Explanation:
There are 4 quarts in one gallon.
This means that to convert quarts in to gallons, you just need to divide by 4.
8 divided by 4 is 2
So, there are 2 gallons in 8 quarts.
Answer:
(0, 0) and (3, 0)
Step-by-step explanation:
Zeros of any equation means, value of variable x at y = 0.
Given quadratic equation is,
y = -x(x - 3)
For y = 0,
-x(x - 3) = 0
x = 0
And (x - 3) = 0
x = 3
Therefore, x-intercepts of the given quadratic equation will be,
x = 0, 3
Points showing the x-intercepts will be,
(0, 0) and (3, 0)
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Answer:
Step-by-step explanation:
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2. Then:
Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².
We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.
Now we find the difference between the actual terms of the sequence and the numbers we just found:
4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.
Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.
The correct answer is n²+3
