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Nonamiya [84]
2 years ago
13

19. If f(x) = 6x + 3, find f-1(x).

Mathematics
1 answer:
KengaRu [80]2 years ago
4 0

Answer:

f^{-1}(x) = \frac{x-3}{6}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 6x + 3 ( subtract 3 from both sides )

y - 3 = 6x ( divide both sides by 6 )

\frac{y-3}{6} = x

change y back into terms of x, thus

f^{-1}(x) = \frac{x-3}{6}

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A florist must make 5 identical
Sonbull [250]

Answer:

A. 40x + 10y + 10z = $160

B. 8 Roses, 2 lilies and 2 irises

C.

1. 20x + 5y + 5z = $80

2. 4x + y + z = $16

3. 8x + 2y + 2z = $32

Step-by-step explanation:

Cost for each flower = $160/5 = $32

So we have $32 for each bouquet consisting of 12 flowers each.

Roses = x = $2.50 each

lilies = y = $4 each

irises = z = $2 each

8x + 2y + 2z = $32

8($2.50) + 2($4) + 2($2) = $32

$20 + $8 + $4 = $32

$32 = $32

a. Maximum budget is $160

40x + 10y + 10z = $160

40($2.50) + 10($4) + 10($2) = $160

$100 + $40 + $20 = $160

$160 = $160

b. From above

8x + 2y + 2z = $32

8 Roses, 2 lilies and 2 irises

c. No. There are other solutions If total cost is not limited

1. 20x + 5y + 5z

20($2.50) + 5($4) + 5($2)

$50 + $20 + $10

= $80

2. 4x + y + z

4($2.50) + $4 + $2

$10 + $4 + $2

= $16

3. 8x + 2y + 2z

8($2.50) + 2($4) + 2($2)

$20 + $8 + $4

= $32

7 0
2 years ago
A band has 36 members. They are arranged into 6 equal rows. How many band members are in each row? Can the same 36 members be pl
Galina-37 [17]

Answer:

6 people would be in each row // It isn't possible for there to be 7 equal rows

Step-by-step explanation:

36 members/6 rows= 6 people per row // 36 members/7 rows= 5.14..... people per row (just doesn't work!)

6 0
3 years ago
PPLEASEE HELP<br> FIND THE VOLUME
Doss [256]

Answer:

volume = 7 * 4 * 24 = 672 m 3

Step-by-step explanation:

a^2 = 25^2 - 7^2 = 576

-> a = 24

volume = 7 * 4 * 24 = 672 m 3

7 0
3 years ago
Read 2 more answers
20 POINTS!!!
ololo11 [35]
3 drops : 4 pints = x drops : 16 pints

3drops/4pints = x/16pints

(3drops/4pints)*16pints = x
*cancel pints unit*
(3drops/4)*16 = x
(16*3)drops/4 = x
48 drops / 4 = x
12 drops = x (ANSWER)
4 0
3 years ago
Write the standard form of the equation of the circle with center (8,−1) that passes through the point (6,7)
marshall27 [118]

Answer:

(x - 8)^2 + (y + 1)^2 = 68

Step-by-step explanation:

The standard form of the equation of the circle with center (8,−1) is :

(x - 8)^2 + (y + 1)^2 = R^2

If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.

5 0
2 years ago
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