Answer:
Step-by-step explanation:
This kinda looks like the limiting definition of a derivative.
Anyway, what we are doing with the f(2 + h) is evaluating f(x) with 2+h in place for x. That looks like this:
f(2 + h) = 2(2 + h) - 3 which simplifies to
f(2 + h) = 4 + 2h - 3 which simplifies to
2h + 1
From that we are subtracting f(2). What we are doing with that is evaluating f(x) with 2 in place for x. That looks like this:
f(2) = 2(2) - 3 which simplifies to
f(2) = 4 - 3 which simplifies to
f(2) = 1. Now put those together over h to get:

Answer:
-2
Step-by-step explanation:
Assuming you mean 60 + 6b = 48
subtract 60 from both sides: 6b = 48 - 60 = -12
Now divide both sides by 6 to solve for b: b = -12/6 = -2
Answer:
10. x= 10 y=sqrt 200
11. x=y=450
12. x=19 y=sqrt 1083
13. x=sqrt 48 y=sqrt 12
Step-by-step explanation:
10.
x and 10 are the same
10^2+10^2=200
sqrt 200 is not a whole number so y is just sqrt 200
11.
30^2=2x^2 because x and y are the same
x^2=450
sqrt 450 is not a whole number so x and y are just sqrt 450
12.
x= 38 divided by 2=19
38^2=19^2+y^2
1444=361+y^2
y^2=1083
sqrt 1083 is not a whole number so y is just sqrt 1083
13.
x^2=(x/2)^2+36=x^2/4+36
x^2=48
sqrt 48 is not a whole number so x is just sqrt 48
y is half of x so it is sqrt 12
(3x+3) + (4x + 2)
------------------------- = 13
2
13(2) = (3x+3) + (4x+2)
26 = 3x + 3 + 4x + 2
26 = 7x + 5
26-5 = 7x
21 = 7x
x = 21 ÷ 7
x = 3
Answer:
step 2
Step-by-step explanation:
step 1 is good: -5x + 8 = 7
step 2 (error): meant to subtract 8 on both sides
-5x = 7 - 8
-5x = -1
step 3 : divide -5 on both sides
x = -1 / -5
x = 1/5