The graph is falling on the left hand side and rising on the right hand side.
Since the two ends of graph are in opposite direction, the exponent of variable has to be odd. For an even exponent of leading term, the two ends are in same direction.
Since the graph is falling on left and rising on right, this indicates that the coefficient of leading term is positive.
So, the leading term must have:
1) Odd exponent
2) Positive Coefficient
Thus, option Fourth is the correct answer
Answer: B; here's a brief explanation as to why:
g(x) is an equation that has a -1 being distributed to both x^2 and -2, making the equation really -x^2 + 2,
the - in x^2 would flip the line on the X axis, while the + 2 would raise the line up by two
F(x)/(x-a)=f(a)
Here a=4
So we need f(4)
F(4)=(4)^3 -1
F(4)=64-1=63
Answer:
7$
Step-by-step explanation:
15+6=21 ÷3 = $7 per friend
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.