Answer:
x-intercept: (4, 0), (-5, 0)
y-intercept: (0, -20)
Explanation:
Their x-intercept: (at x intercept, y will be 0)
Their y intercept: (at y intercept, x will be 0)
Answer: x = (3 − i√3)/6 and (3 + i√3)/6
Step-by-step explanation:3x² − 3x + 1 = 0
∴ 3x² − 3x = -1
∴ x² − x = -1/3
∴ x² − x + (-1/2)² = (-1/2)² − 1/3
given x² + bx + (b/2)² = (x + b/2)²
∴ (x − 1/2)² = 1/4 − 1/3
∴ (x − 1/2)² = 3/12 − 4/12
∴ (x − 1/2)² = -1/12
∴ x − 1/2 = ±√(-1/12)
This tells us there are no real roots and if you need real number solutions we stop here
∴ x − 1/2 = ±i/(2√3)
∴ x − 1/2 = ±i√(3)/6
∴ x = 1/2 ± i√(3)/6
∴ x = 3/6 ± i√(3)/6
∴ x = (3 − i√3)/6 and (3 + i√3)/6 <= the 2 complex roots
Answer:
There are exactly 52.142857142857 weeks in the year 2019. This is equivalent to 52 weeks and 1 extra day, since there are 365 total days in 2019. Most years have 365 days, but a leap year has 366 days. That adds up to 52 weeks (where each week is exactly 7 days) PLUS 1 or 2 additional days.There are 52 complete weeks in a year. The year has 365 days, leaving one extra day. A leap year has 366 days, adding a second extra day. This makes 52 1/7 weeks in a normal year and 52 2/7 weeks in a leap year..
Answer:
D
Step-by-step explanation:
because 1 is a factor of every number and also three is a factor of 27
Answer:
y=-3/2x+8
Step-by-step explanation: