Hey there!
<u>-3 and 1 will both be farther to the right on the number line.</u>
On a number line, the farther right you go, the higher the values get.
Positive numbers are to the right of zero, with negative numbers to the left.
Since both -3 and 1 are larger than -7, they will be farther to the right.
Hope this helps!
3:1
Basicaly if you divide the x colome by the y colome it shows that every 3 rented-days equals $1
Sorry for the bad spelling
Step-by-step explanation:
We can write this word problem as two variables. Let us assume that:
x = Natalie's age
y = Fred's age
The first part of the word problem is that "If you add Natalie's age and Fred's age, the result is 39." Therefore:
Natalie's age + Fred's age = 39
x + y = 39
This will be our first equation. The second equation can be derived from the statement that "If you add Fred's age to 4 times Natalie's age, the result is 78." Therefore:
(4 times Natalie's age) + Fred's age = 78
4x + y = 78
We can now form a system of equations and solve for both x and y:
The simplest way to solve would be using the Substitution method, as seen here:
x + y = 39
y = 39 - x
4x + y = 78
4x + (39 - x) = 78
3x + 39 = 78
3x = 39
x = 13
x + y = 39
13 + y = 39
y = 26
Remember that x = Natalie's age and y = Fred's age. Therefore, Natalie's age is 13 years old and Fred's age is 26 years old.
Answer:
42
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
2x³ - x² - 4x + 9
x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: 2(3)³ - 3² - 4(3) + 9
- Exponents: 2(27) - 9 - 12 + 9
- Multiply: 54 - 9 - 12 + 9
- Subtract: 45 - 12 + 9
- Subtract: 33 + 9
- Add: 42
10x + 9
because the -6x and positive 6x cancel out and all you have left is 2+2+5 and 10x