Answer:
1/128 * (3 - 4cos2x + cos4x)
Step-by-step explanation:
See attachment for steps
Answer:
One possible equation is 
, which is equivalent to 
.
Step-by-step explanation:
The factor theorem states that if 
(where 
is a constant) is a root of a function, 
would be a factor of that function.
The question states that 
and 
are 
-intercepts of this function. In other words, 
and 
would both set the value of this quadratic function to 
. Thus, 
and 
would be two roots of this function.
By the factor theorem, 
and 
would be two factors of this function.
Because the function in this question is quadratic, and would be the only two factors of this function. In other words, for some constant 
(
):
.
Simplify to obtain:
.
Expand this expression to obtain:
.
(Quadratic functions are polynomials of degree two. If this function has any factor other than and , expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of corresponds to a distinct quadratic function with -intercepts and . For example, with 
:
, or equivalently,
.
Y-y1=m(x-x1) for slope=m
point is (x1,y1)
pont s (7,4)
slope is 6
x1=7
y1=4
y-4=6(x-7)
2nd one is correct answer
First you need to write an equation or an inequality.
5+1.80x<=12
the x here is how many miles you are paying for, now you just solve for x.
5+1.80x<=12
-5 -5
1.80x<=7
/1.80 /1.80
x<=3.8
you can travel only three whole miles, you do not have enough money to go four full miles.
Do $27.58 x .06 (for the sales tax) which equals in total $1.65.
Then do $27.58 x .18 (for the tip) which equals $4.96 in total.
Later add the tip and tax together which you get $6.61,add that to $27.58 and you'll get $34.19 total adding the tax and tip
