Hey You!
The images are blurry and I cannot make out most of the questions. I'll solve as many as I can see!
27. ANSWER:
Students A and D have a combined score of 0 because 4 + -4 = 0
___________________
28. SOLUTION/ANSWER:
STEP 1: 12.40 - 0.72 = 11.68
STEP 2: 11.68/2 = 5.84
Answer: Each souvenir cost $5.84.
___________________
29. SOLUTION/ANSWER:
(-68) - 214 = -282
Answer: The lowest elevation in California is -282 feet.
___________________
33. SOLUTION/ANSWER:
60/3 = 20
Answer: The diver's change in depth was -20 per min.
___________________
34. SOLUTION/ANSWER:
-43 - (-34) = -9. The difference between the two is -9.
___________________
35. SOLUTION/ANSWER:
-64.4 + (3.22) = -67.62
Answer: Equals -67.62
___________________
37. SOLUTION/ANSWER:
3.375 = 3 3/8 as a mixed number and 27/8 as an improper fraction.
Answer: 3 3/8 (or 27/8).
___________________
38. SOLUTION/ANSWER:
3 ÷ 5 = 0.6
5 + 0.6 = 5.6
Answer: 5 3/5 = 5.6
____________________
39. SOLUTION/ANSWER:
1.5 + 2.8 = 4.3
Haley jogged 4.3 km that day.
_____________________
I cannot see the other questions. If you can perhaps message them to me I can try to help you! :)
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.
Answer:
x=4 is vertical line it's an undefined slope
The base is the greatest surface area
