Mar 31, 2025 · For example, using the expression (5 x)7, we see that taking the square root first and then raising to the power of 7 returns us to the original exponent of 1.4.

Jul 21, 2020 · To simplify the expression x5 ⋅ x7, you can use the property of exponents that states: when multiplying two expressions with the same base, you add the exponents. This can be …

Dec 12, 2023 · To expand and simplify the expression 5(x + 7) + 2(3x − 4), we first distribute the coefficients, resulting in 11x + 27. The key steps are distributing and then combining like terms.

May 27, 2025 · Final Answer Therefore, the solutions to the absolute value equation 5∣x − 7∣ = 40 are x = 15 and x = −1. Examples Absolute value equations are useful in many real-world scenarios, such …

Aug 13, 2025 · Add 7 to both sides of the equation: 5x2 + 20x = 7. Factor out 5: 5(x2 + 4x) = 7. Complete the square: 5(x2 + 4x + 4) = 7 + 20. Take the square root: x + 2 = ± 527 . Explanation …

Jul 31, 2025 · For example, if a store charges a base fee of $7 plus $5 for each product, and your total is $22, solving the given equation helps determine how many products you purchased, represented by x.

Jan 18, 2013 · A typical 5x7 photo print weighs around 0.4 to 0.5 ounces, while a standard envelope for that size picture adds approximately 0.5 ounces. Therefore, the total weight of a 5x7 picture and …

Apr 28, 2025 · Expand the right side: 7(x +1) = 7x + 7. The equation now is: 8x −5 = 7x + 7. Step 2: Isolate the variable. Subtract 7x from both sides to eliminate x on the right side: 8x −7x − 5 = 7, which …

May 17, 2016 · The solution to the inequality 5 > x + 7 is x < -2. Therefore, the correct answer is B: {x | x ∈ ℝ, x < -2}. This indicates that x can be any value less than -2.

Dec 3, 2024 · Let's expand and simplify the expression (3x + 5)(x +7). Step 1: Apply the distributive property (FOIL method) To expand the expression, we will apply the FOIL method, which stands for: …