Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
If two equations are equal, the system has infinite solutions.
In this problem, the equations are:
4x - 16 = h(x - 4).
Then:
4(x - 4) = h(x - 4).
h = 4.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer:
b. -84
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
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<u />
<u />
<u />
<u>Step 2: Solve for </u><em><u>a</u></em>
- Addition Property of Equality:
- [Simplify] Add:

- Multiplication Property of Equality:

- [Simplify] Multiply:

<u>Step 3: Check</u>
<em>Plug in a into the original equation to verify it's a solution.</em>
- Substitute in <em>a</em>:

- [Frac] Divide:

- Subtract:

Here we see that 5 does indeed equal 5.
∴ a = -84 is the solution to the equation.
Answer: 36÷4=9
Step-by-step explanation:
Answer:
Step-by-step explanation:
We know for a function:
y = Asinωt
=> on comparison, <u>A = 5 m</u>
=> T = 2π / ω
=> T = 2π / 2
=> <u>T = π seconds</u>
Answer:
2 /10
Step-by-step explanation:
The portion of the book that weight 2 1/8
Total number of books = 10
Number of books that weight 2 1/8 = 2
Fraction of book that weigh 2 1/8 = number of books that weigh 2 1/8 / total number of books
Fraction = 2 / 10