The first option is a function as it passes the vertical line test and as each domain (x value) is paired with exactly one range (y value)
Answer:
x=-3(Negative)
Step-by-step explanation:
complete question:
The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?
Answer:
The original number is 10a + b = 10 × 3 + 5 = 35
Step-by-step explanation:
Let
the number = ab
a occupies the tens place while b occupies the unit place. Therefore,
10a + b
The sum of the digits of two-digits numeral
a + b = 8..........(i)
If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.
Therefore,
10b + a = 18 + 10a + b
10b - b + a - 10a = 18
9b - 9a = 18
divide both sides by 9
b - a = 2...............(ii)
a + b = 8..........(i)
b - a = 2...............(ii)
b = 2 + a from equation (ii)
Insert the value of b in equation (i)
a + (2 + a) = 8
2a + 2 = 8
2a = 6
a = 6/2
a = 3
Insert the value of a in equation(ii)
b - 3 = 2
b = 2 + 3
b = 5
The original number is 10a + b = 10 × 3 + 5 = 35
Answer:
C. Four less than the product of two and a number is less than the product of four and the same number increased by eight.
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Converting expressions to word form
Step-by-step explanation:
<u>Step 1: Define</u>
2x - 4 < 4x + 8
<u>Step 2: Translate</u>
"2x" is the product of two and a number <em>x</em>
" - 4" is four less
"<" is less than
"4x" is the product of four and a number <em>x</em>
" + 8" is increased by 8
<u>Step 3: Combine</u>
The difference between the product of two and a number <em>x</em> and 4 is less than the sum of the product of four and a number <em>x</em> and 8.
<u>Step 4: Reword</u>
Four less than the product of two and a number is less than the product of four and the same number increased by eight.
Answer:
3
Step-by-step explanation:
three
