Answer:
4x² -20x +61
Step-by-step explanation:
the quadratic equation can be written as (x-root1)(x-root2)
(x-(5/2) -3i) (x-(5/2)+3i), distribute
x² -(5/2)x +3xi -(5/2)x + 25/4 -(15/2)i -3xi +(15/2)i -9i², simplify
x² -(5/2)x -(5/2)x + 25/4 -9i², use the fact that i² =(√-1)² = -1 and substitute i²
x² -(5/2)x -(5/2)x + 25/4 +9, combine like terms and rewrite 9 as 36/4
x² -(10/2)x +25/4 + 36/4, combine like terms and simplify
x² -5x +61/4 is the quadratic expression yet it does not have integer coefficients so multiply by 4 to have all coefficients integers
4x² -20x +61
Answer: 2.7 or in money form $2.70
Step-by-step explanation:
Answer:
Raquel should adjust the number of rotations to 115.81 rotations
Step-by-step explanation:
step 1
Find the circumference of the wheels that are 2.5 cm in diameter
The circumference is equal to

we have

assume

substitute


step 2
Find the number of rotations
Divide 10 meters by the circumference


step 3
For a diameter of 2.75 cm find how should she adjust the number of rotations so that the robot travels the same distance
Find the circumference of the wheels
The circumference is equal to

we have

assume

substitute


step 4
Find the number of rotations
Divide 10 meters by the circumference

