Answer:
Tip = $4.34
Total = $18.34
Step-by-step explanation:
Dinner = $14
Tip is 31% of dinner
14 x 0.31 = 4.34
14 + 4.34 = 18.34
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
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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.
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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.
You would take the 36 and divide it by the 3 then add 6
Answer:
i dont know im only getting points for this so i dont
fail and my mother hate me more for having to F's and to C's she wants all A's but pls dont get upset at me for not answering this pls it would be helpful
Answer:
m (slope) = 
Step-by-step explanation:
point-slope form: m= 
(4, 5) (2, -6)
x1 y1 x2 y2
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= m
-6 - 5 = -11
2 - 4 = -2
m =
