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IgorC [24]
3 years ago
10

Find the inverse of y=1/2x+6. Show steps

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

y = 2x - 12

Step-by-step explanation:

To find the inverse of a function, you switch x and y and solve for y.

x = 1/2 y + 6                 switch x and y

x - 6 = 1/2 y                  subtract 6 from both sides

2x - 12 = y                    multiply both sides by 2

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Whitepunk [10]

Answer:

question?

Step-by-step explanation:

7 0
3 years ago
How to do? Can anyone help me please? I will appreciate that a lot!
Nitella [24]
Triangle ABD is i<span>nscribed in circle and </span>has hypotenuse as circle's diameter so angle ABD must be 90°

Since it is parallelogram, ∠ABD = ∠BDC = 90° and it is given that ∠ADB = 30°

So we have ∠CDO = ∠CDB + ∠ADB = 30° + 90° = 120°

Final answers: ∠CDO = 120° and ∠ABD = 90°
4 0
3 years ago
Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a
Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0       (1)

f'(1) = 0 leads 3a + 2b + c = 0           (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3    (3)

f(1) = 0 leads a + b + c + d = 0        (4)

(1) - (2):   24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4)   -28a + 8b - 4c = 3    (5)

(1) * 4 + (5):  80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

So

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0
2 years ago
(-9) - 9n= (-45) please helpppp!
kozerog [31]

Answer: n=4

Step-by-step explanation:

\left(-9\right)-9n=\left(-45\right)

add 9 to both sides

-9-9n+9=-45+9

-9n=-36

divide both sides by -9

n=4

Brainliest please

8 0
3 years ago
Read 2 more answers
How do i solve this as an inequality?<br>a. 2x+6 &lt;14<br><br>please send a step by step!! :)​
Y_Kistochka [10]

Answer:

2x+6<14

2x<14-6

2x<8

x<4

6 0
3 years ago
Read 2 more answers
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