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Write it T or F. The coefficient of x ...

Write it T or F. The coefficient of x in 5xy is 5.

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The correct Answer is:
To determine whether the statement "The coefficient of x in 5xy is 5" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the term**: We are given the term \(5xy\). 2. **Understand what a coefficient is**: The coefficient of a variable in a term is the numerical factor that is multiplied by that variable. 3. **Break down the term**: In the term \(5xy\), the numerical factor is \(5\) and the variables are \(x\) and \(y\). 4. **Find the coefficient of \(x\)**: The coefficient of \(x\) in the term \(5xy\) is the product of the numerical factor and any other variables that are multiplied with \(x\). In this case, the coefficient of \(x\) is \(5y\) (since \(5\) is multiplied by \(y\) as well). 5. **Evaluate the statement**: The statement claims that the coefficient of \(x\) is \(5\). However, we found that the coefficient of \(x\) is actually \(5y\). 6. **Conclusion**: Since the coefficient of \(x\) is \(5y\) and not \(5\), the statement is **False**. ### Final Answer: **False**
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Write t for ture and f for false for each of the following: 1. In-x, the constant trem is -1 2. The coefficient of x in x^2-3x+5 is 3. (5x-7)-(3x-5)=2x-12 4. (3x+5y)(3x-5y)=(9x^2-25y^2) 5. If a=2 and b= 1/2 then value of ab(a^2+b^2) is 4.1/4

True/False: In -5xy, the coefficient of x is -5y: the coefficient of y is -5x and the coefficient of xy is -5

Knowledge Check

  • The coefficient of x in -5xyz is

    A
    -5
    B
    5yz
    C
    `-5yz`
    D
    yz
  • Square of (3x - 5xy) is

    A
    `9x ^(2)-30 x ^(2) y + 25 x ^(2) y ^(2)`
    B
    `9x ^(2) - 15 x ^(2) y + 25 x ^(2) y ^(2)`
    C
    `25 x ^(2) - 15 x ^(2) y + 25 x ^(2) y ^(2)`
    D
    `25 x ^(2) - 30 x ^(2) y + 9x ^(2) y ^(2)`
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