Answer:
x = 8
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
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3(x - 2) + 8 = 2(x + 5)
<u>Step 2: Solve for </u><em><u>x</u></em>
- (Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10
- Combine like terms: 3x + 2 = 2x + 10
- {Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10
- [Subtraction Property of Equality] Subtract 2 on both sides: x = 8
<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>: 3(8 - 2) + 8 = 2(8 + 5)
- (Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)
- Multiply: 18 + 8 = 26
- Add: 26 = 26
Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
Function h has the largest y-intercept which is 44
Step-by-step explanation:
Any linear function is represented in the form
Here b is the y-intercept of the linear function i.e. the constant term in the function.
We will compare all the functions with the general form we get
y-intercept of f(x) = 1
y-intercept of g(x) = 8
y-intercept of h(x) = 44
y-intercept of j(x) = 0
Hence,
Function h has the largest y-intercept which is 44
Keywords: intercepts, linear functions
Learn more about intercepts at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
Here time (t) is the independent variable; power (p) is the dependent one.
The graph of p = 100 - 4t is a straight line with slope -4. 100 is the vertical intercept. Battery power begins at 100 and steadily decreases after that.
(b - 4z)/7 = a
b - 4z = 7a
b = 7a + 4z
Answer: b = 7a + 4z
Answer:
y
Step-by-step explanation:
y needs to provide a number
