Answer:
The two points solutions to the system of equations are: (2, 3) and (-1,6)
Step-by-step explanation:
These system of equations consists of a parabola and a line. We need to find the points at which they intersect:
Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:
x = 2 and x = -1
Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:
when x = 2 then 
when x= -1 then 
Then the two points solutions to the system of equations are: (2, 3) and (-1,6)
Answer:
236,859 people visited the water park the year it opened.
Step-by-step explanation:
426,731 - 102,865= 323,866 the amount of people that visited last year
323,866 - 87,007 = 236,859 the amount of people that visited the water park the year it opened
Answer:
6 miles per hour
Step-by-step explanation:
speed = distance/time
speed = 1/2÷1/12 which is the same as
1/2 x 12/1 = 6
6 miles per hour.
or ou could change the 1/2 to become 0.5
and the 1/12 to become 0.083333333
and divide 0.5 ÷ 0.083333333 = 6.000000024
rounded to one decima place become 6.0
6 miles per hour
Answer:
99
Step-by-step explanation:
12x4=48
12x3=36
12-4-5=3
3x5=15
48+36+15=99
Answer:
The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.
Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.
The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)
The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)
Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.
Step-by-step explanation:
