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
Answer:

Step-by-step explanation:
Standard form is Ax + By = C, so we want x to be on the left side
To accomplish this, subtract 1/4x from both sides.

Multiply by -4 to get x to be equal to 1.

102. Take the largest number and subtract the lowest. Brainliest please?
Answer: Sample. Points. A(2, 1). B(1, 3). C(3, 2). Segments ... and angle measures of the image of △ABC after a dilation with a scale factor of k? Dilating Lines ... Graph quadrilateral KLMN with vertices K(−3, 6), L(0, 6), M(3, 3), and N(−3, −3) ... Find the perimeter and area of the rectangle. b.
Step-by-step explanation:
Given:
The equation is
.
To find:
The scenario that uses the given equation.
Solution:
If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units.
According to this scenario,
Total supply = 10+7p
Equate total supply with 24, to find the price at which the supply will be 24 units.

Therefore, the required scenario is "If p is the price of a good. Initial supply of goods at price 0 is 10 and supply increasing by 7 units if the price increased by 1 unit, then at what price the supply will be 24 units."