Answer:
slope of the line is -0.5
y-intercept is 13
Explanation:
The general formula of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c
2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13
Based on the above, the equation of the line would be:
y = -0.5x + 13
Hope this helps :)
Answer:<em><u> 
π
. </u></em>
Given:
Using Gauss's Law = ∫∫s E ·dS
= ∫∫∫ div E dV,
⇒ Divergence (Gauss') Theorem
= ∫∫∫ (1+1+6) dV
= 8×(volume of the hemisphere, radius "a")
= 8× (
)(4/3)π
<em><u>= π . </u></em>
Break even is the value of t where revenue=cost or R(t)=C(t)
set equal each other
-50t^2+300t=600-50t
multiply both sides by -1
50t^2-300t=50t-600
divide both sides by 50
t^2-6t=t-12
minus t-12 from both sides
t^2-7t+12=0
factor
(t-4)(t-3)=0
set each to zero
t-4=0
t=4
t-3=0
t=3
the cost is $3 or $4
it will first break even at t=3$
Answer:
Its C!
Step-by-step explanation:
hmu if you need anything els
Answer:
and not 
Step-by-step explanation:
Jim's work evaluating 
is shown:
If you look at the Second step, the exponent is taken over only the numerator. It should have been taken over both the numerator and denominator as shown below.
The correct workings therefore is:
