Answer:
Step-by-step explanation:
Given tq equation of the height reached by the rocket as y=-16x^2+235x+133
The velocity of the object at its maximum height is zero
v = dy/dx = 0(at max height)
v =-32x +235
0 =-32x+235
x = 235/32
x = 7.34
Hence the rocket will reach its maximum height after 7.34seconds
multiply the 2 numbers together
100 x 13.145 = $1,314.50
Every quarter is 3 months so you must divide 1339.70 by 3 to get her monthly payment of about $446.57.
Hope this helps :3
Answer:
Billy used 28 mins 30 sec to mow the lawn and Bobby used 43 mins 30 sec to now the lawn both within 72 mins
Step-by-step explanation:
let x represent Billy
let x+15 represent Bobby
x + x + 15 = 72
2x = 72 - 15
2x = 57
2x/2 = 57/2
x = 28.5 minutes = 28 minutes 30 seconds
Bobby = x + 15
= 28.5 + 15
= 43.5 minutes= 43 minutes 30 seconds
Answer:
(5a+b)⋅(5a−b)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
52a2 - b2
STEP
2
:
Trying to factor as a Difference of Squares
2.1 Factoring: 25a2-b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (5a + b) • (5a - b)