Answer:
F&H are vertical angles, D&H are corresponding angles, E&H are adjacent angles, and B&H are alternate interior angles.
Step-by-step explanation:
Hope this helps. Tell me if you need and explanation.
Answer:
The price where the manufacture sells the maximum number of toys is $20
Step-by-step explanation:
The given equation for that represents the number of toys the manufacturer can sell is given as follows;
T = -4·p² + 160·p - 305
Where;
p = The price of the toys in dollars
At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0
Therefore, at the maximum point;
The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160
∴ -8·p + 160 = 0
160 = 8·p
8·p = 160
p = 160/8 = 20
The price where the manufacture sells the maximum number of toys is = p = 20 dollars
Answer:

Step-by-step explanation:

Switch sides:

Multiply both sides by 9:


Divide both sides by 5:


Add 32 to both sides:


Answer:
True.
Step-by-step explanation:
The explicit form for an arithmetic sequence is:

where
is the first term and
is the common difference.
The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.
Yes, the common difference is the slope.
So we have d=2.
The first term is 9.5 because that is what happens when x=1.
x is n.
y is
.
So the answer is true.
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You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:
Let n=1:




Let n=2:




Let n=3:




Let n=4:




Let n=5:




Let n=6:




We have confirmed that we get all 6 of the mentioned points using the equation they gave.