Answer:
C: ![-7ab \sqrt[3]{3ab^{2} }](https://tex.z-dn.net/?f=-7ab%20%5Csqrt%5B3%5D%7B3ab%5E%7B2%7D%20%7D)
Step-by-step explanation:
Simplify or expand:
![2ab\sqrt[3]{192ab^{2} } - 5\sqrt[3]{81a^{4} b^{5} }](https://tex.z-dn.net/?f=2ab%5Csqrt%5B3%5D%7B192ab%5E%7B2%7D%20%7D%20-%205%5Csqrt%5B3%5D%7B81a%5E%7B4%7D%20b%5E%7B5%7D%20%7D)
Transform the expression:
![2ab\sqrt[3]{4^{3}*3ab^{2} }](https://tex.z-dn.net/?f=2ab%5Csqrt%5B3%5D%7B4%5E%7B3%7D%2A3ab%5E%7B2%7D%20%20%7D)
- ![5\sqrt[3]{3^{3}*3a*ab^{3} b^{2} }](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B3%5E%7B3%7D%2A3a%2Aab%5E%7B3%7D%20b%5E%7B2%7D%20%20%7D)
Re-write
Multiply
Combine like terms.
Answer:
a = -2
h = -1
k = -6
Step-by-step explanation:
This is called the vertex form of a quadratic:
y = a(x – h)2 + k
To arrive at the answer, simply locate where each variable would be in place of the number.
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Answer:
1) y = 2/3x - 2
2) y = -1/2x + 3
Step-by-step explanation:
1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.
y = 2/3x + c
0 = 2/3(3) + c
0 = 2 + c
0 - 2 = c
- 2 = c
Therefore, the slope-intercept form for the first part is y = 2/3x - 2.
2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.
y = -1/2x + c
1 = -1/2(4) + c
1 = -2 + c
1 + 2 = c
3 = c
Therefore, the slope-intercept form for the second part is y = -1/2x + 3.
Answer:
he most popular color is .
blue
The least popular color is .
purple
There are 30 students in Paul’s class.
That means that students voted for green. 3
Step-by-step explanation:
its right ,i did it.
Answer:
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
Step-by-step explanation:
Let x represent the speed of the side walk and y represent her walking speed
It takes Jason's 8-year-old daughter Josie 44 sec to travel 176 ft walking with the sidewalk
Distance = speed × time
176 = (x+y)×44
44x+44y = 176
x+y = 4 .......1
It takes her 7 sec to walk 21 ft against the moving sidewalk in the opposite direction).
21 = (y-x)7
7y - 7x = 21
y - x = 3 ......2
Add equation 1 to 2
2y = 7
y = 3.5 ft/sec
From equation 1
x + y = 4
x = 4 - 3.5 = 0.5
x = 0.5 ft/sec
The sidewalk moves at 0.5 ft/sec
Josie's speed walking on a non-moving ground is 3.5ft/sec
