Answer:
x² - 10x + 34
Step-by-step explanation:
given the roots are x = 5 ± 3i then the factors are
(x - (5 + 3i))(x - (5 - 3i))
= (x - 5)² - 9i² ← expand (x - 5)²
= x² - 10 x + 25 + 9 → [ i² = - 1 ]
= x² - 10x + 34
the missing term is 10x
Answer:
151515 not found
Step-by-step explanation:
For every 555 nuts found, 333 are not. This gives a total of 888.
555 + 333 = 888
Divide the total number of nuts by this number.
404040/888 = 455
Multiply the number that get found and the number that don't by the number calculated above.
555 × 455 = 252525
333 × 455 = 151515
252525 nuts will be found and 151515 will not.
Answer: $4.52
Step-by-step explanation:
From the question, sales tax rate is $8.25 per $100, this means that for every $100 item sold, $8.25 will be paid as sales tax.
Sales tax for 54.80 = x
Step 2: write the equation as;
8.25 = $100
Sales tax for $1 item will be (divide both sides by 100
$8. 25/ 100 = $0.0825
Step 3: determine the sales tax on $1 item, that is if sales tax $1 item = $0.0825
Sales tax for $54.80 item will be 0.0825 x 54.80
= $4.52
