<u>Answer</u>
Part 1 = -441
Part 2 = -539
Explanation
(p.q)(5) = (-2x+1)(2x²-1)
= (-2x×2x²)-(-2x×1)+(1×2x²)-(1×1)
= -4x³+2x+2x²-1
= -4x³+2x²+2x-1
Substituting x witj 5;
-4×5³+2×5²+2×5-1
-441
part 2
(q.p)(5) = (2x²-1)(-2x+1)
= (2x²×-2x)-(2x²×1)-(1×-2x)+(1×1)
= -4x³-2x²+2x+1
Substituting x with 5;
-4×5³-2×5²+2×5+1
-539
Between 8 and 9
is the correct answer (8.06)
For the first question,
Square-root 5 is NOT a rational number.
It’s irrational because, in decimal form, the number goes on forever and has no repeating numbers in decimal form.
Question 2
Pi is NOT rational.
Pi goes on forever and doesn’t repeat.
Answer:
The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.
Step-by-step explanation:
In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:
time = distance/speed
First part:
t1 = 9/s
Second part:
t2 = 9/1.2s = 7.5/s
The expression for the whole course is the sum of each, so we have:
t = t1 + t2
t = 9/s + 7.5/s
t = (9 + 7.5)/s = (16.5)/s
