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To find out how much greater the value of 3 times 5 is compared to 3 times 7, we can start by calculating both expressions: Step 1: Calculate the value of 3 times 5: 3 x 5 = 15 Step 2: Calculate the value of 3 times 7: 3 x 7 = 21 Step 3: … Read more

Absolutely! One great example of a function that meets your criteria is the function: f(x) = 1 / (5 – x) Let’s break this down to understand its domain and range: Domain: The function f(x) is defined for all values of x in the interval [0, 5). The function approaches infinity as x approaches 5, … Read more

The discriminant is a key concept in the study of quadratic equations, providing valuable information about the nature of their roots. For a standard quadratic equation of the form ax² + bx + c = 0, the discriminant (often denoted as D) is calculated using the formula: D = b² – 4ac In the case … Read more

To determine how much each person paid, we first need to find the total bill amount, which we can represent as 1 (or the whole bill). 1. **Calculate the contributions of A and B:** A paid 1/2 of the bill. B paid 1/5 of the bill. 2. **Find their total contributions:** We add the amounts … Read more

To find the exact value of the real number y in the equation y = y \cdot \csc(11^\circ), we first need to understand the relationship between y and the cosecant function. Cosecant is the reciprocal of the sine function, so we can rewrite the equation as follows: y = \frac{y}{\sin(11^\circ)} To simplify this equation, we … Read more

To determine if x + 10 is a factor of the polynomial function f(x) = x³ + 75x + 250, we can use the Factor Theorem. According to this theorem, if x + 10 is a factor, then the function evaluated at x = -10 should equal zero. First, let’s substitute -10 into the function: … Read more

Understanding the Equation The given equation is 3y + 6x + 2 = 0. To find the slope and y-intercept, we need to convert this equation into the slope-intercept form, which is expressed as y = mx + b, where m is the slope and b is the y-intercept. Steps to Rearrange the Equation Start … Read more

A complex number is typically expressed in the form a + bi, where a is the real part and b is the imaginary part. In this case, the complex number is 2 + 5i. Breaking it down: The real part (a) is 2. The imaginary part (b) is 5. Therefore, for the complex number 2 … Read more

The numeral representation for the expression “sixteen crore four lakh fifty thousand three hundred ten” is 16450310. To elaborate: Crore: In the Indian numbering system, one crore is equal to ten million (10,000,000). Therefore, sixteen crore equals: 16 x 10,000,000 = 160,000,000 Lakh: One lakh is equal to one hundred thousand (100,000). Hence, four lakh … Read more