Answer:
Explanation:
The function that represents the number of E.coli bacteria cells per 100 mL of water as the time t years elapses is:
The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function:
Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3). 

To make this expression a perfect square,
a² = 
= 
Therefore, the missing number will be
.
<u><em>Answer: x<-6 *The answer should be the negative sign.*</em></u>
Step-by-step explanation:
subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.
subtract 5 both sides of an equation.
5-2x-5>17-5
simplify.
-2x>12
multiply by -1 both sides of an equation.
(-2x)(-1)<12(-1)
simplify.
2x<-12
divide by 2 both sides of an equation.
2x/2<-12/2
-12/2=-6
12/2=6
6*2=12
12/6=2
x<-6
Hope this helps!
Thanks!
Have a great day!
Answer:
98 years
Step-by-step explanation:
because the sun is 432,690 miles