Answer:
B.
+ 2x³ - 8x² - 22x - 15
Step-by-step explanation:
1. (3x² - 2x - 3)(5x² + 4x +5)
+ 12x³ + 15x² - 10x³ - 8x² - 10x - 15x² - 12x - 15
2. Combine like terms
+ 2x³ - 8x² - 22x - 15
Answer:
18 and 27
Step-by-step explanation:
Let x = first (smaller) number
Let y = second (larger) number
Sum of two numbers is 45:
⇒ x + y = 45
The greater number is 9 more than the other number:
⇒ y = x + 9
Substitute y = x + 9 into x + y = 45 and solve for x:
⇒ x + (x + 9) = 45
⇒ 2x + 9 = 45
⇒ 2x = 36
⇒ x = 18
Substitute found value for x into y = x + 9 and solve for y:
⇒ y = 18 + 9
⇒ y = 27
Therefore, the two numbers are 18 and 27
A number that can add up to 10 and multiplies to 11 is 1 since 11 is a prime number
7. 3/5 = 4.5/x
3x= 5(4.5)
x = 15/2
8. 6/4 = 9/x
6x= 45
x= 15/2
8. since triangle ABC and ADE are identical,
angle E is also 30 degrees
so angle D = 180-(30+70)=80 degrees
9. 9/3 = x/5
3x = 45
x = 45/3 = 15