Rounded to the nearest whole number is still 43
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***
f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
rate is the ratio between two related quantities in different units. ... In describing the units of a rate, the word "per" is used to separate the units of the two measurements used to calculate the rate.
Find area of square: 7^2 = 49
Find radius of circle: 7/2=3.5
find area of circle: 3.5^2*3.14=38.465
Remove area of circle from area of square:
49-38.465=10.535 cm^2
Answer A is the correct one :)
Answer:
26.6 minutes
Step-by-step explanation:
Set up a proportion
3/8 = 10/x
cross multiply
3x = 80
x = 26.6