The choices are equivalent to the expression correct choices are A, C, and D.
The given expression is
x^3 /5
<h3>
What is the expression?</h3>
The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.
<h3>What is the power rule?</h3>
![a^{\frac{m}{n} =\sqrt[n]{a^m}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%3D%5Csqrt%5Bn%5D%7Ba%5Em%7D)
Therefore the above power rule implies that,
![x^{(\frac{3}{5}) }=\sqrt[5]{x^3}](https://tex.z-dn.net/?f=x%5E%7B%28%5Cfrac%7B3%7D%7B5%7D%29%20%7D%3D%5Csqrt%5B5%5D%7Bx%5E3%7D)
Also, we have the power rule


or it can be written as
![x^{\frac{3}{5} =(\sqrt[5]{x})^3](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B3%7D%7B5%7D%20%3D%28%5Csqrt%5B5%5D%7Bx%7D%29%5E3)
The correct choices are A, C, D.
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Answer: y= -7
Step-by-step explanation:
Zero slope are horizontal lines. Horizontal lines have the equation Y= a number. That number is the y value of the point.
Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
The measure of that angle is 60 degrees. To solve this, first, you set the 2 measures equal to each other, because they are congruent. So your equation is 6x=5x+10. Subtract 5x from both sides, leaving you with x=10. Lastly, substitute 10 for x. You multiply 6 by 10, which equals 60.
45.6 would because it is the closer number to the mean (or average) of all the numbers.