Problem #1
keith has $500 in a savings account at the beginning of the
summer. he wants to have at least $200 in the account by the
end of summer. he withdraws $25 a week for his cell phone
bill.
write an inequality that represents keith's situation.

Explanation:

Translate every verbal statement into an algebraic statement,

1. Keith has $500 in a savings account at the beginning of the summer.

2.  He wants to have at least $200 in the account by the end of summer.

3. He withdraws $25 a week for his cell phone bill.

4. Write an inequality that represents Keith's situation.

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

answer: '

the distance between points l and m

step-by-step explanation: