MATHEMATICS HIGH SCHOOL

Y = –x + 4
x + 2y = –8
How many solutions does this linear system have?

Answers

Answer 1
Answer: y = - x + 4
x + 2 ( -x + 4 )=-8
x- 2 x + 8 = -8
- x = - 8 - 8 
- x = - 16
x = 16
y = - 16 + 4
y = - 12
The system has one solution ( x, y ) = ( 16, - 12 ).
Answer 2
Answer:

Answer:

Step-by-step explanation:

Y = –x + 4

x + 2y = –8

How many solutions does this linear system have

one solution: (8, 0)

one solution: (0, 8)

no solution

infinite number of solutions

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It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 350,000 cans one year, how many cans are still in use after 4 years of recycling and re-using, using this function? Nt = 350,000(0.52)t

Answers

The answer to the question above is calculated by substituting 4 to variable t of the given function. 
                                       Nt = 350,000(0.52)(4)

The substituted function gives an answer of 728,000. Therefore, with the given condition of recycling, about 728, 000 cans can still be used. 

Answer

Step-by-step explanation:

What's (5xty)-(4x-9)??? And what's 33.7y+8.4-2.04y??? And 4.2x+8.1x+1.8x-2.1x??? And x+2(x-y)???

Answers

You're first problem is unclear as I am not sure if that t was suppose to be there or not. 

but as for the second one (33.7y+8.4-2.04y)  we would first have to combine like terms so you'd subtract 2.04y from 33.7y , which would give you ; 33.66y so now your answer would be " 33.66y + 8.4 ", 
there's nothing more you can do because they're seperate terms c: . 

Your third problem ( 4.2x+8.1x+1.8x-2.1x ) is also combining like terms. Add the first 3 terms and that'll give you 14.1x , now subtract 2.1x and that'll give you "12x" as your final answer ~

For your fourth problem x+2 ( x-y ) , you would have to do something called factoring , basically all you gotta do is distribute term by term. So, x times x would give you x^2 , x times -y would give you -xy , 2 times x is 2x , and 2 times -y is -2y , so that'll look somethng like x^2 - xy + 2x - 2x . Now the 2x's cancel out
and you are left with "x^2 - xy"  as your final answer ~

What can go into 36 and 15

Answers

The number 3 can go to both 36 and 15.
(3 x 12 = 36; 3 x 5 = 15)
3 can go in both numbers evenly

Find (f - g)(x) if f(x) = x2 ­- x - 6 and g(x) = 2x2 - 3x + 4a. -x2 + 2x - 10
b. x2 - 4x - 2
c. 3x2 - 4x - 2
d. x2 + 2x - 10

Answers