For the red line, we have:
gradient (

) = 1/3
y-intercept = 3
Equation of straight line is given by

, where

is the gradient and

is where the line intercept the y-axis
So we have,

The shaded part is above the line, hence the first inequality is

The black line, we have
gradient,

= 3
y-intercept = -2


, rearranging gives

The shaded region is to the right of the line, hence the inequality is

Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>
Answer:
f(-8) = 104
Step-by-step explanation:
f(t) = t^2 - 5t
Let t=-8
f(-8) = (-8)^2 -5(-8)
= 64 +40
= 104
Copy down the given function:
f(x)=3•2^x
Now replace both instances of x with -2:
f(-2) = 3*2^(-2). 1
Recall that 2^(-2) is the same as ------ = 1/4
2^2
Therefore, f(-2) = 3*2^(-2) = 3*(1/4) = 3/4
Remember that exponentiation has to be carried out before multiplication. That's why I did 2^(-2) before multiplying by 3.
What is the homeowner filling in..?
Answer:
225
Step-by-step explanation:
Clockwise turn:
Southeast to South = 45
South to North = 180
Southeast to North = 180 + 45 = 225