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JulsSmile [24]
3 years ago
13

Find the inverse of f(x) = 3x - 2.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

x=0.6

Step-by-step explanation:

f(×)=3x-2 , 0=3x-2

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The Johnsons want to cover their backyard with new grass. Their backyard is rectangular, with a length of 3x – 5 feet and a widt
kolezko [41]

Answer:

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

Their backyard is rectangular, with a length of 3x – 5 feet and a width of 4x – 10 feet. This means that the area of the backyard is

(3x - 5)(4x - 10)

= 12x² - 30x - 20x + 15

= (12x² - 50x + 15) square feet

Their rectangular swimming pool, along with its surrounding patio, has dimensions of x + 8 by x – 2 feet. This means that the area occupied by the swimming pool and its surrounding patio is

(x + 8)(x - 2)

= x² - 2x + 8x - 16

= x² + 6x - 16

Assuming the swimming pool and its surrounding patio will not be covered with new grass, then the area of the region of the yard that they want to cover with new grass is

12x² - 50x + 15 - (x² + 6x - 16)

= 12x² - 50x + 15 - x² - 6x + 16

= 12x² - x² - 50x - 6x + 15 + 16

= 11x² - 56x + 31 square feet

3 0
2 years ago
Which line has the steepest slope?
LiRa [457]

Line A, because it is the most vertical

5 0
2 years ago
Read 2 more answers
The local train heading for Westford at 60km/h and the express train heading for Eastford at 80 km/h pass each other at Centervi
Wewaii [24]

Answer:

The maximum distance to the nearest kilometer between Westford and Centerville is 111.43 km.

Step-by-step explanation:

Local train stats:

Rate = 60 km/h

Distance = x km

Time = x/60 hours

Express train stats:

Rate = 80 km/h

Distance = (195-x) km

Time = (195-x)/80 hours

Now we will equate both the times.

x/60 =(195-x)/80

x/3= (195-x)/4

4x= 585-3x

7x= 585

x = 83.57 km

195-x=195-83.57= 111.43 km

Hence, the maximum distance to the nearest kilometer between Westford and Centerville is 111.43 km.

3 0
2 years ago
What is <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%20-%203" id="TexFormula1" title="f(x) = 2x - 3" alt="f(x) = 2x
xz_007 [3.2K]

Answer:

Solution

Correct option is C)

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

6 0
1 year ago
Solve the following equation for x.<br> 0.1(x + 250) = 5,000<br> h
yan [13]

Answer:

x=49750

Step-by-step explanation:

0.1(x + 250) = 5,000

Divide each side by .1

0.1(x + 250)/.1 = 5,000/.1

x+250 =50000

Subtract 250 from each side

x+250-250 = 50000-250

x=49750

3 0
2 years ago
Read 2 more answers
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