Answer: y = - 4x/3 + 12
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (6, 4) and (3, 8),
y2 = 8
y1 = 4
x2 = 3
x1 = 6
Slope,m = (8 - 4)/(3 - 6) = 4/- 3 = - 4/3
To determine the y intercept, we would substitute x = 3, y = 8 and m= - 4/3 into y = mx + c. It becomes
8 = - 4/3 × 3 + c
8 = - 4 + c
c = 8 + 4
c = 12
The equation becomes
y = - 4x/3 + 12
Step-by-step explanation:
hope you can understand
This question is a little bit tricky. Anyway, the best answer to the question would be 2 points. The expected value of the number of points he will score would be two points in <em>every successful </em>free throw attempt he makes. It just has a probability of .40 - which means that ,say, in 10 free throw shots, there's a tendency he will only make 4 of them.
Answer:
The center is (0,0) and the radius is 2
Step-by-step explanation:
The equation of a circle is
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
x^2+y^2=4
(x-0)^2 + (y-0)^2 = 2^2
The center is (0,0) and the radius is 2
Answer:
16. $ 4100
17. y = 10000 - 750x
Step-by-step explanation:
16)
As initial value is $ 5000, and salvage value is $ 500. That means in 5 years value decreased by 5000-500 = 4500 so ,
in 5 year value decreased = 4500
in 1 year value decreased = 4500/5 = 900
so per year 900 $ gets decreased from original price. So equation can be given as
V = 5000 - 900y
where V is value of a vehicle and y is number of year
So after 1 year value would be
V = 5000 - 900 x 1 = 5000 -900 = 4100 $
17)
initial cost of car = $ 10000
per year amount decreases by = $ 750
then equation can be given as
y = 10000 - 750x
where x is number of year and y is cost of car after x year.
