(1) y= - x² - 4x + 9 and (2) y + 5x = - 7. Isolate y in (2); y= - 5x - 7 (3)
Since (1) and (3) have the same value or the same y, then we can write:
(1)=(3)
- x² - 4x + 9 = - 5x - 7
-x² - 4x + 9 + 5x +7 = 0
-x² + x + 16 = 0 OR x² - x - 16 = 0
Solve this quadratic equation:
x' = [-b+√(b²-4ac)]/(2a) and x" = [-b-√(b²-4ac)]/(2a)
x' = [+1+√(-1)² - 4(1)(-16)]/2 → x' = [1+√(1+64)]/2 → x' = [1+√65)]/2
x" = [+1-√(-1)² - 4(1)(-16)]/2 → x' = [1-√(1+64)]/2 → x' = [1-√65)]/2
x' = [1+√65)]/2 = + 4.5311
x" =[1-√65)]/2 = - 3.5311
Lets convert the fraction first to ease the calculations:
2 5/8 = 16/8 + 5/8 = 21/8
so now we can operate easily, to calculate we need to multiply 21/8 by 2/3 that is because, if 1/3 is used then 2/3 are left over (1/3 + 2/3 = 1, the total), so we have:
(2/3)(21/8) = (2*21)/(3*8)
= 42/24
= 21/12
= 7/4
so 7/4 are left over
100 students walk to school each day because no matter if you ride the bus or bike to school, you still gotta walk into the school
Yurrr
Answer:
V=lwh=5 x 9 x 3=135cm+33=4
Step-by-step explanation:
The first has value 2500*(1+.05*9)=3625. The second, similarly, has value 4160, and the third, 3400. Thus, the order, from least to greatest, is third, first, second.
