Answer:
i. Time = 2 hours.
ii. Average speed for the whole journey = 25 km/h
Step-by-step explanation:
Distance from Antville to Beetleton = 60 km
Mr. Caterpillar's speed = 30 km/h
Speed = 
⇒ time = 
= 
= 2
time = 2 hours
It would take Mr. Caterpillar 2 hours to travel from Antville to Beetleton at that speed.
On his return journey, his average speed is 20 km/h. Therefore;
average speed for the whole journey = 
= 
= 25
average speed for the whole journey = 25 km/h
Answer:
4
Step-by-step explanation:
Whatever you multiply or divide to the numerator, you do to he denominator.
Here, 12 was divided by 4 to obtain 3 in the other fraction. So, the missing number has to be 16 divided by 4, which gives 4
Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable 
in this polynomial is 
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is 
.
.
Similarly:
.
By the Factor Theorem, if 
is a root of a polynomial, then 
would be a factor of that polynomial. Note the minus sign between and 
.
- The root
corresponds to the factor 
, which simplifies to 
. - The root
corresponds to the factor 
, which simplifies to 
.
Verify that 
indeed expands to the original polynomial:
.
The answer to the question
