If you mean
you can first substitute 
to get
and so
10meters=1000cm
1000-210=890
Mary has 890 centimeters of thread left on the reel.
Answer:Andrew will pay $1100 in sales tax
Step-by-step explanation:
Andrew bought a new car for $32,000. The dealer gave him $10,000 for his trade-in. Sales tax is 5% but is only charged on the difference between the cost of the new car and the value of the trade-in. The value of the difference between the cost of the new car and the value of the trade-in would be
32000 - 10000 = $22000
Therefore, the amount that Andrew will pay in sales tax would be
5/100 × 22000 = 0.05 × 22000 = $1100
50.16 cause it says 5 ten times the value
Answer:
-8
Step-by-step explanation:
For roots r and s, the quadratic can be factored ...
f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs
Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...
r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2
Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...
(x-coefficient)^2 -2(constant term)
we get ...
r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6
r^2 +s^2 = 2(m -1)^2 -8
The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.
