How to Completely Factor the Expression 25x² – 36 – 25x + 6x + 6 – 25x + 6x + 6 – 5x + 6 – 5x + 6?
To factor the given expression completely, we start by simplifying it. The expression can be rewritten by combining like terms: 25x² – 25x + 6x – 25x + 6 + 6 – 5x + 6 – 5x + 6 After combining the x terms, we have: 25x² – 25x – 5x + 6 + 6 […]
What is an integer that is not a whole number?
An integer that is not a whole number is a negative integer. Whole numbers are defined as all non-negative integers, which include zero and positive integers (0, 1, 2, 3, …). However, negative integers such as -1, -2, -3, etc., fall outside the category of whole numbers because they are less than zero. In essence, […]
What is 60 of 90?
To find 60 of 90, you can use a simple multiplication formula. In this case, ‘of’ typically implies multiplication in mathematical terms. So, you would calculate: 60% of 90 can be calculated as: 60% = 60/100 = 0.6 Now, multiply that by 90: 0.6 × 90 = 54 Therefore, 60 of 90 is 54. This […]
For what values of x is x² – 2x – 24 = 0 true?
To find the values of x for the equation x² – 2x – 24 = 0, we need to factor or use the quadratic formula. First, let’s try to factor the quadratic. We are looking for two numbers that multiply to -24 (the constant term) and add up to -2 (the coefficient of x). The […]
What is 25 of 30?
To find out what 25 of 30 is, we need to calculate the percentage. The phrase ’25 of 30′ generally refers to finding 25 percent of 30. Here’s how you can calculate it: First, convert the percentage into a decimal. This is done by dividing the percentage by 100: 25 ÷ 100 = 0.25 Next, […]
Is sin(0) equal to cos(90) and for what reason?
Yes, sin(0) is indeed equal to cos(90), and here’s why. In trigonometry, the sine and cosine functions are related to the angles in a right triangle. Specifically: sin(0) represents the sine of 0 degrees, which is the ratio of the opposite side to the hypotenuse in a right triangle. Since there is no opposite side […]
What is the factored form of 6x² + 11x + 10?
The factored form of the quadratic expression 6x² + 11x + 10 can be found by using the method of factoring by grouping or by inspection. First, we need to look for two numbers that multiply to the product of the coefficient of x² (which is 6) and the constant term (which is 10). This […]
What is 10 to the 10th power?
10 to the 10th power, written as 1010, is a way of expressing the number 10 multiplied by itself 10 times. In simpler terms, it’s equal to: 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 When you calculate this, the value becomes 10,000,000,000. This […]
Can You Find the Cube Root of a Negative Number?
Yes, you can find the cube root of a negative number. In fact, every real number, whether positive or negative, has a unique cube root. The cube root of a number is a value that, when multiplied by itself twice (three times in total), gives you that number. For negative numbers, this means that the […]
Which equation is true for x = 6 and x = 2?
To determine which equation is true for the values of x, we first need to identify potential equations we might want to evaluate with the given values. Let’s consider a simple linear equation, like 2x + 4. We can substitute x with 6 and then with 2 to see if the equation holds true: For […]