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Zina [86]
3 years ago
14

PLEASE HELP 100 POINTS

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

f(x)=2/x\\\\g(x)=2/x\\\\f(g(x))=f(2/x)\\\\f(2/x)=2/(2/x)\\\\f(g(x))=2x/2\\\\f(g(x))=x\\\\

and since f(x)=g(x) the same process applies to g(f(x))

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Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
Mama L [17]

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Given:

7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.

Amelia:

7.2b + 6.5 - 7.2b > 4.8b – 8.1 - 7.2b

6.5 > -2.4b - 8.1

Correct

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

7.2b + 6.5 - 4.8b > 4.8b – 8.1 - 4.8b

2.4b + 6.5 > -8.1

Incorrect

Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6

7.2b + 6.5 - 6.5 > 4.8b – 8.1 - 6.5

7.2b > 4.8b - 14.6

Correct

Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.

7.2b + 6.5 + 8.1 > 4.8b – 8.1 + 8.1

7.2b + 14.6 > 4.8b

Correct

5 0
2 years ago
What does 3(x+6)-2 equal
NeTakaya

in simplist form it should be 3x+16

8 0
3 years ago
What is 931 divided by 6
agasfer [191]
932 divided by 6 is 155.166666667

7 0
3 years ago
your local gas stations are having a price war during the past seven days they have lowered the price of regular gas by $0.2 eac
Serga [27]
<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

Given : During the past seven days the price of regular gas is decreased by $0.2 each day.

Rate of decrease =$0.2 per day

Then , Total change in gas price = Rate of decrease x Number of days

i.e.y= 0.2 \times x

i.e. y=0.2x         (1)

To find the total change in gas price in 7 days , we put x= 7 in (1) , we get

y=0.2(7)=1.4    

Hence, the total change in gas price in 7 days = $1.4

8 0
3 years ago
Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.
algol [13]

Answer:

f\left( {2.1} \right) \approx 5.22360.

Step-by-step explanation:

The linear approximation is given by the equation

                            {f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}

Linear approximation is a good way to approximate values of f(x) as long as you stay close to the point x= a, but the farther you get from x=a, the worse your approximation.

We know that,

a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}

Next, we need to plug in the known values and calculate the value of f(2.1):

{L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)

Then

f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360.

6 0
3 years ago
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