Eugene and wes are solving the inequality 132 − 4x ≤ 36. each begins by subtracting
132 from both sides to get −4x ≤ −96, and then each divides both sides by −4. eugene gets
x ≤ 24 and wes gets x ≥ 24, however. always happy to offer advice, alex now suggests to
eugene and wes that answers to inequalities can often be checked by substituting x = 0
into both the original inequality and the answer. what do you think of this advice? graph
each of these answers on a number line. how do the results of this question relate to the
flooding of the exeter river?

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1