Answer: Yes.
Step-by-step explanation: Plug in your values. Does y=16 when x=4? 16 = 3(4) +4, which equals 16, so yes.
Answer:
z=3
Step-by-step explanation:
Add 3z and 2z
5z-5=25-5z
Add 5z on both sides to eliminate the -5z on the RHS
10z-5=25
Add 5 on both sides to eliminate the -5 on the LHS
10z=30
Divide by 10
z=3
Hope this helps!
Answer:
x^2 - 2x + 5 = 0.
Step-by-step explanation:
The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as
y = ax^2 + bx + 5 where a and b are constants to be found.
Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:
a(1)^2 + 1b + 5 = 4
a(2)^2 + 2b + 5 = 5
Simplify these 2 equations:
a + b = -1 .................(1)
4a + 2b = 0..................(2)
Multiply the first equation by -2:
-2a - 2b = 2 .................(3)
Add (2) + (3):
2a = 2
a = 1.
Substitute a = 1 into (2):-
4*1 + 2b = 0
2b = -4
b = -2.
