1) b^2 - 4ac = ( -2 )^2 - 4×( 0.5 ) × 2 = 4 - 4 = 0;
2) b^2 - 4ac =( -5)^2 - 4×2×20 = 25 - 160 = - 135 ;
Answer:
56
Step-by-step explanation:
> Factor the expression for the revenue
We are given that the revenue is the product of price and
number of units sold = x p. Given the equation of revenue we factor it:
R = 800 x – 0.25 x^2
Take out x from the equation:
R = x (800 – 0.25 x)
We see that this is now in the form x p
> Determine an expression for the price in terms of x
From the factored equation we can say that the price in
terms of x is:
<span>p = 800 – 0.25 x</span>
Answer:
39
Step-by-step explanation:
180 - 141 = 39
A straight angle equals to 180, since the lines are congruent, the angles have the same measurements.
Step-by-step explanation:
the general equation of a line is
y = ax + b
a is the slope of the line.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
6 = -3×4 + b = -12 + b
18 = b
so, the full line equation is
y = -3x + 18
which is answer C : 3x + y = 18
