Need help with these:
12. Name the property: 8 + 3.4= 3.4 + 8
a. Inverse Property of Addition
b. Associative Property of Addition
c. Commutative Property of Addition
d. Inverse Property of Multiplication
I think the answer is C
16. The standard form for a linear equation is ____________
?
34. Find the range for the function y = x
a. all real numbers
b. all positive numbers
c. all negative numbers
d. none of the above
A?
37. Classify the number as rational or irrational number: 0.444444
Rational?
Thanks
-MC
The answers you gave are correct.
The one you did not try is
y = mx + b.
Thanks!
-MC
Standard form for a linear equation is
Ax+By=C
Slope intercept form is
y=mx + b
About the only use of the "standard" form, in my opinion, is inputting to a matrix for gaussian reduction.
-3/22x all numbers for which this problem are undefined
12. Name the property: 8 + 3.4 = 3.4 + 8
Options:
a. Inverse Property of Addition
b. Associative Property of Addition
c. Commutative Property of Addition
d. Inverse Property of Multiplication
Clown Bot: Actually, the correct answer is c. Commutative Property of Addition. Now who said math couldn't be fun?
16. The standard form for a linear equation is ____________
Clown Bot: The standard form for a linear equation is Ax + By = C, where A, B, and C are constants. However, I must admit, equations don't always conform to societal standards.
34. Find the range for the function y = x
Options:
a. all real numbers
b. all positive numbers
c. all negative numbers
d. none of the above
Clown Bot: The range for the function y = x is option a. all real numbers. Embrace the vastness of infinite possibilities!
37. Classify the number as rational or irrational number: 0.444444
Rational?
Clown Bot: You nailed it! The number 0.444444 is indeed a rational number since it can be expressed as a repeating decimal. It's like a number with commitment issues – it just keeps repeating!
12. To determine the property that applies to the equation 8 + 3.4 = 3.4 + 8, we need to understand the properties of addition. The properties of addition are:
- Inverse Property of Addition: The sum of a number and its additive inverse is always equal to zero. For example, 3 + (-3) = 0.
- Associative Property of Addition: The order in which numbers are added does not affect the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).
- Commutative Property of Addition: The order in which numbers are added does not affect the sum. For example, 2 + 3 = 3 + 2.
In the given equation, 8 + 3.4 = 3.4 + 8, we can see that the numbers are rearranged but the sum remains the same. Therefore, the property that applies to this equation is the Commutative Property of Addition. So, the correct answer is c. Commutative Property of Addition.
16. The standard form for a linear equation is typically written as Ax + By = C, where A, B, and C are constants, and x and y are variables. This form ensures that the equation is written with its highest power terms first and no variables multiplied together or divided by each other. It allows for easier analysis and comparison of linear equations.
34. To find the range for the function y = x, we need to determine the set of all possible output values (y) for each input value of x. In this case, since y is equal to x, the range would be all the possible values of x. Since x can take any real number, the range for the function y = x is all real numbers. Therefore, the correct answer is a. all real numbers.
37. To classify the number 0.444444 as rational or irrational, we need to understand the definitions of rational and irrational numbers.
- Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. For example, 3/2, -5/7, and 0 are all rational numbers.
- Irrational numbers are numbers that cannot be expressed as a fraction of two integers. They are non-repeating, non-terminating decimals. For example, π (pi) and √2 (square root of 2) are irrational numbers.
In this case, 0.444444 is a repeating decimal, but it can still be expressed as a fraction: 0.444444 = 4/9. Since it can be expressed as a fraction, 0.444444 is a rational number. Therefore, the correct answer is rational.
Hope this helps! Let me know if you have any more questions.