Answer: She has 76 dimes and 78 quarters.
Step-by-step explanation:
Given data:
Total = $27.20
Solution:
Q = d + 2
Each quarter is 25 cents, or 0.25 of a dollar = 0.25q
Each dime is 10 cents = 0.10d
0.25q+0.10d = $27.20
Where q = d-2
Substitute in this equation:
0.25(d+2)+0.10d = 27.20
0.25d + 0.5 + 0.10d = 27.20
0.35d = 26.7
Divide both sides by 0.35
d = 76
She has 76 dimes and 76 + 2 = 78 quarters.
The common difference if there is one is the constant difference that occurs between any term and the term before it.... in this case:
There is no common difference,
dx=18,20,16,18 the difference or velocity is not constant...
d2x=2, -4,2 the acceleration is not constant...
d3x=-6,6 the thrust is not constant
Now we might be tempted to say that:
d4x=12 and say that that is constant and we COULD make a quartic equation fit all the data points, but without further data points in the sequence there is no mathematical proof that the quartic equation would produce accurate data points outside of the range given...
And solving a system of five equations for five unknowns is tedious for such a problem...a^4+bx^3+cx^2+dx+e=y
Making a career decision is simple but important task. And a proper process needs to be followed. By a process, we can say choosing the subject interest, finding the career options in your interest area, figuring out the college and the cost of education. And most important working with patience and honesty is the fundamental to reach a zenith in your career.
2/10 basically means "2 divided by 10".
10 / 2 = .2
With A and its image one can get the dilation factor;
That is dilation scale factor = -6/-4 or 9/6 = 3/2
Therefore, to get the image of B we multiply the coordinates of B by the dilation factor;
(1,4) 3/2 = (1.5, 6)
Thus the image of B = (1.5,6)
