Answer:
Graph attached.
Step-by-step explanation:
In the question the given parameters are as followed.
1). Amplitude a = 7
2). Period = 
3). Vertical shift = 1 means mid line of the graph will be y =1 and maximum of the graph is 8 and minimum is -6.
Answer:
An improper fraction is when the numerator of the fraction is larger than the denominator
For example, 13/4 is improper because 13 > 4
An improper fraction can be changed into a mixed number by dividing the numerator by the denominator
For example, 13 divided by 4 is 3 with remainder 1, or 3 1/4
Step-by-step explanation:
Step-by-step explanation:
The magnitude of x is equal or less than 7.
=> We have |x| <= 7.
Answer:
(a) Two x plus eight is greater than negative four
(b) x > -6; number line would be an open circle at -6 and the line pointing in the positive direction to be shaded
Step-by-step explanation:
(a)
Note first that the inequality sign ">" means "greater than", so 2x + 8 > -4 in written language is:
<em>Two x plus eight </em><em>is greater than</em><em> negative four</em>
<em />
(b)
We solve this just like how we'd solve it if it were 2x + 8 = -4: isolate the variable first.
Subtract 8 from both sides:
2x + 8 - 8 > -4 - 8
2x > -12
Divide by 2:
x > -12/2
x > -6
So, the solution set is all numbers greater than -6.
Drawn on a number line, we would first place an <em>open circle</em> at -6 (because we are using > rather than ≥, which would include the -6 in the solution set). Then, because our solution set includes all numbers greater than -6, we shade in the part of the line that points in the positive direction, so it should include numbers like -5, -4, -3, -2, -1, 0, 1, 2, ... and so on.
A because all of the variables stay constant
