Answer:
$25.5
Step-by-step explanation:
Sure, so the total of the
Item:
30 Dollars ($)
and the discount price is
15 percent (%)
So 30 times 0.15 because 30 is the price in total and 0.15 is the percentage but in a decimal form.
30 times 0.15 equals 4.5
4.5 is the amount that 15 % equals.
30 minus (-) 4.5 because once again the total is 30 and since we have a discount price then we minus (-) the discount price by the total and you get
A total with the discount price as 25.5 Dollars or $25.5
Hope this helps ;)
Answer:
-9 =k
Step-by-step explanation:
h(x)=x^2+3 and g(x)=x^2-6
g(x)=h(x)+k
Substitute in
x^2-6 = x^2+3 +k
Subtract x^2 from each side
x^2 -x^2-6 = x^2-x^2+3 +k
-6 = 3+k
Subtract 3 from each side
-6-3 = 3-3+k
-9 =k
3-degree polynomial is f(x )= ![[x^{3 }-\frac{9}{7} x^{2}+9x-\frac{81}{7} ]](https://tex.z-dn.net/?f=%5Bx%5E%7B3%20%7D-%5Cfrac%7B9%7D%7B7%7D%20x%5E%7B2%7D%2B9x-%5Cfrac%7B81%7D%7B7%7D%20%5D)
Step-by-step explanation:
Given that polynomial f(x) is 3-degree polynomial and Zeros/Roots at x=
and x= -3i
In order to find the equation of a 3-degree polynomial, we need 3 roots.
Here, One of Root is real number x=
and another root is an imaginary number x=(-3i)
It is necessary to note that imaginary roots always come in pair of conjugates
Therefore, Comjugate0 of x =(-3i) is 3rd root
Conjugate of (-3i) is 3i
Evaluting equation of polynomial,
=![[x-3i][x+3i][x-\frac{9}{7} ]](https://tex.z-dn.net/?f=%5Bx-3i%5D%5Bx%2B3i%5D%5Bx-%5Cfrac%7B9%7D%7B7%7D%20%5D)
=![[x^{2}-(3i)^{2}][x-\frac{9}{7} ]](https://tex.z-dn.net/?f=%5Bx%5E%7B2%7D-%283i%29%5E%7B2%7D%5D%5Bx-%5Cfrac%7B9%7D%7B7%7D%20%5D)
=![[x^{2}-(9)(i)^{2}][x-\frac{9}{7} ]](https://tex.z-dn.net/?f=%5Bx%5E%7B2%7D-%289%29%28i%29%5E%7B2%7D%5D%5Bx-%5Cfrac%7B9%7D%7B7%7D%20%5D)
=![[x^{2}+9][x-\frac{9}{7} ]](https://tex.z-dn.net/?f=%5Bx%5E%7B2%7D%2B9%5D%5Bx-%5Cfrac%7B9%7D%7B7%7D%20%5D)
f(x )= ![[x^{3 }-\frac{9}{7} x^{2}+9x-\frac{81}{7} ]](https://tex.z-dn.net/?f=%5Bx%5E%7B3%20%7D-%5Cfrac%7B9%7D%7B7%7D%20x%5E%7B2%7D%2B9x-%5Cfrac%7B81%7D%7B7%7D%20%5D)
Answer:

Step-by-step explanation:
Answer:
b.
Step-by-step explanation: