devyy To find the vertex of the quadratic equation in the form of y = ax² + bx + c, we use the vertex formula. The x-coordinate of the vertex can be calculated using the formula: x = -b / (2a) For the given equation, y = 3x² + 12x + 5, we identify: a = … Read more
To find the angles of triangle ABC given the relationships between the angles, let’s denote the measures of the angles as follows: Let angle A = x Let angle B = y Let angle C = z According to the problem, we have the following relationships: 3A = 4B = 6C We can express angles … Read more
To simplify the expression 3/(2x – 5) – 21/(8×2 – 14x – 15), we first need to factor the quadratic in the denominator of the second fraction. 1. **Factor the denominator**: The expression 8×2 – 14x – 15 can be factored. To do this, we look for two numbers that multiply to 8 imes -15 … Read more
To determine whether the series is convergent or divergent, we first need to identify the type of series we are dealing with. A geometric series has the general form: a, ar, ar², ar³, … where a is the first term and r is the common ratio between consecutive terms. For a geometric series to converge, … Read more
To find the value of f when x = 18 in the function f(x) = (5x + 1) / 2, we need to substitute 18 in for x in the equation. Here are the steps to solve it: Start with the function: f(x) = (5x + 1) / 2 Substitute x = 18: f(18) = … Read more
To convert 10000 paise into rupees, you simply need to divide the number of paise by 100. This is because 1 rupee is equal to 100 paise. Here’s the calculation: 10000 paise ÷ 100 = 100 rupees Therefore, 10000 paise is equivalent to 100 rupees.
To find the equation of a line when you know its slope and y-intercept, you can use the slope-intercept form, which is expressed as: y = mx + b In this equation: y represents the dependent variable (the value of y at a given x). m is the slope of the line. x is the … Read more
To find the horizontal asymptote of the function f(x) = 3/(5x), we need to analyze the behavior of this function as x approaches infinity (both positively and negatively). A horizontal asymptote represents a line that the graph of a function approaches but does not necessarily cross as x tends towards infinity or negative infinity. 1. … Read more
The turning point of a quadratic function given by the equation f(x) = ax² + bx + c can be found using the vertex formula. The vertex represents either the maximum or minimum point of the parabola, depending on the direction it opens. For the function in question, f(x) = x² + 3x + 1, … Read more
To determine the coefficient of the variable in the expression 4 + 3x + 7 + 6, we first need to understand what a coefficient is. A coefficient is a numerical factor that multiplies a variable. In this case, the variable is x. Now, let’s simplify the expression: 4 + 3x + 7 + 6 … Read more