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igor_vitrenko [27]
3 years ago
15

Which function is the inverse of f(x) = 2x + 3?

Mathematics
2 answers:
lianna [129]3 years ago
8 0

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

The easiest way to find the inverse is to switch x and y and solve for y.

y = 2x + 3

x = 2y + 3 (Switch)

x-3 = 2y (Subtract y from both sides)

x/2 - 3/2 = y (Divide both sides by 2)

klemol [59]3 years ago
8 0

Answer:

The inverse is 1/2x -3/2

Step-by-step explanation:

y = 2x+3

To find the inverse, exchange x and y

x = 2y+3

Solve for y

Subtract 3 from each side

x-3 = 2y+3-3

x-3 =2y

Divide each side by 2

x/2 -3/2 = 2y/2

1/2x -3/2 =y

The inverse is 1/2x -3/2

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Which expression is equivalent to -6(-2/3+2X)?
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Answer:

4-12x

Step-by-step explanation:

-6(-2/3)= 12/3=4

5 0
3 years ago
The table shows the distance 4 people swam. Who swam a greater distance than Milo​
ryzh [129]

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Lorrie and karrie

Step-by-step explanation:

8 0
3 years ago
The cost for Dana and Courtney's lunch is $24. If they want to leave a
sergij07 [2.7K]
<h3>Total cost of their lunch, including the tip is $ 27.6</h3>

<em><u>Solution:</u></em>

The cost for Dana and Courtney's lunch is $24

They want to leave a  15% tip

To find:  total cost of their lunch, including the tip

<em><u>Find the tip amount</u></em>

Tip amount = 15 % of 24

Tip\ amount = \frac{15}{100} \times 24\\\\Tip\ amount = 0.15 \times 24\\\\Tip\ amount = 3.6

<em><u>what is the total cost of their lunch, including the tip?</u></em>

Total cost = cost of lunch + tip amount

Total cost = 24 + 3.6

Total cost = 27.6

Thus total cost of their lunch, including the tip is $ 27.6

7 0
3 years ago
The time required for workers to produce each unit of a product decreases as the workers become more familiar with the productio
Marat540 [252]

Answer: 2.79 hours.

Step-by-step explanation:

Given that the function for the learning process is T(x) = 2 + 0.3 1 x , where T(x) is the time, in hours, required to produce the xth unit

To calculate the time for the new worker to produce 10 units, substitute 10 for x in the equation above.

T(x) = 2 + 0.31 (10)

T(x) = 2 + 3.1

T(x) = 5.1 hours

To calculate the time for the new worker to produce 19 units, substitute 19 for x in the equation above.

T(x) = 2 + 0.31(19)

T(x) = 2 + 5.89

T(x) = 7.89 hours

The time required for a new worker to produce units 10 through 19 will be

7.89 - 5.1 = 2.79 hours

7 0
3 years ago
Solve the system of linear equations with substitution;
kvv77 [185]
Let's solve for x.
x
+
4
y
=
(
14
)
(
3
)
x
+
7
y
Step 1: Add -42x to both sides.
x
+
4
y
+
−
42
x
=
42
x
+
7
y
+
−
42
x
−
41
x
+
4
y
=
7
y
Step 2: Add -4y to both sides.
−
41
x
+
4
y
+
−
4
y
=
7
y
+
−
4
y
−
41
x
=
3
y
Step 3: Divide both sides by -41.
−
41
x
−
41
=
3
y
−
41
x
=
−
3
41
y
Answer:
x
=
−
3
41
y
8 0
3 years ago
Read 2 more answers
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