Answer:
1) 2x+7
2) -3x+11
3) 0.75x-2
4) -2x+0
5) -1.5x+2
6) -4x+16
Step-by-step explanation:
1) y = mx + c
m = 2 when x=1 , y=9
9 = 2(1)+c
c = 7
y = 2x + 7
2) m = -3
When x=4, y= -1
-1 = -3(4) + c
c = -1+12 = 11
y = -3x + 11
3) m = 0.75
When x= -4, y= -5
-5 = 0.75(-4) + c
-5 = -3 + c
c = -2
y = 0.75x - 2
4) m = (y2-y1)/(x2-x1)
m = (2-(-6))/(-1-3) = 8/-4 = -2
y = -2x + c
When x= -1, y= 2
2 = -2(-1) + c
2 = 2 + c
c = 0
y = -2x + 0
5) m = (-10-(-4))/(8-4)
m = (-10+4)/4 = -6/4 = -1.5
y = -1.5x + c
When x= 4, y= -4
-4 = -1.5(4) + c
-4 = -6 + c
c = 2
y = -1.5x + 2
6) m = (-4-4)/(5-3) = -8/2 = -4
When x= 3, y= 4
4 = -4(3) + c
4 = -12 + c
c = 16
y = -4x + 16
Answer:
4 - 7g
Step-by-step explanation:
Combine like terms: 5 - 9 - 7g = -4 - 7g (answer)
Answer:
x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
Step-by-step explanation:
Solve for x:
x^4 + 8 x^3 + 7 x^2 - 40 x - 60 = 0
The left hand side factors into a product with three terms:
(x + 2) (x + 6) (x^2 - 5) = 0
Split into three equations:
x + 2 = 0 or x + 6 = 0 or x^2 - 5 = 0
Subtract 2 from both sides:
x = -2 or x + 6 = 0 or x^2 - 5 = 0
Subtract 6 from both sides:
x = -2 or x = -6 or x^2 - 5 = 0
Add 5 to both sides:
x = -2 or x = -6 or x^2 = 5
Take the square root of both sides:
Answer: x = -2 or x = -6 or x = sqrt(5) or x = -sqrt(5)
