Answer:
D: 0 and 1
Step-by-step explanation:
Function is defined by;
f(x) = 3x^(5) - 5x⁴
Now, an inflection point will be a point on the graph where the inflection or concavity changes.
Thus, let's find the derivatives until we get there;
f'(x) = 15x⁴ - 20x³
f''(x) = 60x³ - 60x²
So factorizing gives;
f''(x) = 60x²(x - 1)
At f''(x) = 0, we have; x = 0 or x = 1
Thus, the x coordinates of points of inflection are 0 & 1
Final answer is...... positive 15/8
Answer:
(-3,-2)
Step-by-step explanation:
2x-5y=4
3x-7y=5
solve the equation
x=2+5/2y
3x-7y=5
substitute the value of x into an equation
3(2+5/2y)-7y=5
multiply 3 to 2. and. 3 to 5/2y
6+15/2y-7y=5
minus 6 to 5 and. add 15/2y to -7y
-1/2y=1
divide both sides by -1/2
y= -2
substitute the value of -2 into an equation
x=2+5/2•(-2)
multiply 5/2 to -2
x=2+-5
add but since 5 is negative then subtract the numbers
x= -3
combine y= -2 and x= -3 as a point
So the answer is (-3,-2)
