Please explain how you got the answer, i dont understand the subject

y=mx+c

We have to find the value of m and c.

Let's substitute the value of x and y from the table.

When x=1, y=15,

15= m(1)+c

m +c= 15 (1)

Now substitute another set of x and y values.

When x=2, y=24,

24= m(2)+c

2m +c= 24

c= 24 -2m (2)

Let me rewrite the two equations so that it is clearer for you to see.

m + c= 15 (1)

c = 24 -2m (2)

subst. (2) into (1):

m+ 24-2m= 15

-m= 15-24 (bring constants to 1 side, m terms to the other)

-m= -9 (simplify)

m= 9 ( divide by -1 throughout)

subst. m=9 into (2):

c= 24 -2(9)

c= 24-18

c= 6

Thus, the equation is y=9x+6.

When the cat is 3 years old, x=3.

When x=3,

y= 9(3)+6

y= 33.

Hence, the cat is 33 years old in human years.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

can i see the following ?

step-by-step explanation: