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).
Step-by-step explanation:
22+2x+8= x+20
2x+30=x+20
x+30=20
x=-10
answer is -10
<h3>
Answer:</h3>
After 16 downloads the charges will equal each other.
<h3>
Step-by-step explanation:</h3>
First set up an equation
x = Downloads
12 + 1x = 5 + 1.5x
Solve
12 + 1x = 5 + 1.5x <- Rewrite your equation
-5 -5 <- Subtract 5 from both sides
8 + 1x = 1.5x <- Simplify
-1x -1x <- Subtract 1 from both sides
8 = 0.5x <- Simplify
8 = 1/2x <- Convert 0.5 to a fraction to make the next step easier
16 = x <- Multiply both sides by 2 to divide by
a fraction
Answer:
Option C, The volume of the length cube is 3 times the volume of the smaller cube
Step-by-step explanation:
21.8 / 7.8 = 2.8
the volume of the larger would be 21.8^3 = 10360.23
the volume of the larger would be 7.8^3 = 474.55
He bought 60 pounds last week and p stands for 60