Answer:
a = 2x
b = 3
Step-by-step explanation:
Consider the sum of cubes identity
a³ + b³ =(a + b)(a² -ab +b²)
for the polynomial 8x³ +27, we factorise
8x³ + 27
∛8 = 2
∛8 = x
∛27 = 3
Therefore, we can say that :
8x³ + 27 = (2x)³ + 3³
Using this: a³ + b³ =(a + b)(a² -ab +b²)
We can say that
a = 2x
b = 3
To confirm that: a = 2x and b = 3 we factorise 8x³ + 27
= (2x)³ + 3³
= (2x + 3)((2x)²− 2x × 3 + 3²)
= (2x + 3)(4x² - 6x + 9)
= 8x³ - 12x² +18x + 12x² - 18x + 27
= 8x³ + 27
Therefore, a = 2x and b = 3 is correct.
=
Answer:
(-5, 2)
Step-by-step explanation:
<u>plug x into the equation x - 5y = -15</u>
-5 - 5y = -15
add 5 to both sides: -5y = -10
divide by -5: y = 2
I dont have a calculator, but 1000(1 plus .145)^12..... I guess
Answer:
Step-by-step explanation:
we know that
The exponential function is of the form
where
y ---> the number of trucks
t ----> is the time in years
a ---> is the initial value (number of trucks for t=0)
b is the base
r is the rate
b=(1+r)
In this problem we have
substitute
we have the point (1,110)
For t=1 year, y=110 trucks
substitute
solve for b
The rate of growth is
the exponential equation is equal to
<u><em>Verify for the third point of the table</em></u>
For t=2 years
---->is correct