devyy The expression 7×3 + 2×2 + 9x + 1 can be classified based on the number of terms it contains: Monomial: An expression with only one term. For example, 5×2 is a monomial. Binomial: An expression with exactly two terms. An example would be 3x + 4. Trinomial: This is an expression that consists of … Read more
Finding the Volume of Revolution To find the volume of the solid formed by revolving the region bounded by the curves y = x³ + x² and y = 1 around the y-axis, we can use the method of cylindrical shells. 1. Identify the Region First, let’s determine the intersection points of the two curves. … Read more
To solve for the radius of a cylinder with a height that is twice its radius and a lateral area of 16π square units, we can start by recalling the formula for the lateral area of a cylinder: Lateral Area = 2πrh In this formula: r is the radius of the cylinder h is the … Read more
To determine the discount on a mini laptop computer that’s priced at $450 with a 40% off deal, you can follow these steps: 1. **Calculate 40% of $450:** To find the discount amount, you need to multiply the original price by the percentage discount (in decimal form). Thus: Discount = Original Price × Discount Percentage … Read more
To understand the relationship between the functions, let’s first clarify what an odd function is. A function g(x) is considered odd if it satisfies the condition: g(-x) = -g(x) for all x in its domain. This means that the graph of an odd function is symmetric about the origin. Now, if we have another function … Read more
To find the angle measure indicated when dealing with tangent lines, we can apply several geometric principles associated with circles and tangents. First, let’s consider the basic properties of tangent lines. A tangent line to a circle is a line that touches the circle at exactly one point. This point is called the point of … Read more
To determine the values of cos(x) and tan(x) when sin(x) is given as 12, we first need to clarify an important aspect: the sine function, sin(x), ranges from -1 to 1 for all real values of x. This means that sin(x) cannot equal 12 because it exceeds the maximum possible value. Therefore, in standard mathematics, … Read more
Understanding Metric Units Metric units are a standardized system of measurement that is used globally, allowing for easy communication and understanding, especially in scientific and mathematical contexts. These units are based on the meter, kilogram, and liter, which serve as the basis for most metric measurements. Key Metric Units Length: The meter (m) is the … Read more
To define a recursive rule for the geometric sequence 10, 80, 640, 5120, we must first recognize the pattern of the sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant factor, which is called the common ratio. In this case, we can determine the common ratio by … Read more
Finding Solutions to the Equation To solve the equation cos(x) * cos(3x) * sin(x) * sin(3x) = 0, we need to find the values of x that make the product equal to zero. Since we’re dealing with a product of several trigonometric functions, we can apply the zero product property, which states that if a … Read more