Answer: 0.113636364
Step-by-step explanation:
4.5 / 39.6 = 0.113636364
Or do you mean 39.6 ÷ 4.5?
39.6 ÷ 4.5 = 8.8
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.
Answer:

$570
Step-by-step explanation:
Given that:
For each hour of tutoring, Lena earns 30 dollars.
E is her earning and
H is the number of hours for which she tutors.
To find:
Equation relating E to H.
Solution:
Let Lena tutors for 1 hour, then the earning = 30 dollars
Let Lena tutors for 2 hours, then the earning = 30+30 OR 2
30 = 60 dollars
Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3
30 = 90 dollars
If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.

So, the equation that relates E to H is given as:

Now, it is given that she tutors for 19 hours.
Let us put H = 19 hours in the above equation:

Therefore, the earning for 19 hours of tutoring is <em>570 Dollars.</em>
The answer is 447 because you got to add 35 plus 410
The answer to this is A. I hope this helps