Answer:
3x^2+24x=-48 -> one solution, x=-4
4x^2-16x=0 -> has two solutions, x=0 and x=4
5x^2+2=4x -> has no solutions,
3(x+5)^2=-2 -> has no solutions.
Step-by-step explanation:
Answer:
12 boys, 36 girls
Step-by-step explanation:
We can use systems of equations to solve this using substitution.
Let b = # of boys in the class
Let g = # of girls in the class
b + g = 48
g=3b
b+(3b)=48
4b=48
b=12
12*3=36
Check:
36+12=48
Answer:
(-7,2)
Step-by-step explanation:
The point (7,-2) when reflected across the x-axis becomes (7, 2). When it is reflected across the y-axis it becomes (-7,2). You can find this because when a point is reflected across the x-axis, its y-coordinate changes its sign. The same is true when reflected across the y-axis. It's x coordinate changes its sign.
A double reflection across both axis changes the sign of each coordinate.