Suppose you discovered that your cat had a taste for adorable little geckoes that live in the bushes and vines in your yard, back when you live in your old area. In one month, suppose he

deposited the following on your carpet: six gray geckoes, twelve geckoes that had drop their

tails in an effort to escape capture, and fifteen geckoes that he’d chewed on a little. Only one

of the geckoes was gray, chewed on, and tailless; two were gray and tailless but not chewed

on; two were gray and chewed on but not tailless. If there were a total of 24 geckoes left on

your carpet that month, and all of the geckoes were at least one of “gray”, “tailless”, and

“chewed on”, guide your students to find how many were tailless and chewed on but not gray?​

answer: 12

step-by-step explanation:

because yes

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

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation:

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: