Answer:

Step-by-step explanation:


9514 1404 393
Answer:
9. ±1, ±2, ±3, ±6
11. ±1, ±2, ±3, ±4, ±6, ±12
Step-by-step explanation:
The possible rational roots are (plus or minus) the divisors of the constant term, divided by the divisors of the leading coefficient.
Here, the leading coefficient is 1 in each case, so the possible rational roots are plus or minus a divisor of the constant term.
__
9. The constant is -6. Divisors of 6 are 1, 2, 3, 6. The possible rational roots are ...
±{1, 2, 3, 6}
__
11. The constant is 12. Divisors of 12 are 1, 2, 3, 4, 6, 12. The possible rational roots are ...
±{1, 2, 3, 4, 6, 12}
_____
A graphing calculator is useful for seeing if any of these values actually are roots of the equation. (The 4th-degree equation will have 2 complex roots.)
Answer:
Tina's average speed for the whole journey = 56 kmph
Step-by-step explanation:
Time taken by Sean to travel from Town A to Town B = 4 hours.
Average speed of Sean = 70 km/h
We have equation of motion, s = ut + 0.5 at²
Time, t = 4 hours.
Initial speed, u = 70 km/hr
Acceleration, a = 0 m/s²
Substituting
s = ut + 0.5 at²
s = 70 x 4 + 0.5 x 0 x 4²
s = 280 km
Distance from Town A to Town B = 280 km
Tina took 1 hour more than Sean.
Time taken by Tina to travel from Town A to Town B = 4 +1 = 5 hours
We have equation of motion, s = ut + 0.5 at²
Time, t = 5 hours.
Displacement, s = 280 km
Acceleration, a = 0 m/s²
Substituting
s = ut + 0.5 at²
280 = u x 5 + 0.5 x 0 x 5²
u = 56 km/hr
Tina's average speed for the whole journey = 56 kmph
Greatest Common Factors (GCF) can help you in real life problems with fractions and measuring things. Below is a real life example.
Let's say you want to send cookies into one of two classes and want to make sure you have an even number per student. You know that one class has 8 students and the other has 10 students. How many cookies do you make?
Answer: All you have to do is figure out the biggest number that goes into each number equally (division). In this case the answer would be 2.
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