Answer:
x=0
y=3
Step-by-step explanation:
2(x+3)=2x+6, substituting the first equation in the second
2x+6=2x+6, rearranging the equations
2x-2x=6-6
0=0
y=0+3
y=3
1. GCF is a factor that is shared by all terms within a polynomial for example, if we have a polynomial of the form A*B + A*C, the GCF is A since both terms have A as a factor 2. after we factor out the GCF, it is placed outside the parentheses, in front of the rest of the polynomial. using our previous example, A*B+A*C = A(B+C) 3. we can verify that our factoring is correct by distributing the GCF to the polynomial within the parentheses
234 trees in 6 days so you divide 234 by 6 (39) so she plants 39 each day. Now you divide 351 by 39 (9) so at that rate it'll take 9 days in total and 6 days have already passed. So, 3 more days.
Answers:
Domain is 
Range is 
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Explanation:
The most money made from selling drinks is $150. Divide this over the cost per drink to get 150/(1.50) = 100; indicating that at most 100 drinks are sold per day. This is the largest that d can get because d represents the number of drinks sold.
The smallest d can get is d = 0 to mean that no drinks are sold.
In short: d is between 0 and 100, including both endpoints. We write to indicate this. This is the domain because the domain represents all the possible inputs allowed.
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The range is the set of allowed outputs.
If we plugged in d = 0, then you would find F(d) = 0 as well. If you don't sell any drinks, then you earn $0. This is the smallest item in the range.
On the other side of things, the largest item in the range is 150 because this value was given to us. It's the upper limit or ceiling value of how much money is made from drinks. You can also find this by plugging d = 100, the largest domain value, into the function to get F(d) = 150.
Therefore the range is to indicate that F(d) is between 0 and 150 inclusive of both endpoints.
Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
