Answer:
x = 2/5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
5x = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide 5 on both sides: x = 2/5
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 5(2/5) = 2
- Multiply: 2 = 2
Here we see that 2 does indeed equal 2.
∴ x = 2/5 is the solution to the equation.
Well, a yard is equal to 36 inches.
One foot and three inches is equal to 15 inches.
36 - 15 = 21
Hope this helps! :D
Check the picture below
so.. hmm notice the center h,k and the major and minor axis components, thus just plug them in.
Answer:
15, 22, 88
Step-by-step explanation:
I assume you mean the second number is 7 more than the first. Write the system of equations:
x + y + z = 125
y = x + 7
z = 4y
Substitute the third equation into the first.
x + y + 4y = 125
x + 5y = 125
Substitute the second equation.
x + 5(x + 7) = 125
6x + 35 = 125
6x = 90
x = 15
Solve for the other variables.
y = 22
z = 88
Answer:
C) f(x)= 682 • 0.95^x
Step-by-step explanation:
The formula for Exponential Decrease is given as:
y = a(1 - r)^x
Where
y = f(x)
a = Initial size of the population = 682
r = Growth rate = 5% = 0.05
x = Time is years
Therefore, our equation can be written as:
f(x) = 682 × (1 - 0.05)^x
f(x) = 682 × (0.95)^x
Therefore, the exponential function that models this situation x months after the initial month is
option C)
f(x) = 682 • 0.95^x
