Answer:
They are equal if that’s what you’re asking
Step-by-step explanation:
Answer:
A. (f+g)(x) means add the two functions, f and g
since f is 2x-2 and g is 6x, you'll just add them together
(f+g)(x)=2x-2+6x = 8x+2
B. (f-g)(x) means subtract the two functions, f and g
since f is 2x-2 and g is 6x, you'll just subtract
(f-g)(x)=2x-2-6x = -4x+2
C. (g-f)(x) I think you're getting the hang of it!
=6x-(2x-2) just be sure to put the second function in parentheses because you're subtracting the whole thing
=6x-2x+2 = 4x+2
D. (g+f)(x) try this on your own and check here
6x+(2x-2) = 6x+2x-2 = 8x-2
Step-by-step explanation:
to add or subtract functions, don't let the function notation throw you off. Pretend each one is just a number and you just add or subtract the whole thing. You got it! Next they will give you something like find (f+g)(5). All that means is add the two functions like in part a, and then in the final answer, plug in 5 instead of x. For example (f+g)(5) = 8x+2 = 8(5) +2 = 42
:)
Answer:
£0.85 for each
£1.70 for both
Step-by-step explanation:
Variable x = cost of baked beans
2.30 + 2(2.60) + 2x = 10 - 0.80
Use PEMDAS
2.30 + 5.20 + 2x = 10 - 0.80
7.50 + 2x = 9.20
Subtract both sides by 7.50
2x = 1.70
Divide both sides by 2 to isolate the variable
x = 0.85
Let's check our work by plugging this into our original equation
2.30 + 2(2.60) + 2(0.85) = 10 - 0.80
2.30 + 5.20 + 1.70 = 10 - 0.80
7.50 + 1.70 = 9.20
9.20 = 9.20
Our number is correct
The point P has coordinates (x,y) = (-2,6) so x = -2 and y = 6
Replace x and y with those values into the rule given
So,
(x,y) ---> (x-2, y-16)
turns into
(-2,6) ---> (-2-2, 6-16) = (-4,-10)
P = (-2,6)
P ' = (-4,-10)
The answer is -10 because your teacher just wants the y coordinate of point P'
