Independents events are events whose occurrence do not depend on each other.

The probability of event S or event T = 20 + 22 = 42%

To learn more about mutually exclusive events, please check: brainly.com/question/13075229

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in one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether, they hit 18 home runs. how many home runs did each player hit that season?

Answers

Let Peter's hit be x and Alice's runs be y.
x = 2(y - 6) . . . (1)
x + y = 18 . . . (2)

Putting (1) into (2) gives,
2y - 12 + y = 18
3y = 18 + 12 = 30
y = 30/3 = 10
x = 2(10 - 6) = 2(4) = 8

Therefore, Peter hit 8 home runs and Alice hit 10 home runs.
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