How do you factorize x² + 5x + 6?
To factor the quadratic expression x² + 5x + 6, we need to find two numbers that multiply to 6 (the constant term) and add up to 5 (the coefficient of the x term). Looking at the pairs of factors of 6, we have: 1 and 6 2 and 3 The pair that adds up […]
What is the difference between a bar graph and a histogram?
A bar graph and a histogram are both graphical representations of data, but they serve different purposes and display different types of data. A bar graph is used to compare different categories or groups. Each category is represented by a separate bar, and the height of the bar indicates the value or size of that […]
What is 4 to the power of 1?
4 to the power of 1 is simply 4. In mathematical terms, when any number is raised to the power of 1, it is equal to itself. This means that regardless of the base number, whether it’s 4, 10, or 100, when you raise that number to the exponent of 1, the result will always […]
What is minus 10 degrees Fahrenheit in Celsius?
To convert Fahrenheit to Celsius, you can use the formula: C = (F – 32) × 5/9. In this case, you would plug in -10 for F. So, the calculation looks like this: C = (-10 – 32) × 5/9 This simplifies to: C = (-42) × 5/9 When you do the multiplication, you get: […]
Evaluate 1 to the power of 3
To evaluate 1 to the power of 3, we use the concept of exponentiation. When any number is raised to a power, it means that this number is multiplied by itself as many times as indicated by the power. In this case, we have: 13 = 1 × 1 × 1 So, when we multiply […]
What is 10% of 8?
To find 10% of a number, you can simply multiply that number by 0.10. In this case, to calculate 10% of 8, you would do the following: Take the number 8. Multiply it by 0.10 (which is the decimal equivalent of 10%). 8 × 0.10 = 0.8. So, 10% of 8 is 0.8. This calculation […]
What is 4 5 x 4 5 as a fraction?
To solve the expression 4 5 x 4 5, we first need to understand the notation. The numbers 4 and 5 can represent a mixed number, where 4 is the whole number and 5 is the numerator of the fraction part. Thus, 4 5 can be converted to an improper fraction. We convert 4 5 […]
What is the difference between 2cos x and cos 2x?
The expressions 2cos x and cos 2x represent different mathematical concepts and should not be confused with one another. 2cos x is simply two times the cosine of angle x. This means that whatever the cosine value of x is, you just multiply that result by 2. For example, if x is 0 degrees (or […]
What is sin x cos x in terms of sine?
To express sin x cos x in terms of sine, we can use a trigonometric identity. Specifically, we can utilize the double angle formula for sine. The double angle formula states that: sin(2x) = 2sin(x)cos(x) This identity tells us that the sine of double an angle (2x) is equal to two times the product of […]
What is 11 2 as a mixed number?
To convert the improper fraction 11/2 into a mixed number, we need to divide the numerator by the denominator. In this case, we divide 11 by 2. When we perform the division, we find that 11 divided by 2 is 5, with a remainder of 1. This means that 11 can be expressed as: 5 […]