Answer:
Inequality: 50-1.99x=30
She has 10 days.
Step-by-step explanation:
So, she starts off with with $50. From there, she is buying songs that are $1.99 (everyday). You could do this multiple ways:
Guess and Check, or use Algebra.
But for Algebra:
If we graph this out, the y intercept would be (0, 50), because she is starting out with $50. From there, she is spending 1.99 each day, so the slope would be 1.99/1. So basically, we would write this as 50-1.99x (that is the expression).
We would also set this equal to 30, because we are trying to see how many days it would take to still keep her balance above $30, but make it as close to 30 as possible. (x represents the # of days.
So the inequality would be 50-1.99x=30
And, when we isolate the variable and solve, we would see that she can buy a total of 10 songs over 10 days. (So basically, she has 10 days to stay over $30).
I hope this helps you
u^2=s^2+t^2
this equation Pythagorean
and this triangle is right triangle
m (SUT)=90
19 , 23 , 27 , 31 , 35 , 39 , 43 , 47
From the given starting values, we have
and more generally, the
-th term pair is captured by
so that
We notice that
which is to say that the explicit formula for
is given by the dot product of the second row of
with
.
First we diagonalize
. It has eigenvalues
, where
with corresponding eigenvectors
, where
Then we have
where
is the matrix whose columns are
and
and
is the diagonal matrix whose non-zero entries are the eigenvalues of
. So
which gives
From here, you would just need to determine the bottom row of the final matrix product.