Answer:
f = 3
Step-by-step explanation:
Solve for f:
13 - 6 f = 2 f - 11
Subtract 2 f from both sides:
13 + (-6 f - 2 f) = (2 f - 2 f) - 11
-6 f - 2 f = -8 f:
-8 f + 13 = (2 f - 2 f) - 11
2 f - 2 f = 0:
13 - 8 f = -11
Subtract 13 from both sides:
(13 - 13) - 8 f = -13 - 11
13 - 13 = 0:
-8 f = -13 - 11
-13 - 11 = -24:
-8 f = -24
Divide both sides of -8 f = -24 by -8:
(-8 f)/(-8) = (-24)/(-8)
(-8)/(-8) = 1:
f = (-24)/(-8)
The gcd of -24 and -8 is -8, so (-24)/(-8) = (-8×3)/(-8×1) = (-8)/(-8)×3 = 3:
Answer: f = 3
<span>b. 4+12÷2=4+6=10
c. (20–5)•3=15•3=45</span>
Answer:
x=5/13
Step-by-step explanation:
2/3+7/2=9x+5/6+4x
2/3+7/2-5/6=9x+4x
lcm of 2,3,6=6
2/3=4/6 7/2=21/6 5/6=5/6
4/6+21/6-5/6=9x+4x
30/6=13x
5=13x
x=5/13
Answer:
B. 
Step-by-step explanation:
Well lets graph the following equation first,
H(x) = -.011(x - 82)^2 + 75
Then lets graph all the other equations.
Look at the image below↓
So A.
The purple line does not go farther or higher,
so A. is incorrect
B.
The black line goes higher and farther,
meaning it is correct.
C.
The red line goes farther but not higher.
So it is incorrect
D.
Again the blue line does not go farther of higher.
So its wrong.
<em>Thus,</em>
<em>answer choice B. </em> <em>is correct.</em>
<em />
<em>Hope this helps :)</em>
Let n be the amount of time it takes william to cut the lawn. Then Shelly takes
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount of time Shelly takes working alone
☺☺☺☺
