Given -6b+22>-8 what is the largest integer b can represent

So we have this inequality:

We substract 22 on both sides:

Now, we divide both sides by -6 and we change the sign, as, when we multiplicate or divide by a negative number we always have to do it:

So we know b < 5, so the biggest integer b can represent is 4. Note that the solution is any number which is smaller than 5.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

answer: 5

step-by-step explanation: