Answer:
<u>x = -7.5 - 1.5(n−1) </u>
Step-by-step explanation:
the explicit formula for the arithmetic sequence has the form
x = a + d(n−1)
a is the first term and d is the common difference
The given arithmetic sequence is
-7.5,-9,-10.5,-12
The first term is -7.5
d = common difference = -9 - (-7.5) = -1.5
∴ x = -7.5 - 1.5(n−1)
Answer:
The numbers are 23 and 7
Step-by-step explanation:
1. Set up the equations
Let x = the greater number
and y = the smaller number. Then
(1) x - y = 16
4y = 4 times the smaller number and
4y - 5 = 5 less than 4 times the smaller number. Then
(2) x = 4y - 5
You have a system of two equations:
2. Solve the equations
The larger number is 23; the smaller number is 7.
3. Check
OK.
<span>work out the difference (increase) between the two numbers you are comparing.Increase = New Number - Original Number.Then: divide the increase by the original number and multiply the answer by 100.% increase = Increase ÷ Original Number × 100.</span>
Well a circle has 360 degrees and this question wants the degree of counter-clockwise.
I think first we subtract 69 from 360, since that is the rotation clockwise, to get the angle of rotation.
360 - 69 is 291 degrees
