Remember you can do anything to an equation as long as you do it to both sides
(y/4)-49=-9
isolate the variable
add 49 to both sides
y/4=40
multiply both sides by 4 to clear fraction
y=160
Lets make an equation for the line first. The slope is 3 and the y intercept is -1, so we can make the equation y = 3x - 1. Then, to figure out what sign to use (<= or >= due to solid line in graph), we replace the = sign with one and see if a coordinate in the shaded area will furfill the inequality. If it doesn't, we know it needs the other inequality sign. If it does, we have found the correct inequality. So let's try y <= 3x - 1 with the coordinate (1,1). We try it, solve, and get 1 <= 2. So, the inequality for this graph is y <= 3x - 1.
Answer:
f(2)=5, f(-2)=-7
Step-by-step explanation:
Step 1 : f(2)=3(x)-1
f(2)=5
Step 2 : f(-2)=3(x)-1
f(-2)=-7
Answer:
11, 13, 17, 19
Step-by-step explanation:
If you look at the prime numbers chart between 10 and 20, there are:
11, 13, 17, 19
Those are all of the prime numbers that are between 10 and 20.
Answer:
middle graph
Step-by-step explanation:
Soluton
The second (middle ) graph is the only one that works.
- First of all when you simplicity the right, you get y = x^2 - 1). That means that x does not go through 0,0. If you put x = 0 into x^ - 1 = 0, you get - 1. So on that basis alone both the first and third graphs are incorrect.
- Second, both xs in the factors are plus, so x^2 is plus, which means the graph opens upward.
