What is the solution to the equation 9x = 27?
To solve the equation 9x = 27, we need to isolate the variable x. First, we can divide both sides of the equation by 9: x = 27 / 9 Calculating the right side gives us: x = 3 So the solution to the equation 9x = 27 is x = 3. This means that […]
How to Write 815642120 in Words in the International System?
815,642,120 in words is Eight hundred fifteen million, six hundred forty-two thousand, one hundred twenty. To break it down: The first part, Eight hundred fifteen million, comes from the 815 in the millions place. The next part, Six hundred forty-two thousand, is derived from the 642 in the thousands place. Finally, the one hundred twenty […]
The sum of the angles in a convex 10 sided polygon is
The sum of the interior angles in a convex polygon can be calculated using the formula: Sum of interior angles = (n – 2) × 180° where n is the number of sides in the polygon. For a convex polygon with 10 sides: Sum of interior angles = (10 – 2) × 180° = 8 […]
Toss a Coin 5 Times: What is the Probability of Getting Exactly 2 Tails?
To find the probability of getting exactly 2 tails when tossing a coin 5 times, we can use the binomial probability formula. The binomial formula is expressed as: P(X = k) = C(n, k) * p^k * (1 – p)^(n – k) Where: P(X = k) is the probability of getting exactly k successes (in […]
What are the approximate solutions of 2x² + 7x + 3 rounded to the nearest hundredth?
To find the approximate solutions of the quadratic equation 2x² + 7x + 3, we can use the quadratic formula, which is given by: x = (-b ± √(b² – 4ac)) / 2a In this equation, a = 2, b = 7, and c = 3. Let’s substitute these values into the formula: x = […]
Factor Completely: 2x² + 2x – 24 + 2x + 3x + 4 + 2x + 6x + 4 + 2x + 3x + 8 + 2x + 4x + 6
Let’s simplify the expression step by step. First, we combine like terms: 2x² (the x² term) 2x + 2x + 3x + 2x + 6x + 4x + 2x + 3x = 22x (the x term) We have a constant term: -24 + 4 + 6 + 8 = -6 This gives us: 2x² + […]
What value of x is in the solution set of 8x + 6 = 12 + 2x?
To solve the equation 8x + 6 = 12 + 2x, we start by isolating the variable x on one side of the equation. First, let’s get all the terms involving x on one side. We can do this by subtracting 2x from both sides: 8x – 2x + 6 = 12 This simplifies to: […]
What substitution should be used to rewrite 4x^12 + 5x^6 + 14 = 0 as a quadratic equation?
To rewrite the equation 4×12 + 5×6 + 14 = 0 as a quadratic equation, we can use a substitution method that simplifies the terms. A suitable substitution in this case is to let y = x6. Using this substitution, we can express the equation in terms of y: Since x12 = (x6)2 = y2, […]
What is the equation of a parabola with a vertex at (2, 0)?
The equation of a parabola with a vertex at the point (h, k) can be expressed in the vertex form: y = a(x – h)² + k In this case, our vertex is at (2, 0), meaning h = 2 and k = 0. Substituting these values into the vertex form gives us: y = […]
How do you find the x and y intercept of the line 3x + 9y = 18?
To find the x and y intercepts of the line given by the equation 3x + 9y = 18, we will tackle each intercept separately. X-Intercept The x-intercept is the point where the line crosses the x-axis. At this point, the value of y is 0. To find the x-intercept, we set y = 0 […]