10.99 x .25 is $2.7475. In dollars, you would round to the nearest hundredth so 2.75 is what the discount is. The discounted price is 10.99 - 2.75 which is $8.24
Answer:
At these rates Sydney read 10 pages per hour more than Zander.
Step-by-step explanation:
Zander read 
pages in 
of an hour.
Therefore, pages read by Zander in 1 hour = 
= 
= 
= 55 pages per hour
Sydney read 
pages in 
of an hours.
Pages read by Sydney in 1 hour = 
= 
= 65 pages per hour
Therefore, number of pages read more by Sydney as compared to Zander,
= 65 - 55
= 10 pages per hour
At these rates Sydney read 10 pages per hour more than Zander.
Answer:(2k-1)(k-12)
Step-by-step explanation:
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
