3 years ago

G(n) = 2n + 4 f(n) = 2n^2 - 4 Find g(n) - f(n)

Mathematics

1 answer:

dolphi86 [110]3 years ago

7 0

Answer:

-2n^2+2n+8

Step-by-step explanation:

g=2n+4

f=2n^2-4

g-f = 2n+4 - (2n^2-4) = -2n^2+2n+8

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Michael drove from home to work at an average speed of 45 mph. His return trip home took 45 minutes longer because he could only

Xelga [282]

The distance from his home to his work place is 118.125 miles

<h3>How to find the distance from his home to his work place?</h3>

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

learn more on distance here: brainly.com/question/21329221

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3 0

2 years ago

One-third of the results of three times a number that is increased by 12.

iragen [17]

1/3 (3x+12)
1/3×3x+1/3×12
x+4

3 0

3 years ago

-10(10x-12)=-9(-9x-2)-5

Viefleur [7K]

10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181