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
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28. SOLUTION/ANSWER:
STEP 1: 12.40 - 0.72 = 11.68
STEP 2: 11.68/2 = 5.84
Answer: Each souvenir cost $5.84.
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29. SOLUTION/ANSWER:
(-68) - 214 = -282
Answer: The lowest elevation in California is -282 feet.
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33. SOLUTION/ANSWER:
60/3 = 20
Answer: The diver's change in depth was -20 per min.
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34. SOLUTION/ANSWER:
-43 - (-34) = -9. The difference between the two is -9.
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35. SOLUTION/ANSWER:
-64.4 + (3.22) = -67.62
Answer: Equals -67.62
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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).
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38. SOLUTION/ANSWER:
3 ÷ 5 = 0.6
5 + 0.6 = 5.6
Answer: 5 3/5 = 5.6
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39. SOLUTION/ANSWER:
1.5 + 2.8 = 4.3
Haley jogged 4.3 km that day.
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I cannot see the other questions. If you can perhaps message them to me I can try to help you! :)
Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
y=8
Step-by-step explanation:
Point slope is y2-y1 over x2-x1
So its 8-(-6) over 8-8 which equals 14/0 which means the equation of the line is y=8
This is a horizontal line on 8 on the y axis
Answer:
The value of x is ![2\sqrt[3]{2}](https://tex.z-dn.net/?f=2%5Csqrt%5B3%5D%7B2%7D)
Step-by-step explanation:
We are given 
We need to solve for x
First we subtract 2 both sides
Taking cube roots both sides to isolate x
![x=\sqrt[3]{16}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B3%5D%7B16%7D)
Simplify the radical
![x=2\sqrt[3]{2}](https://tex.z-dn.net/?f=x%3D2%5Csqrt%5B3%5D%7B2%7D)
Thus, The value of x is
