i would start by simplifying the equation to get y by itself, you don't need to do this, but it makes it a little easier
y + 2 = 3 ( x + 4) distribute the 3 through the parenthesis
y + 2 = 3x + 12. subtract 2 from both sides
y = 3x +10
now to fill in the chart simply plug in the value of x to see what value of y it produces
y = 3(-2) +10
y = -6+10
y = 4
(-2,4)
y = 3(0) + 10
y = 0 + 10
y = 10
(0,10)
y = 3(2)+10
y = 6 + 10
y = 16
(2,16)
y = 3(4) + 10
y = 12 + 10
y = 22
(4,22)
Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region
by computing the double integral of the density function over
:

The boundary of
is determined by a set of lines in the
plane. One way to describe the region
is by the set of points,

So the mass is




Answer:
f(x)=-4x-1
Step-by-step explanation:
f(x)=ax+b
a=-4/slope
b=-1/y-intercept
f(x)=-4x-1
Answer: Z> -17
z/2+26=17.5
We move all terms containing z to the left and all other terms to the right.
+ 0.5z=+17.5-26
We simplify left and right side of the equation.
+ 0.5z=-8.5
We divide both sides of the equation by 0.5 to get z.
z=-17
A)
g(a) = (3a - 5)^2 + 4a - 1
b)
g(a+2) = (3(a+2) - 5)^2 + 4(a+2) - 1
g(a+2) = (3a + 6 - 5)^2 + 4a + 8 - 1
g(a+2) = (3a +1)^2 + 4a + 7