Answer:
(-5,29)
(2,1)
(4,-7)
Step-by-step explanation:
y = -4x + 9
When x is -5;
y = -4(-5) + 9 = 29
When x is 2;
y = -4(2) + 9 = 1
When x is 4;
y = -4(4) + 9 = -7
<span>( 9 + 2 i ) ( 3 − 5 i ) − ( 9 + i ) ( 3 − 5 i )
FOIL
i x i = -1
(27 + 6i - 45i +10) - (27 +3i - 45i +5)
Combine like terms and distribute the negative
37 - 39i + 42i - 32
3i + 5
This is the farthest I could go with it. Assuming you were looking for a simplification though you did not specify your desired answer's criteria. Hope this helped!</span>
Y = |x - 1|
and
y = 3x + 2
Equating the values of y, we can write:
|x - 1| = 3x + 2
This means:
A) x - 1 = 3x + 2
x - 3x = 2 + 1
-2x = 3
⇒ x = -3/2 = -1.5
B) - ( x - 1) = 3x + 2
3x + x = 1 - 2
4x = -1
⇒ x= -1/4 = - 0.25
For x = -0.25
y = 3(-0.25) + 2 = 1.25
x = -1.5 is an extraneous root and is not applicable.
So the solution set is (-0.25, 1.25)
Option A gives the approximate solution set.