Use any variable to rewrite the following sentences to mathematical statements 1. A number multiplied by 5 is equal to the same number increased by 12. 2. The cube root of a number is 6 less than the number itself. 3. A number whose square is smaller than the number itself 4. Twice the sum of two numbers is less the square of the sums of the two numbers 5. The square of the number is equal to the sum of the square of two other numbers

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use any variable to rewrite the following sentences to mathematical statements
1. A number multiplied by 5 is equal to the same number increased by 12.
2. The cube root of a number is 6 less than the number itself.
3. A number whose square is smaller than the number itself
4. Twice the sum of two numbers is less the square of the sums of the two numbers
5. The square of the number is equal to the sum of the square of two other numbers
Use the set-roster notation to indicate the elements in each of the following sets. Use ellipsis (...) if necessary
6. {x EZ-4 < x < 6}
7. {a € Z | 5 > a> - 8.5}
8. {bEZ 4 ≤ b < 8}
9. {CE Z¹}
10. {d € Z d > 1 or d < -1}
List the ordered pairs for the following functions using the given domain. Show complete solution
11. f(x) = x² + 1, with x = {0, 2}
12. g(x) =
1
with x = {-5, 0, 1)
*+1
13. h(x) = 2x + 1, with x = {2, 0, -2}
"
Transcribed Image Text:Use any variable to rewrite the following sentences to mathematical statements 1. A number multiplied by 5 is equal to the same number increased by 12. 2. The cube root of a number is 6 less than the number itself. 3. A number whose square is smaller than the number itself 4. Twice the sum of two numbers is less the square of the sums of the two numbers 5. The square of the number is equal to the sum of the square of two other numbers Use the set-roster notation to indicate the elements in each of the following sets. Use ellipsis (...) if necessary 6. {x EZ-4 < x < 6} 7. {a € Z | 5 > a> - 8.5} 8. {bEZ 4 ≤ b < 8} 9. {CE Z¹} 10. {d € Z d > 1 or d < -1} List the ordered pairs for the following functions using the given domain. Show complete solution 11. f(x) = x² + 1, with x = {0, 2} 12. g(x) = 1 with x = {-5, 0, 1) *+1 13. h(x) = 2x + 1, with x = {2, 0, -2} "
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