Answer:

Step-by-step explanation:
f(x) = -2(x+1)²-12
f(x) = -2(x²+2x+1) - 12
f(x) = -2x² - 4x - 2 - 12
f(x) = -2x² - 4x - 14
Answer:

Step-by-step explanation:
The fraction 5/8 is equivalent to 15/24:

Subtracting:

Reducing:

5 is the distance between the points which is given
Answer:
a) there is s such that <u>r>s</u> and s is <u>positive</u>
b) For any <u>r>0</u> , <u>there exists s>0</u> such that s<r
Step-by-step explanation:
a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.
b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.