Answer:
Is x = 4 a solution to the equation 6 = x + 2? YES
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Step-by-step explanation:
Is x = 4 a solution to the equation 6 = x + 2? YES
we cans solve the equation 6=x+2 by clearing for x:
6 = x + 2
we move the +2 on the right as a -2 to the left:
6 - 2 = x
4 = x
this way we find that indeed x = 4 is a solution to 6 = x + 2.
Is x = 4 a solution to the inequality 2x ≥ 9? NO
Let's solve the inequality by clearing for x:
2x ≥ 9
we move the 2 that is multiplying on the left to divide on the right side:
x ≥ 9/2
x ≥ 4.5 ⇒ <u>x must be greater than or equal to 4.5</u>
thus, <u>4 is not a solution to the inequality</u> because 4 is less than 4.5
Answer:
? = 3
Step-by-step explanation:
To find the value of ?, substitute one of the ordered pairs from the table [except (0, 0)] into the given formula and solve for ?.
Given formula:

Substitute x = 1 and y = 3 into the formula:

To isolate ? divide both sides by 1:


Therefore, ? = 3:

Check by inputting another value of x from the table into the found formula and comparing the calculated y-value:


If it is a system of two unknowns:
1) 4x-8y=5 multiple by 3
2)6x-12y=10 multiple by -2
then
12x-24y=15
-12x+24y=-20
x and y equals 0, so
Answer: no solution
{Answer:
3893 residents.
Step-by-step explanation:
Equation for population growth:
The equation for the size of a population, considering that it doubles every n years, is given by:

In which A(0) is the initial population.
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.
This means that
. So


Approximate the population of the town 5 years from now.
This is A(5). So


Rounding to the nearest whole number, 3893 residents.