Answer:
(0,6),(-2,0)
Step-by-step explanation:
The given equation are;

and

We equate both equations to get;

Regroup all terms on the left hand side to obtain;


Factor;



We can put the values of x into any of equations preferably the linear equation to get;
, when x=0.
and
, when x=-2.
The solutions are
(0,6),(-2,0)
Answer:
k=5/3
Step-by-step explanation:
The variables x and y vary directly. Given that, y = 20 and x = 12
We can write it as :
y=kx
Where k is constant of proportionality
Put the values of x and y
20=12k
k = 20/12
k = 5/3
So, the value of the constant of proportionality is 5/3.
Answer:
B
Step-by-step explanation:
f(0) - f(-3) = area under f'(x) from x=0 to x=3.
We can find the area under f'(x) in this interval by finding the area of the triangle formed by the line.
A = 1/2 b h
A = 1/2 (3) (3)
A = 4.5
f(0) - f(-3) = 4.5
Since f(0) = 7:
7 - f(-3) = 4.5
f(-3) = 7 - 4.5
f(-3) = 2.5