Answer:
see below
Step-by-step explanation:
Thankfully, these inequalities are already simplified, so all we have to do here is graph the inequalities as they are.
To graph y > 2x - 3, first draw the line y = 2x - 3. Make sure to make the line dashed because the sign is ">", which means that the points on the line do not belong to the solution set. Now, we need to figure out which side of the line to shade on. Since the sign is ">", that means that we will shade "above" the line, or on the left side of it. (This is the blue area in the image.)
Repeat a similar process to graph y < x + 1. As usual, first draw the line y = x + 1, and again, make it a dashed line since the sign is "<". And since the sign is "<", that means that we will shade "below" the line, or on the right side of it. (This is the red area in the image.)
The solution set to this system is the area where the two shaded areas overlap, which is the purple area in the image below. Hope this helps!
The first term is 138
The difference is 55
The iterative rule for the amount of money Mr Speas has after n weeks is
55/2 n² + 221/2 n
During the first week she has $138 in his bank account. At the end of each week she deposited $55 into her bank account.
The first term will be 138 .
The common difference is 55 because her bank always increase by $55 dollars every week. The sequence will be 138, 193, 248, 303, 358...…
The difference = 193 - 138 = 55.
The iterative rule for the amount of money Mr Speas has after n weeks can be represented below
n = number of weeks
a = first term = 138
d = common difference = 55
Using AP formula,
sₙ = n/2(2a + (n - 1)d)
sₙ = n/2 (2(138)+ (n - 1)55)
sₙ = n /2(276 + 55n -55)
sₙ = n /2(221 + 55n)
sₙ = 55/2 n² + 221/2 n
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A) is the correct answer.
Answer:
F. 
C. 
B. 
Step-by-step explanation:
You first need to find the linear equation<em> </em>[in <em>Slope-Intercept</em><em> </em><em>Form</em><em> </em>of course] of this graph, which is
To do this, starting from the y-intercept of
you do
by either moving two blocks <em>south</em><em> </em>over one block <em>way</em><em> </em>or two blocks <em>north</em><em> </em>over<em> </em>one block <em>east</em> [<em>west</em><em> </em>and <em>south</em><em> </em>are negatives]. This will give you your <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] of 2.
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I am joyous to assist you anytime.
2% of 1200 is 48. Subtracting 48 from 1200 is 1152