Answer:
i) 28 - 30i
ii) 36 + 28i
Step-by-step explanation:
i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i
z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i
2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i
ii) w = -1 + 5i and z = 4 - 8i
w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40⇒collect like terms
w × z = -4 + 28i - 40
∵
∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i
If you want anywhere from an 85 to 105, then you subtract those 10 free points, and need to make anywhere from a 75 to 95.
Answer:
- 439
Step-by-step explanation:
evaluate f(- 7) and substitute the value obtained into s(x)
f(- 7) = 3(- 7) = - 21 , then
s(- 21) = 2 - (- 21)² = 2 - 441 = - 439
Answer:
625
Step-by-step explanation:
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The answer needs to be in mph, or "miles per hour", so let's convert "5 hours and 15 minutes" to pure hours (with no minutes attached)
Since there are 60 minutes in an hour, this means that 15 minutes = 15/60 = 1/4 of an hour (quarter of an hour). I'm going to convert the fraction 1/4 into decimal form 0.25; use a calculator or long division to compute this.
Therefore,
5 hours and 15 minutes = (5 hours) + (15 minutes)
5 hours and 15 minutes = (5 hours) + (0.25 hours)
5 hours and 15 minutes = (5+0.25) hours
5 hours and 15 minutes = 5.25 hours
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The car travels 183.75 miles (given) for 5.25 hours (value computed above). Use the formula shown below to find the speed or rate
speed = distance/time
s = d/t
s = 183.75/5.25
s = 35
Note: your math book might use "r" instead of "s".
So the speed of the car is 35 miles per hour