Answer:
x = -4, y = 3/2
Step-by-step explanation:
simplify the 1st equation by dividing each term by 4 to get:
x + 2y = -1
-5x + 2y = 23
Subtract to get: 6x = -24
x = -4
find 'y': 2y - 5(-4) = 23
2y + 20 = 23
2y = 3
y = 3/2
Line joining (-3, -1) and (1/2, 2)
Point point form for a line is
(c-a)(y-b) = (d-b)(x-a)
(1/2 - - 3)(y - -1) = (2 - -1)(x - -3)
(7/2)(y+1)=3(x+3)
7(y+1)=6(x+3)
7 - 6(3) = 6x - 7y
6x - 7y = -11
Answer: second choice, 6x - 7y = -11
Answer:
-3 or decreasing by 3
Step-by-step explanation:
To find the average change, you only care about the first and last point which would be (3,17) and (8,2)
the overall change during that time is 2-17=-15 (for the f(x) side )
the overall change during that time is 8-3=5(for the x side)
all we have to do is -15/5=-3
therefore the average rate of change is -3
Answer:
Step-by-step explanation:
Answer:
x = 3/2
Step-by-step explanation:
Solve for x over the real numbers:
(5 x^2 - 4 x + 6) (3 - 2 x) = 0
Split into two equations:
3 - 2 x = 0 or 5 x^2 - 4 x + 6 = 0
Multiply both sides by -1:
2 x - 3 = 0 or 5 x^2 - 4 x + 6 = 0
Add 3 to both sides:
2 x = 3 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 2:
x = 3/2 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 5:
x = 3/2 or x^2 - (4 x)/5 + 6/5 = 0
Subtract 6/5 from both sides:
x = 3/2 or x^2 - (4 x)/5 = -6/5
Add 4/25 to both sides:
x = 3/2 or x^2 - (4 x)/5 + 4/25 = -26/25
Write the left hand side as a square:
x = 3/2 or (x - 2/5)^2 = -26/25
(x - 2/5)^2 = -26/25 has no solution since for all x on the real line, (x - 2/5)^2 >=0 and -26/25<0:
Answer: x = 3/2
