Answer:
It would look like the picture I attached at the bottom.
Step-by-step explanation:
We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.
It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.
Since it is less than, we can shade all the values below the graph.
(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).
Desmos is a great website to use if you're having trouble graphing in the future :)
Since the order of selection does not matter, we will use combinations to solve this problem.
We are to form the combination of 30 objects taken 6 at a time. This can be expressed as 30C6.

This means the six teachers can be selected in 593775 ways.
So the correct answer is option A
Answer:
39
Step-by-step explanation:
Given the function :
h(t) = t² + 2
From t = 5 to t = 8
when, t = 5
h(5) = 5² + 2
h(5) = 25 + 2
h(t) at t = 5 ; equals 27
when, t = 8
h(5) = 8² + 2
h(5) = 64 + 2
h(t) at t = 8 ; equals 66
Net Change :
h(8). - h(5)
66 - 27 = 39
Answer:
8 litres is roughly equivalent to 2 gallons, so 8 litres would be a lot more than 1 gallon. Hope this helps! :)
Y = x + 7
<span>y = -2x - 11
x + 7 = -2x - 11
3x + 7 = -11
3x = -18
x = -6
The x-coordinate of the solution is
-6.
I have attached a graph of the two equations since the question really wanted you to graph it and then find the answer.</span>