Answer:
See answers and explanations below (along with a visual graph)
Step-by-step explanation:
For the function
:
Amplitude: 
Period: 
Phase shift: 
Vertical shift: 
Therefore, for
:
Amplitude:
, which is 2 units above and below the midline (see d)
Period:
, so the cycle will repeat every 3π units
Phase shift:
, or π units to the left
Vertical shift:
, or 1 unit down
Answer:14.097
Step-by-step explanation:
Answer:
69
Step-by-step explanation:
I'm mathematics, the word 'of' transfers into becoming 'times or Multiply'
Therefore, the expression can be rewritten as:
10/100 of x = 30
10x / 100 = 30
Cross Multiply the equation to solve for x
10x = 100 * 30
10x = 3000
x = 3000 / 10
x = 300
(Since we gotten the value of x as 300) let's find 23% of it.
Therefore,
23% of x, ( when x is 300)
= 23/100 * 300
= 23 * 3
= 69
(Well, although that's the workable solution, the option doesn't seen to tally)
Maybe you check the source, but am certain about the Solution.
Let's keep learning, maths is fun !
You only flip the inequality sign when you multiply or divide both sides by a negative number.
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Problem 1

The inequality sign flip happens because we divided both sides by -8.
The graph will have a closed circle at 4 with shading to the left.
Three solutions are x = 0, x = 1, x = 2. You can pick any three numbers you want as long as they are 4 or smaller.
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Problem 2

The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.
Your choice of three solutions is correct. You can pick anything smaller than 4.3333
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Problem 3

The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.
The graph has a closed circle at 3 on the number line. The shading is to the right.