For this, you use the Law of Distribution and multiply -1 by all terms in the parentheses. 7 • -1 = -7; -c • -1 = c. Then you combine them, but since c is a variable, -7 + c is the most simplified it can get. I hope this helped!

7 0

3 years ago

Find the axis of symmetry of 2x^2 + 12x + 16 Show your work

raketka [301]

The vertex form:

$y=a(x-h)^2+k\\\\(h,\ k)-vertex$

The axis of symetry is x = h.

$y=ax^2+bx+c\to h=\dfrac{-b}{2a}$

We have

$y=2x^2+12x+16\to a=2,\ b=12,\ c=16$

Substitute:

$h=\dfrac{-12}{(2)(2)}=\dfrac{-12}{4}=-3$

<h3>Answer: x = -3</h3>

6 0

3 years ago

Graph an inequality on a number line: 15>m

barxatty [35]

When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>"), the dot if filled in.

When the sign is < or >, the dot is not filled in/open circle.

15 > m

[15 is greater than m, or m is less than 15]

Since m is less than 15, the arrow is going to the left (the numbers to the left are less than 15)

5 0

3 years ago