Answer:
x = -15/8
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>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
-7 - 3x = 1x + 4(2 + x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 4: -7 - 3x = x + 8 + 4x
- Combine like terms: -7 - 3x = 5x + 8
- [Addition Property of Equality] Add 3x on both sides: -7 = 8x + 8
- [Subtraction Property of Equality] Subtract 8 on both sides: -15 = 8x
- [Division Property of Equality] Divide 8 on both sides: -15/8 = x
- Rewrite/Rearrange: x = -15/8
This is a problem of
Arithmetic that is a branch of mathematics that consists of the study of numbers. Its main goal is the study of the traditional operations on them just as: <em>addition, subtraction, multiplication and</em><span><em> division</em>. </span>There is an order of operation to solve problems in arithmetic that is the way you choose to simplify expressions. This order is like this:
1. First. Solve Parentheses.
2. Second. Solve Exponents (and root).
3. Third. Solve Multiplication and Division
3. Fourth. Solve addition and subtraction.
So let's apply these concepts to our problem:

We don't have parentheses, so let's apply
second step:

Applying
third step:

Finally, applying
fourth step, the result is:
Answer:
(g · h)(5) = -50
Step-by-step explanation:
Step 1: Define
h(x) = x - 7
g(x) = x²
Step 2: Find (g · h)(x)
(g · h)(x) = x²(x - 7)
(g · h)(x) = x³ - 7x²
Step 3: Find (g · h)(5)
(g · h)(5) = 5³ - 7(5)²
(g · h)(5) = 125 - 7(25)
(g · h)(5) = 125 - 175
(g · h)(5) = -50