Answer:
A
Step-by-step explanation:
Given
-4x²(5
- 3x² + x - 2)
Multiply each term in the parenthesis by - 4x²
= - 20
+ 12 - 4x³ + 8x²
Construct the line using the two points:
slope: m = (-4 - 2) / (4 + 3) = -6/7;
then, y = mx + b => 2 = (-6/7)(-3) + b => 14/7 - 18/7 = b => b = -4/7.
And your y-intersect is -4/7.
These are all the possible answers i know from experience.
2x + 2y = 7
x^2 - 4y^2 = 8
2x = -2y + 7
x = -y + 7/2
(-y + 7/2)^2 - 4y^2 = 8
y^2 - 7y + 49/4 - 4y^2 = 8
0 = 3y^2 + 7y + 8 - 49/4
0 = 12y^2 + 28y + 32 - 49
0 = 12y^2 + 28y - 17
y = (-b ± √(b^2 - 4ac))/(2a)
y = (-28 ± √(28^2 - 4(12)(-17)))/(2(12))
Dividing by 2 is like dividing by √(4):
y = (-14 ± √(7*28 + (12)(17)))/(2*6)
y = (-7 ± √(7*7 + (3)(17)))/6
y = (-7 ± 10)/6 = 1/2 or -17/6
x = -y + 7/2 = 3 or 19/3
<span>Solutions are (3,1/2) and (19/3,-17/6)</span>
Answer:
see explanation
Step-by-step explanation:
note that f ○ g = f(g(x))
To evaluate substitute x = x³ into f(x)
f(g(x)) = f(x³) = 5x³ - 8
In the same way
g ○ f = g(f(x))
To evaluate substitute x = 5x - 8 into g(x)
g(f(x)) = g(5x - 8) = (5x - 8)³
