y = 6 x 2 − 15 x + 6 we need to set y equal to zero and solve for x. This leads us to the equation: 6 x 2 − 15 x + 6 = 0 To solve this quadratic equation, we can either factor it or use the quadratic formula, which is given by: x = 2 a − b ± b 2 − 4 a c where a = 6, b = − 15, and c = 6. Let's calculate the discriminant first: b 2 − ...

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1月2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 ...

The equivalent expression to x − 6 15 + x + 6 7 is x 2 − 36 22 x + 48 , which corresponds to option D. Adding the fractions involves finding a common denominator and simplifying the numerator. Therefore, the correct answer is D.

2024年4月20日 · 420 = 25 x + 15 × 3 x we will follow these steps: Start with the original equation: 420 = 25 x + 15 × 3 x. Multiply 15 with 3 x: 420 = 25 x + 45 x. Combine like terms (i.e., combine the x terms): 420 = (25 + 45) x which simplifies to: 420 = 70 x. Divide both sides by 70 to isolate x: x = 70 420 Calculate the value of x: x = 6. Thus, the ...

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 ...

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

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 …

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:

2017年6月1日 · According to the wording of the problem, "6 less than a number" means we take the number (represented by x) and subtract 6 from it. This can be mathematically represented as: x − 6 This expression indicates that we are reducing x by 6. Now, since we know that this expression equals 15, we can set up the equation: x − 6 = 15. So, the ...