Answer:
The value of g(f(100)) is 65.
Step-by-step explanation:
It is given that one coupon is good for 20% off of the total not including tax. The other coupon will take $15 off of her pre-tax total.
The given functions are
where, f(x) calculates the total after the 20% off coupon and g(x) calculates the total after the $15 dollar off coupon.
We need to find the value of g(f(100)).
Substitute x=100 in the above function.
Substitute x=80 in function g(x) to find the value of g(f(100)).
Therefore, the value of g(f(100)) is 65.
g(f(x)) represents the value goods after applying both coupons consecutively.
Therefore, g(f(100)) represents the value of $100 goods after applying both coupons consecutive is 65.
Answer:
Step-by-step explanation:
<em>Refer to attached</em>
<u>Comparing sales by the ratio of sold to all or</u>
<u>Applying to our table:</u>
Correct answer option is the last one
Answer:
We want a polynomial of smallest degree with rational coefficients with zeros in ,
and -3. The last root gives us the factor (x+3). Hence, our polynomial is
where is a polynomial with rational coefficients and roots
and
. The root
gives us a factor
, but in order to obtain rational coefficients we must consider the factor
.
An analogue idea works with . For convenience write
. This gives the factor
. Hence,
Notice that . So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is
Step-by-step explanation:
We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type will introduce in the expression, we need to multiply by its conjugate
. Hence, we will obtain
that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.