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).
60/100 is 3/5 so Anna colored 60% of the paper blue
Answer:The first option has a higher cost per liter and the required cost is $1.40 per liter.
Step-by-step explanation:
Step-by-step explanation: Given that a 2 liter bottle of juice cost $2.80. A box containing six 12 liter bottle sells for $3.90.
We are to select the option that has a higher cost per liter.
We will be using the UNITARY method to solve the given problem.
Option (1) :
The cost of 2 liter bottle of juice = $2.80.
So, the cost of 1 liter bottle of juice will be
Option (2) :
The cost of six 12 liters bottle of juice = $3.90.
So, the cost of 1 liter bottle of juice will be
Since 0.05>1.40, so the option of 2 liter bottle costing $2.80 has a higher cost per liter.
And, the required cost is $1.40 per liter.
Answer:
A. 25%
25% is equivalent to 1/4 and when you multiply 75 by 4 you get 300. Which means 75 is equivalent to 1/4 and 1/4 is equivalent to 25%. So the answer is 25%. I'm so sorry if this explanation is bad
So x is John's age.
We can solve this problem by working backwards.
Since it's 5 times his age, we first do 5x.
And then since it's five less, we move on to 5x - 5
And then we add the John's age is increased by 11: 5x - 5 = x + 11
I hope this helped :)
(It should be the second one you listed)
