To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -5 ± √((5)^2 - 4(-11)(-3)) ] / ( 2(-11) )
x = [-5 ± √(25 - (132) ) ] / ( -22 )
x = [-5 ± √(-107) ] / ( -22)
Since we conclude that √-107 is nonreal, the answer to this question is that there are no real solutions.
Answer
After 13.15 years the population of both towns will become equal.
Step-by-step explanation:
Population of the city Anville is given by using the compound interest formula
The formula of compound interest
A = p( 1+r/n)^n*t
using this we get
P1 = 16000 (1 +
) ^1*t
Population of the city of Brinker will be
P2 = 11000( 1 + 
) ^1*t
now to make equal population in both towns
P1=P2
16000 (1 +) ^1*t = 11000( 1 + ) ^1*t
t = 13.15 years
Answer:
the slope is flatter
the line is shifted 7 down
Step-by-step explanation:
Answer:
X = 66
Step-by-step explanation:
A straight line is equal to 180 degrees so if you have one side of that line you can figure out the inside angle.
Now that you have two of the angles inside the triangle add them up. All the interior angles of a triangle will add to 180. So add up 38 and 76 to get 114. Now do 180 - 114, you should get 66
so x = 66
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, 1) and (1, 2). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(1 - 0)
m = 1/1
m = 1
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = 1x
y = 1x + 1
