Question 21
Let's complete the square
y = 3x^2 + 6x + 5
y-5 = 3x^2 + 6x
y - 5 = 3(x^2 + 2x)
y - 5 = 3(x^2 + 2x + 1 - 1)
y - 5 = 3(x^2+2x+1) - 3
y - 5 = 3(x+1)^2 - 3
y = 3(x+1)^2 - 3 + 5
y = 3(x+1)^2 + 2
Answer: Choice D
============================================
Question 22
Through trial and error you should find that choice D is the answer
Basically you plug in each of the given answer choices and see which results in a true statement.
For instance, with choice A we have
y < -4(x+1)^2 - 3
-7 < -4(0+1)^2 - 3
-7 < -7
which is false, so we eliminate choice A
Choice D is the answer because
y < -4(x+1)^2 - 3
-9 < -4(-2+1)^2 - 3
-9 < -7
which is true since -9 is to the left of -7 on the number line.
============================================
Question 25
Answer: Choice B
Explanation:
The quantity (x-4)^2 is always positive regardless of what you pick for x. This is because we are squaring the (x-4). Squaring a negative leads to a positive. Eg: (-4)^2 = 16
Adding on a positive to (x-4)^2 makes the result even more positive. Therefore (x-4)^2 + 1 > 0 is true for any real number x.
Visually this means all solutions of y > (x-4)^2 + 1 reside in quadrants 1 and 2, which are above the x axis.
Log4 + logX + log13 = 0
logX = -log13 - log4
logX = -1.716
x= 10^[-1.716]
x= 0.019 A
Welcome to the era of LeBron. If you thought he was doing the game a disservice by being a sore loser and egomaniac, you haven’t seen anything yet. It wasn’t enough that he decided to become a pariah, he and his group of cronies have decided they want to ruin the NBA.
How? By systematically turning every superstar in the NBA into LeBron James. They are trying to turn them into spoiled, delusional, lying, quitting cowards.
Two of the biggest stories this offseason have been the drama in Denver and New Orleans. Both players, for whatever reasons, have decided that they no longer want to be the cornerstone of a franchise. Before the summer of Lebron, neither had really been asking to get out of their situations. So what is the common thread here? Well, both are represented by agent Leon Rose. Who else is represented by Rose? Why Mr. James, of course.
Answer:
The area of the triangle is: "
8.5 cm² " ;
or, write as: "
8
cm² " .
_______________________________________________________Explanation:_________________________________________________________The formula {"equation"} for the area of a triangle is:
A = (

) * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = "
8.5 cm² " ; or, write as: "
8
cm² " .
_________________________________________________________Answer:
"
8.5 cm² " ; or, write as: "
8
cm² " .
_________________________________________________________The area of the triangle is:
"
8.5 cm² " ;
or, write as: "
8
cm² " .
_________________________________________________________