Answer:
We have a system of equations with no solutions.
One of the equations is:
x + y = 5.
Isolating y in one side of the equation, we get:
y = 5 - x
And the other equation has an y-intercept of -2, the equation can be written as:
y = a*x - 2.
Then the system will be:
y = -1*x + 5
y = a*x - 2
The solution of a system of equations is a point where the graphs of both functions intersect.
Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.
And two lines are parallel if they have the same slope.
Then the other equation will be:
y = -x - 2
Answer:
x = -3.5
Step-by-step explanation:
-2(5x – 3) = 41
-10x + 6 = 41
-10x + 6 - 6 = 41 - 6
-10x/-10 = 35/-10
x = -3.5
Answer:
-2
Step-by-step explanation:
you would go to wear your line crosses you y-axis, which is the vertical one
so it crosses at -2
3(4x - 3) - 7x = 5x - 9
First, expand your equation so it will be easier to simplify.
Second, multiply (3)(4x) to get 12x.
Third, multiply (3)(-3) to get -9.
Fourth, combine the like terms. (x and -9 alone).
Fifth, subtract (12x + -7x) to get 5x.
Sixth, change 5x + -9 into a subtraction.
Seventh, since both sides are equal, that means that the equation has infinite solutions.
Answer:
B) infinite solutions
Answer:
It takes 10 years approximately for the population to reach 22,500
Step-by-step explanation:
Given:
Initial population = 8000
Population growth rate 4.5 %
Future population = 22500
To Find:
Time taken to reach a population of 22500
Solution:
The population growth can be identified by using

where
N is future popluation
is the initial population
t is the time taken
r is the rate of the growth
Here we have to find the time t, rephrasing the formula


Substituting the values we get,



t = 9.97
t=10(approx)