Xy=130
y=3+x
x(3+x)=130
x²+3x-130=0
(x+13)(x-10)=0
x= -13 or 10
since the question says X and Y are positive we just dismiss-13
x=10
and y=13
Answer:
the answer is false.
Step-by-step explanation:
Answer: Third option
Step-by-step explanation:
Remember that:
![\sqrt[n]{x^n}=x](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5En%7D%3Dx)
And the Product of powers property:
The expression is:
![\sqrt[4]{\frac{3}{2x}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B3%7D%7B2x%7D%7D)
To simplify this expression, you need to multiply the denominator and the numerator by 
. Then:
![\frac{\sqrt[4]{3}}{\sqrt[4]{2x}}=\frac{\sqrt[4]{3(2^3x^3)}}{\sqrt[4]{2x(2^3x^3)}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3%7D%7D%7B%5Csqrt%5B4%5D%7B2x%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B3%282%5E3x%5E3%29%7D%7D%7B%5Csqrt%5B4%5D%7B2x%282%5E3x%5E3%29%7D%7D)
Simplifiying, you get:
![\frac{\sqrt[4]{3(8x^3)}}{\sqrt[4]{2x(2^3x^3)}}=\frac{\sqrt[4]{24x^3}}{\sqrt[4]{2^4x^4}}=\frac{\sqrt[4]{24x^3}}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B3%288x%5E3%29%7D%7D%7B%5Csqrt%5B4%5D%7B2x%282%5E3x%5E3%29%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B24x%5E3%7D%7D%7B%5Csqrt%5B4%5D%7B2%5E4x%5E4%7D%7D%3D%5Cfrac%7B%5Csqrt%5B4%5D%7B24x%5E3%7D%7D%7B2x%7D)
0.224 is the answer to this question.
Answer:
<h3>
Therefore total amount of money that he got is = $(5+0.50x) [ x = number of correct math]</h3>
Step-by-step explanation:
Given, Gilberto's grandfather gives him $5 for his birthday and then$0.50 for each math he answers correctly on his math exam for the year.
Let , the number of math that he answers correctly on his his math exam for the year is x
Therefore he got = $(0.50× x) =$ 0.50x for doing correct math.
Therefore total amount of money that he got is = $(5+0.50x) [ x = number of correct math]
