Answer:
The general rule is 
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:
In which 
is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:
a3 = -12 and a8 = -37
First we find the common difference. So
So
Finding the first term:
Since 
So the general rule is:
Answer:
See below in bold.
Step-by-step explanation:
The cost of what he wants to buy = 4.25 + 0.89 + 10.99
= $16.13
a) He does have enough to buy everything.
b) He has 20 - 16.13 = $3.87 left over.
Answer:
15:9
Step-by-step explanation:
Because you have a total of 15 shirts and a total of 9 skirts.
The line is parallel so it has the same slope as the other line, -4.
Substitute the x and y variables with the given points and find the y-intercept.
(-8, 6)
y = -4x + b
6 = -4(8) + b
6 = -32 + b
6 + 32 = b
38 = b
So the equation is:
y = -4 + 38
9x^3-39x^2-38x+40=(3x-2)(3x+4)(x-5) by synthetic division
Thus roots are -4/3, 2/3, 5
