Answer:
x = 8 , x = - 2.5
Step-by-step explanation:
( x - 8 ) ( 2 x + 5 ) = 0
1. x - 8 = 0
2. 2 x + 5 = 0
x - 8 = 0
( + 8 on both sides )
x = 8
2. 2 x + 5 = 0
( - 5 from both sides )
2 x = - 5
( ÷ 5 on both sides )
x = - 2.5
Answer:
Step-by-step explanation:
Let "a" represent the population.
is the initial population.
is the population at year n.
Since the population decreases 10% each year, that means that each year, the population is 90% of the previous year.
The initial population is 14,000.
Each year fater than, the population is 90% of the population of the previous year, or 0.9 time the population of the previous year.
Answer:
492 0/10
Step-by-step explanation:
We have that the perimeter is 4 times the length of the side, now we know that this side "l" is given by:
l = 4 in * 24 + 23 * 5 ft
l = 96 in + 115 ft
Now, we pass the inches to pes, knowing that 1 foot equals 12 inches, so
96 in * 1 ft / 12 in = 8 ft
therefore replacing it remains:
l = 8 ft + 115 ft
l = 123 ft
now the perimeter:
p = 123 * 4
p = 492
to change to a mixed number:
4920/10 = 492 0/10
Answer:
See Below.
Step-by-step explanation:
By the definition of the logarithm, if we have:
This means that we have some value <em>y</em> such that:
If <em>x</em> is -8, then:
As you can see,<em> </em>there is no real value* that can make the result negative. No matter what the value of <em>y</em> is, we will simply get another positive value.
So, -8 or any other negative value or zero is not included in our domain. 0 is not included because, likewise, we can’t raise 2 to a power and get 0 as a result.
*There is no <em>real</em> value for which 2 raised to <em>y</em> is -8. However, as you will learn much much later, there are in fact <em>infinitely</em> many <em>complex </em>(imaginary) solutions such that 2 raised to <em>y </em>is indeed -8.