2023年2月13日 · The axis of symmetry for the function f (x) = − (x + 9) (x − 21) is calculated by rewriting it in standard form and applying the formula x = − 2 a b . The axis of symmetry is thus x = 6 , corresponding to option C.

2023年6月24日 · The expression 7 x + 6 15 x − 6 can be factored to yield 7 x + 6 3 (5 x − 2) while ensuring that no denominator equals zero. The value x = − 7 6 must be excluded to keep the expression valid. Thus, the simplified form is valid except for this restriction on x.

To combine the fractions x − 6 15 + x + 6 7 into a single expression, we first need to find a common denominator. The denominators are x − 6 and x + 6, and the common denominator will be their product, which is (x − 6) (x + 6) = x 2 − 36. Now, we need to rewrite each fraction to have this common denominator:

2024年1月3日 · The expression 15/x-6 + 7/x+6 can be simplified by finding a common denominator and combining the two fractions. The common denominator for the fractions x-6 and x+6 is their product, which is (x-6)(x+6). To find the equivalent expression, we multiply the numerator and denominator of each fraction by the missing factor to create equivalent ...

2024年10月17日 · 6 x = 15. Here, 6 represents the number of plants and x is the cost of one plant. The equation states that 6 times the cost of one plant equals $15. To find the cost of each plant x, we can solve this equation: Start with the equation: 6 x = 15; Divide both sides by 6 to isolate x: x = 6 15 Simplify the fraction: x = 2.5; Therefore, the cost of ...

2024年9月25日 · To simplify the expression x 2 − 2 x − 24 3 x 2 − 3 x − 60 ÷ 6 x − x 2 3 x 2 − 15 x , we will follow several steps. Step 1: Convert Division to Multiplication When dividing by a fraction, we multiply by the reciprocal of that fraction.

2021年3月4日 · Therefore: 15 4 × 1 6 = 15 × 1 4 × 6 = 15 24 Simplifying the Result: Now we need to simplify 15 24 . Both the numerator and the denominator can be divided by their greatest common divisor, which is 3: 15 ÷ 3 24 ÷ 3 = 5 8 Thus, the simplified result of …

2024年10月31日 · To find the intercepts of the line given by the equation 15 x + 6 y = 30, follow these steps: 1. Find the x-intercept: The x-intercept occurs where the line crosses the x-axis. At this point, the value of y is 0. So, set y = 0 in the equation and solve for x: 15 x + 6 (0) = 30. This simplifies to: 15 x = 30. Now, solve for x by dividing both ...

2018年11月29日 · The Equation is 15 x + 6 = 14 x + 5. now By the steps brandon used let us solve the question. Step 1 : Add 14 negative x tile to both sides. which will make the equation . 15x + 6 - 14x = 14x + 5 - 14 x. x + 6 = 5 .....(ii) Step 2: Add 5 negative unit tiles to both sides of equation (ii) which will make the equation . x +6 - 5 = 5 - 5. x + 1 ...

2020年11月27日 · Start with the original inequality: x − 9 > − 15. Add 9 to both sides of the inequality to isolate x: x − 9 + 9 > − 15 + 9 x > − 6. So the solution to the inequality is x > − 6. This means that x can be any number greater than -6. Since the question presents multiple-choice options, the correct answer is: A. x > − 6