When you say 1 over 3, you are basically saying 1 divided by 3, or expressed as a rational number:
. in our rational number the denominator is 1, and the numerator is 3
Now, a rational expression is an algebraic expression in a rational for. If we apply the same to your problem. 4 over x-3 means 4 divided by x-3, or in mathematical notation:
. In this case, the numerator is 4, and the denominator is
.
We can conclude that the equivalent rational expression of <span>4 over x - 3 is </span>
.
The answer is: [C]: "30%" .
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Explanation:
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Note that: "%" ; or "percent" means "out of 100" ; or "divided by 100" .
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Method 1)
15/50 = ?/ 100 ;
Look at the denominators:
50 * (what value?) = 100 ? ; → "100 ÷ 50 = 2" ;
→ 50 * 2 = 100 ;
So: "15/50 = (15*2)/(50*2) = "30/100" ; which is "30%" .
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Method 2:
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"15/50" = (15÷5) / (50÷5) = 3/10 ;
3/10 = (3*10) / (10*10) = 30/100 ; which is: "30%" .
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Method 3: (slight variation of "Method 2" above):
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"15/50" = (15÷5) / (50÷5) = 3/10 ;
3/10 = 0.3 = 0.30 = (0.30 * 100) % = " 30% " .
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Answer: ![3x^2y\sqrt[3]{y}\\\\](https://tex.z-dn.net/?f=3x%5E2y%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C)
Work Shown:
![\sqrt[3]{27x^{6}y^{4}}\\\\\sqrt[3]{3^3x^{3+3}y^{3+1}}\\\\\sqrt[3]{3^3x^{3}*x^{3}*y^{3}*y^{1}}\\\\\sqrt[3]{3^3x^{2*3}*y^{3}*y}\\\\\sqrt[3]{\left(3x^2y\right)^3*y}\\\\\sqrt[3]{\left(3x^2y\right)^3}*\sqrt[3]{y}\\\\3x^2y\sqrt[3]{y}\\\\](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27x%5E%7B6%7Dy%5E%7B4%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B3%2B3%7Dy%5E%7B3%2B1%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B3%7D%2Ax%5E%7B3%7D%2Ay%5E%7B3%7D%2Ay%5E%7B1%7D%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5E3x%5E%7B2%2A3%7D%2Ay%5E%7B3%7D%2Ay%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cleft%283x%5E2y%5Cright%29%5E3%2Ay%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cleft%283x%5E2y%5Cright%29%5E3%7D%2A%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C3x%5E2y%5Csqrt%5B3%5D%7By%7D%5C%5C%5C%5C)
Explanation:
As the steps above show, the goal is to factor the expression under the root in terms of pulling out cubed terms. That way when we apply the cube root to them, the exponents cancel. We cannot factor the y term completely, so we have a bit of leftovers.
Answer:
The y intercept, (0,400) represents the amount of money the radio station originally had. The x-intercept, (8,0), represents the amount of weeks it will take for the radio station to have $0 left.
Step-by-step explanation:
Answer:
3x+8=68 degrees
6x-8= 112 degrees
Step-by-step explanation:
3x+8+6x-8=180
9x=180
x=20
3*20+8=68
6*20-8=112
