2022年9月24日 · x − 7 = 0; x − 5 = 0; Now, we can solve each equation for x: From the first equation: x − 7 = 0 x = 7. From the second equation: x − 5 = 0 x = 5. Thus, the two solutions to the equation (x − 7) (x − 5) = 0 are: x = 5 and x = 7. This is a straightforward application of the zero-factor property, which is a key concept in algebra.

2016年5月10日 · Understanding the Function: The function f (x) = 5 x − 7 consists of an exponential function 5 x and a constant − 7. Exponential functions are defined for all real numbers. This means you can plug in any real number for x. Exponential Function Behavior: The graph of 5 x will never touch or cross the x-axis, and it will always be positive ...

2023年11月6日 · The student is asking which polynomial function has a leading coefficient of 1 and roots (7+ i) and (5-). -). Remember, complex roots in polynomials with real coefficients always come in conjug

2015年6月30日 · To simplify (x+5)(x-7), multiply the first, outer, inner, and last terms and combine like terms to get x^2 - 2x - 35. To simplify the expression (x+5)(x-7), you need to apply the distributive property, also known as the FOIL method, which stands for First, Outer, Inner, Last.

2020年12月3日 · Therefore, the expression 5 times (x minus 7) aligns perfectly with choice D. Thus, the correct choice is D: The product of a number and a difference. In summary, the multiplication of the number 5 with the difference formed by the expression (x - 7) clearly defines this mathematical operation as the product of a number and a difference.

2017年2月13日 · Start with the expression: 5 (x + 7). Distribute 5 to both x and 7: Multiply 5 by x: 5 × x = 5 x; Multiply 5 by 7: 5 × 7 = 35; Combine the results from both multiplications: 5 (x + 7) = 5 x + 35. Therefore, the equivalent expression is 5 x + 35. Out of the answer choices provided: A. 5 x + 12 B. 5 x + 35 C. 5 x + 7 D. 40 x. The correct answer ...

2019年2月27日 · To find an expression equivalent to the expression 5 (x + 7), we can use the distributive property, which says to multiply each term inside the parentheses by the term outside. Step 1: Write down the expression. 5 (x + 7) Step 2: Apply the distributive property. This means we multiply 5 by both x and 7: 5 ⋅ x + 5 ⋅ 7. Step 3: Perform the ...

For example, if you substitute x = 1 into the expression 4x^2 + 9x + 23, it simplifies to 4(1)^2 + 9(1) + 23 = 4 + 9 + 23 = 36, illustrating the evaluation of the simplified expression. The simplification process follows distribution and combination rules in polynomial algebra, which are universally accepted and validated through algebraic ...

2020年9月12日 · The** distributive property **allows us to multiply each term inside the parentheses by the term outside the parentheses. In this case, the expression is (x+5)(x-7). To apply the distributive property, you would multiply x by both (x-7) and 5 by (x-7). This results in x(x-7) + 5(x-7). Simplifying further gives x² - 7x + 5x - 35.

2018年11月16日 · For Case 2: x − 5 = − 3 x = 2 Conclude : The values of x for which f ( x ) = 15 are x = 2 and x = 8 . Therefore, the answer is: A. x = 2 , x = 8 .