Answer:
given
fx = 4x+1
gx= 2x+1
Step-by-step explanation:
fg x = ?
we know ,
f g x = (4x+1) ( 2x+1)
= 4x ( 2x+1) +1 (2x+1)
= 8x² +4x +2x+1
= 8x² + 6x +1
Answer:C(x) = 2000+ 0.05 x
Step-by-step explanation: Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
Answer:
gloves cost $5
hats cost $4
Step-by-step explanation:
four pairs of gloves and four hats for $36.00
4g + 4h = 36
three pairs of gloves and four hats for $31.00
3g + 4h = 31
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Subtract the second equation from the first
4g + 4h = 36
-( 3g + 4h = 31 )
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g = 5
gloves cost $5
substitute for g = 5 into either equation
4(5) + 4h = 36
20 + 4h = 36
Subtract 20 from both sides
4h = 16
Divide both sides by 4
h = 4
hats cost $4
(12/30)x100 is 40%
This is percent of incorrect answers. The total percent must be 100% so subtract 100-40=60%.
60% answers were answered correctly.
23x = -3x^2 + 8
3x^2 + 23x - 8 = 0
3x^2 + 24x - x - 8 = 0
3x (x + 8) -1 (x + 8) = 0
(x + 8) (3x - 1) = 0
x = -8 or x = 1/3