Answer:

Step-by-step explanation:
Given the expression




Cancel the common factor: x+y

Thus,

• f(x) = 3x + 4
• g(x) = 8x + 1
Sum both functions above:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = (3x + 4) + (8x + 1)
(f + g)(x) = 3x + 8x + 4 + 1
(f + g)(x) = 11x + 5
Therefore,
(f + g)(0) = 11 · 0 + 5
(f + g)(0) = 0 + 5
(f + g)(0) = 5 <——— this is the answer.
I 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.
Answer:
x = -8
Step-by-step explanation:
I will show each step algebraically. If you need further explanation, feel free to ask questions :)
Rewrite
Subtract 7
Multiply by reciprocal (2/1)
I hope this helps!