Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
14 * 9000
---
9
126000
-----------
9
=14000
Answer:
The amount that we should deposit in each bank is around $942.
Step-by-step explanation:
Case 1:
A=$1000
n = 12
t = 2
r = 3% or 0.03
p = ?
The compound interest formula is :
Substituting values in the formula;
=>
=>
p = $941.84
Case 2:
A=$1000
n = 365
t = 2
r = 3% or 0.03
p = ?
=>
=>
p = $941.76
The amount that we should deposit in each bank is around $942.
Answer:
Perimeter is the distance around the outside of a shape. Perimeter is found by adding together the length of all a shape's sides.
P = a + b + c + d
p = 4 × a
p=2a+2b
Since a is parallel to b , taking CE as transversal
m< CED = m<3 = 58° (alternate interior angles)