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3 years ago

What is the inverse of the function f(x) = 2x + 1?

Mathematics

2 answers:

klemol [59]3 years ago

6 0

y=0.5(x−1)

Hope i helped

harkovskaia [24]3 years ago

4 0

y=2x+1, replace x by y and vice versa

x=2y+1 now solve for y

y=0.5(x-1)

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What is the graph of 3x + 5y = –15?

Liono4ka [1.6K]

Answer:

Graph is option A

Step-by-step explanation:

3x + 5y = –15

To graph the equation , we need to get y alone

$3x + 5y = –15$

Subtract 3x on both sides

$5y = -3x–15$

Divide whole equation by 5

$y=-\frac{3x}{5} -3$

To graph this equation , we need to make a table

Plug in some number for x and find out y

x $y=-\frac{3x}{5} -3$

0 -3

-5 0

Two points on the graph is (-5,0) and (0,-3)

Graph is option A

7 0

3 years ago

Read 2 more answers

Find the area of the regular polygon. Round your answer to the nearest tenth. 344.3 in.2 172.2 in.2 84.4 in.2 50.0 in.2

My name is Ann [436]

Area = \frac{a X p}{2}
Area = apothem times perimeter over 2

7 0

3 years ago

14=3/8 find the quotient

ANTONII [103]

Answer:

The equation is always false

Step-by-step explanation:

5 0

3 years ago

Three times the sum of a number and 4 is the same as 18 more than the number

11Alexandr11 [23.1K]

First, figure out what you do and don't know....
You do know that 3 times the sum of a number and 4 is 18 more than the number....you don't know the number so you make it the variable x
now take 3 times the sum of a number and 4 and make that an expression 3x+4 this expression is the same or equal to the sum of x and 18 x+18
3x+4=x+18
2x+4=18
2x=14
x=7
hope this helped :)

5 0

3 years ago

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

2 years ago