Answer:
The linear function that discribes the size of the population in function of the t in years is p = 700t - 1,397,300
Step-by-step explanation:
A linear function is defined by a line, so in order to determine the linear function we can use the two points that were given to us to create a line equation and use that as our linear function. The points given to us were (2009; 9000) and (2014; 12500), in this case the year is our value of "x" and the size of the population is our value of "y". The first step is to find the slope of the line which is given by:
m = (y2 - y1)/(x2 - x1)
m = (12500 -9000)/(2014 - 2009) = 3500/5 = 700
Then we can use the slope and the first point to build the equation:
p - 9000 = 700*(t - 2009)
p = 700t - 1406300 + 9000
p = 700t - 1397300
Answer:
I think it would be D.
I apologize if that is wrong
60,000 is divisible by both 4 and 6
For the given function f(x) = –5|x + 1| + 3 the value of x = 2, -4
<h3>What will be the value of x?</h3>
To find the answer to this question, we will have to find the values of x where:
-5|x + 1| + 3 = -12
We can solve this equation for x to find the values of x that satisfy this equation.
-5|x + 1| + 3 = -12
Subtract 3 from both sides.
-5|x + 1| = -15
Divide both sides by -5.
|x + 1| = 3
Now here, the equation will split off into two different equations. These two are:
x + 1 = 3
x + 1 = -3
Lets solve the first one first.
x + 1 = 3
Subtract 1 from both sides.
x = 2
Now we solve the second one.
x + 1 = -3
Subtract 1 from both sides.
x = -4
So now we have the answers x = 2 and x = -4.
So the values of x are x = 2, -4
To know more about Functions follow
brainly.com/question/25638609
Answer:
f⁻¹(x) = ± √x-6
Step-by-step explanation:
f(x) = x² + 6
y = x² + 6
x = y² + 6 ... replace x and y
solve y: y² = x - 6
y (f⁻¹(x)) = ± √x-6
