Answer:
Step-by-step explanation:
(f.g)(x) = (x² - 2x + 3) (x³ - 4)
= x²* (x³ - 4) - 2x* (x³ - 4) + 3 * (x³ - 4)
= x²*x³ - x²*4 - 2x*x³ - 2x*(-4) + 3*x³ - 3 * 4
= x⁵ - 4x² - 2x⁴ + 8x + 3x³ - 12
= x⁵ - 2x⁴ + 3x³ - 4x² + 8x - 12
She worked 50.5 hours last week.
7.80x40=312
352.95-312=40.95
40.95/4.90=10.5
10.5+40=50.5
Erika $21
3k of cinnamon
1g of gummies
Irene $39
3k of cinnamon
3k of gummies
c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies
Erika's Equation
3c + 1g= $21
Irene's Equation
3c + 3g= $39
Solve for one variable in equation one and substitute it in the other equation.
3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c
Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
-6c= -24
c= $4
Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9
ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.
Hope this helps! :)
interior angle of a regular 18-gon.
It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation
exterior angle = 360/n
For a 18-gon, n=18, so exterior angle = 360/18=20 °
The value of each interior angle is therefore the supplement, or
Interior angle = 180-20=160 degrees.
Naming of a 9-gon
A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)
You had a good start with the correct answer.
Exterior angle of a 15-gon
The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely
Exterior angle = 360/15=24 degrees
