So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1
Answer:
Sam initially made 45 bread rolls
Step-by-step explanation:
Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 × x =
2x/5 bread rolls to his neighbor.
The remainder would be x - 2x/5 =3x/5
He gave 4/9 of the remainder to his cousin = 4/9 ×3x/5=12x/45
=4x/15
He has 15 bread rolls left
Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor
x = 15 + 4x/15 + 2x/5
Taking LCM of 15 and cross multiplying
15x= 225+4x + 6x
15x = 225 +10x
15x-10x = 225
5x = 225
x = 225/5 =45
Sam initially made 45 bread rolls
6x + 7(1-x) = -4(x-4)
6x + 7 - 7x = -4x + 16
-x + 7 = -4x + 16
-x + 4x = 16 - 7
3x = 9
x =9/3
x = 3
Answer:15 candy bars are solddd
Step-by-step explanation:
Try this:
x³+4x²+x-6=0
1) To re-write the equation into form:
1*x³+4*x²+1*x-6=0, the note 1+4+1=6, it means x=1
2) to re-write the equation into form:
(x-1)(x²+5x+6)=0
(x-1)(x+2)(x+3)=0
3)
Answer: -3;-2;1.
