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.
Answer:
If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) = 3h
Step-by-step explanation:
Given ƒ(x ) = 3x + 1, then to calculate ƒ(a + h ) - ƒ(a ), you need to replace "x" for (a + h) and a, respectively.
So...
f(a +h) = 3(a + h) + 1
and
f(a) = 3a + 1
Then
ƒ(a + h ) - ƒ(a ) = 3 (a + h) + 1 - [3a +1] = 3a + 3h + 1 - 3a - 1 = 3h.
So, ƒ(a + h ) - ƒ(a ) = 3h
Answer:
37.5 Miles Per Gallon
Step-by-step explanation:
The Mileage of a car is the total number of miles driven divided by the total number of gallons (liters) of gas used.
For this problem, the units is miles per gallon
Allison can drive 450 miles with 12 gallons of gas. So
Total Miles Driver = 450 miles
Total Gas = 12 gallons
Hence, the mileage would be 450 divided by 12:
Mileage = 450/12 = 37.5 Miles Per Gallon
Answer:
1) 2
2) -2
Step-by-step explanation:
1)
x - 5 = -3
Add 5 to both sides
x = 2
2)
3 - 2x = x + 9
Add 2x to both sides.
3 = 3x + 9
Subtract 9 from both sides
-6 = 3x
Divide both sides by 3
-2 = x
x = -2
Hope this helps you understand! :D
B) {x|x ∈ U and 2x is prime}
x is greater than 1.
the only even prime number is 2
2 times anything is even.
the minimum x value is 2. 2x is 4, therefore higher than the only even number
every value 2x will have a multiple of 2 so it will not be prime.