Answer:
x>-4
Step-by-step explanation:
6x-5>-29
6x-5+5>-29+5
6x>-24
6x/6>-24/6
x>-4
Answer: 
Step-by-step explanation:
The quadratic equation in its standard form is:

Now, we are given 5 points of the parabola (if you graph a quadratic equation you will have a parabola), however we only need to choose three points to find the coeficients
,
and
in the quadratic equation.
So, let's choose the first three points:
(-1,14):

(1)
(0,7):

(2)
(1,4):


(3)
Substituting (2) in (1) and (3):
(4)
(5)
At this point we have a system with two equations.
Adding (4) to (5):
(6)
Isolating
:
(7)
Substituitng (7) in (3):
(8)
Isolating
:
(9)
Now we have the three coeficients and we can write the quadratic equation:

The product is 3 and 3 4ths (3 3/4)
Answer:
(- 2, - 8 ) , (6, 0 )
Step-by-step explanation:
y + 18 = x(x - 3) ← distribute
y + 18 = x² - 3x → (1)
x = y + 6 → (2)
Substitute x = y + 6 into (1)
y + 18 =(y + 6)² - 3(y + 6) ← expand parenthesis using FOIL
y + 18 = y² + 12y + 36 - 3y - 18
y + 18 = y² + 9y + 18 ( subtract y + 18 from both sides )
0 = y² + 8y = y(y + 8)
Equate each factor to zero and solve for y
y = 0
y + 8 = 0 ⇒ y = - 8
Substitute these values into (2) and evaluate for x
y = 0 : x = 0 + 6 = 6 ⇒ (6, 0 )
y = - 8 : x = - 8 + 6 = - 2 ⇒ (- 2, - 8 )
1080 dollars. The first interest is 2700 and the second is 1620.