Answer:
B, D, and E.
Step-by-step explanation:
A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.
B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.
C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).
D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.
E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.
The equation of a line that passes through points (0, 2) and (-2,0) is y=1x+2
answer right 2, up 3
any function with the following form is a transformation from f(x) = x²
g(x) = (x – a)² + b
were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.
then for a=2 positive and b=3 positive, we have
right 2, up 3
Answer:
15 weeks and you both will have $270
Explanation:
60+14x=120+10x
4x=60
x=15 weeks
amount= 60+14*15= $270
Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
