Answer:
<em>x</em> = all real numbers
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
x + 6 = 2(x + 3) - x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add <em>x</em> on both sides: 2x + 6 = 2(x + 3)
- [Distributive Property] Distribute 2: 2x + 6 = 2x + 6
Here we see that both sides are identical.
∴ our solution is all real numbers.
Answer:
y = 2, x = -1
Step-by-step explanation:
2y - 5x = 9
2y = 9+5x
y = (9+5x) /2
4y + 3x = 5
4((9+5x) /2) + 3x = 5
13x + 18 = 5
13x = -13
x = -1
y = (9+5x) /2
y = (9+5(-1)) /2
y = 2
Answer:
-21
Step-by-step explanation:
We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.
First, evaluate f(-3).
f(x)=4x-7
To find f(-3), we need to substitute -3 in for x.
f(-3)= 4(-3)-7
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.
f(-3)= -12-7
Next, subtract 7 from -12
f(-3)= -19
Next, find g(-3).
g(x)=2x+4
To find g(-3), substitute -3 in for x.
g(-3)= 2(-3)+4
Solve according to PEMDAS. First, multiply 2 and -3.
g(-3)= -6+4
Next, add -6 and 4
g(-3)= -2
Now, we can add f(-3) and g(-3) together.
f(-3) + g(-3)
f(-3)= -19
g(-3)= -2
-19 + -2
Add
-21
<span> 1.7676 Feet is the diameter</span>
