Evaluating Expressions The order of operations tells you how to evaluate an arithmetic expression with more than one operation. An expression is a mathematical statement that contains numbers, operations, and sometimes letters. Order of Operations: Complete operations inside parentheses. Evaluate exponents. Multiply and divide from left to right. Add and subtract from left to right. Complete the steps to simplify each problem. Expression Answer Simplified expression 8 + 6 12 - 2.6 28 + 7.4

Answers

Answer 1

Answer:

Answer:

To evaluate the given expressions, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). Let's simplify each expression step by step:

1. 8 + 6:

The addition operation is straightforward. Adding 8 and 6 gives us the answer of 14.

2. 12 - 2.6:

Again, we perform the subtraction operation. Subtracting 2.6 from 12 gives us the answer of 9.4.

3. 28 + 7.4:

Similar to the first expression, we add 28 and 7.4 to get the answer of 35.4.

Therefore, the simplified expressions are as follows:

- 8 + 6 = 14

- 12 - 2.6 = 9.4

- 28 + 7.4 = 35.4

Step-by-step explanation:

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a 5ft ladder is leaning against a 4 ft wall. how far must the bottom of the ladder be from the wall so that the top of the ladder rests on the top of the wall?

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The ladder leaning against the wall forms a right angled triangle with the gound and the wall. So we can use the formula:

a² + b² = c²

The ladder is the hypotenuse c²

The vertical leg is b²

The base or horizontal leg is a²

We need to find the length of the base a², so:

a² = c² - b²

a² = 5² - 4²

a² = 25 - 16

a² = 9

a = √9

a = 3

Therefore the bottom of the ladder must be 3 feet from the wall.

Solve by graphing. x2 + 2x – 3 = 0

Answers

The graph of an equation is the set of all points that are solutions of the equation. Frequently, a relationship between two quantities can be expressed as an equation in two variables. For instance, we can write the equation of our problem as the following form:

$y=x^2+2x-3 \n \n Or: \n \n f(x)=x^2+2x-3$

So, by graphing $f(x)$ we want to know the x-intercepts. This graph is illustrated in the Figure below. As you can see, points in red are the solution to this problem that are the x-intercepts of our previously defined function $f(x)$ . These points are: