×
First, convert
to an improper fraction. Use this rule:
=
/ Your problem should look like:
×
Second, simplify 4 × 6 to 24. / Your problem should look like:
×
Third, simplify 24 + 1 to 25. / Your problem should look like:
×
Fourth, apply this rule:
×
=
/ Your problem should look like:
Fifth, simplify 3 × 25 to 75. / Your problem should look like:
Sixth, simplify 5 × 6 to 30. / Your problem should look like:
Seventh, simplify. / Your problem should look like:
Eighth, convert to mixed fraction. / Your problem should look like:
Answer:
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.
8(3+5)...they have the same factor which is 8..check
B. the temperature of a liquid after it is heated for 10 seconds
I guess ur just gunna have to bear with whatever until we have a multiple choice answer selection.
