Solve the equation. 2x - 4 = -10

Find the LCM of 29 and 116.

Simplify. 88 · 8-8

This is hardly calculus.

Solve the equation. 2x - 4 = -10

2x-4=-10
+4 = +4 add
2x = -6
x = -3

Find the LCM of 29 and 116.
29 is a prime so it is 29 times something
116/29 = 4
so
116 is the least common multiple of 29 and 116

Simplify. 88 · 8-8
I do not understand this notation.

To solve the equation 2x - 4 = -10, we need to isolate the variable x.

First, let's get rid of the -4 on the left side of the equation by adding 4 to both sides:

2x - 4 + 4 = -10 + 4
2x = -6

Next, we can isolate the variable x by dividing both sides of the equation by 2:

2x/2 = -6/2
x = -3

Therefore, the solution to the equation 2x - 4 = -10 is x = -3.

To find the LCM (Least Common Multiple) of 29 and 116, we need to determine the smallest multiple that is divisible by both numbers.

We can find the LCM by listing the multiples of each number and identifying the smallest common multiple.

Multiples of 29: 29, 58, 87, 116, 145, 174, 203, ...

Multiples of 116: 116, 232, 348, 464, 580, 696, 812, ...

By comparing the two lists, we can see that the smallest common multiple of 29 and 116 is 116.

Therefore, the LCM of 29 and 116 is 116.

To simplify the expression 88 · 8 - 8, we need to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's break it down step by step:

1. Multiply 88 by 8: 88 · 8 = 704.

2. Subtract 8 from the result: 704 - 8 = 696.

Therefore, the simplified expression 88 · 8 - 8 is equal to 696.