Answer:
Step-by-step explanation:
<u>Given is the system of linear equations:</u>
<u>Convert both equations into slope intercept form:</u>
- nx + 3y = 6 ⇒ 3y = - nx + 6 ⇒ y = - 1/3nx + 2
- 12x - 6y = 0 ⇒ 6y = 12x ⇒ y = 2x
<u>The system has no solution if lines have equal slopes with different y-intercepts:</u>
Answer:
Step-by-step explanation:
Quotient of two numbers means that one number is dividing the other since quotient also means division. If we have quotient of ten and a number, this can be represented as 10/y where y is the unknown number.
If the resulting number is increased by 8, then we will add 8 to the function 10/y to give 10/y + 8 (note that increment means addition)
Finally, four less than the quotient of ten and a number, increased by eight will give us te difference between the resulting function and 4 i.e (10/y +8)-4
<em>The resulting equation of the statement is (10/y +8)-4</em>
To evaluate the result when y = 2, we will substitute y = 2 into the resulting function;
f(y) = (10/y +8)-4
f(2) = (10/2 +8)-4
f(2) = (5+8)-4
f(2) = 13-4
f(2) = 9
<em>Hence the value of the expression when y = 2 is 9</em>
Exponential decay is given by the equation
F = P(1 - r)^t
0.5 = 1(1 - 0.092)^t
0.5 = (0.908)^t
log 0.5 = log (0.908)^t
log 0.5 = t * log 0.908
t = (log 0.5)/(log 0.908)
t = 7.18
Answer: 7.2 years
Answer:
Taylor's conjecture is correct because the population of 2000 in the city was more compared to the population in 2010 in the same city. This is because the population in 2000 was 935,426 and it had 848 more people in that same city compared to in 2010. Therefore Taylor is right since 2000's population is 848 more than 2010's population...
