You multiply the price of the item and the tax rate and you get your answer. If the tax rate is a percentage, then turn the percent into a decimal. Hope this helps!
Answer:
x = -2, x = 3 − i√8, and x = 3 + i√8
Step-by-step explanation:
g(x) = x³ − 4x² − x + 22
This is a cubic equation, so it must have either 1 or 3 real roots.
Using rational root theorem, we can check if any of those real roots are rational. Possible rational roots are ±1, ±2, ±11, and ±22.
g(-1) = 18
g(1) = 18
g(-2) = 0
g(2) = 12
g(-11) = 1782
g(11) = 858
g(-22) = -12540
g(22) = 8712
We know -2 is a root. The other two roots are irrational. To find them, we must find the other factor of g(x). We can do this using long division, or we can factor using grouping.
g(x) = x³ − 4x² − 12x + 11x + 22
g(x) = x (x² − 4x − 12) + 11 (x + 2)
g(x) = x (x − 6) (x + 2) + 11 (x + 2)
g(x) = (x (x − 6) + 11) (x + 2)
g(x) = (x² − 6x + 11) (x + 2)
x² − 6x + 11 = 0
Quadratic formula:
x = [ 6 ± √(36 − 4(1)(11)) ] / 2
x = (6 ± 2i√8) / 2
x = 3 ± i√8
The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.
Answer:
A = 19.1°
B = 95.5°
C = 65.4°
Step-by-step explanation:
B = 5A
C = 4A-11
We know that a triangle has a total of 180° so:
180 = A + B + C
Which can be written as:
180 = A + (5A) + (4A - 11)
180 = 10A - 11
10A = 191
A = 19.1°
With A, we can work out B and C:
B = 5(19.1)
B = 95.5°
C = 4(19.1) - 11
C = 76.4 - 11
C = 65.4°
Answer:
Well that means between the ages of 40 and 60 Bill lost 10 teeth
Step-by-step explanation:
If Bill had 30 teeth when he was 40, and had 20 teeth when he was 60 that means between the ages of 40 and 60 he lost 10 teeth.
Being that 60 minus 40 (60-40=20) is 20, that means he lost 10 teeth in 20 years. Averaging out to loosing 1 tooth every 2 years.
Sorry I was not completely sure what the question was, so I answered it in the most mathematical way possible. Hope I helped a little :)
If you are referring to the common factors:
Factorize both numbers:
48 = 2*2*2*2*3
120 = 2*2*2*3*5
Common factors: 1, 2, 3, 4, 6, 8, 12, 24
If you are referring to factors in general:
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120