If fx = 5x + 40, what is fx when x = 5?
To find the value of fx when x is 5, we simply need to substitute 5 into the equation fx = 5x + 40. So, we calculate: fx = 5(5) + 40 This simplifies to: fx = 25 + 40 Therefore: fx = 65 In conclusion, when x = 5, fx equals 65.
What is the formula of 1 – cos x sin x?
The expression you’re referring to, 1 – cos(x) sin(x), involves trigonometric functions. To understand its significance, let’s break it down. First, we have cos(x) and sin(x), which are the cosine and sine functions of an angle x, respectively. The product of these two functions, cos(x) sin(x), generates a new expression that can be evaluated or […]
What is the middle term of the product of x and 5x^2?
To find the middle term of the product of the two expressions, we first need to clarify what we are dealing with. The product mentioned is between the terms x and 5×2. When we multiply these two terms together, we get: x * 5×2 = 5×3 The expression 5×3 is a single term in polynomial […]
If a polynomial has three terms x² + 12x + 36, which factoring method can be considered?
To factor the polynomial x² + 12x + 36, we can recognize that it is a trinomial in the standard form of ax² + bx + c. In this case, we have: a = 1 b = 12 c = 36 One effective method for factoring a trinomial is to look for two numbers that […]
For the function f(x) = x² + 5, what is the range of the function when the domain is {2, 4, 7}?
To find the range of the function f(x) = x² + 5 for the specified domain values of 2, 4, and 7, we will calculate the output of the function for each of these x-values. 1. For x = 2: f(2) = 2² + 5 = 4 + 5 = 9 2. For x = […]
How to Find the Center of a Circle When Given Three Points
To find the center of a circle given three points that lie on its circumference, you can use the following step-by-step geometric method: Label the Points: Let’s call the three points A, B, and C. Find the Midpoints: Calculate the midpoints of the line segments AB and BC. The midpoint M1 of segment AB can […]
What is the prime factorisation of 729?
The prime factorisation of 729 is 36. To find the prime factorisation, we can start by dividing 729 by the smallest prime number, which is 3: 729 ÷ 3 = 243 243 ÷ 3 = 81 81 ÷ 3 = 27 27 ÷ 3 = 9 9 ÷ 3 = 3 3 ÷ 3 = […]
Which property of real numbers is shown below: 3 + 5 = 6 + 3 + 5 + 6?
The property of real numbers demonstrated here is the Commutative Property. The Commutative Property states that the order in which two numbers are added or multiplied does not change the sum or the product. In simpler terms, a + b = b + a for any real numbers a and b. In the example provided, […]
How many centimeters make a meter?
A meter is equivalent to 100 centimeters. This is based on the metric system, which is a decimal-based system of measurement. The meter is the primary unit of length in the metric system, and the centimeter is a subunit of the meter. To understand this, consider that the prefix ‘centi-‘ in the word centimeter denotes […]
What’s the probability of an impossible event?
The probability of an impossible event is 0. To understand why, let’s first define what we mean by an impossible event. An impossible event is an outcome that cannot occur under any circumstances. For example, if we consider the probability of rolling a 7 on a standard six-sided die, that is an impossible event because […]