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Ksivusya [100]
2 years ago
14

What is the inverse of the function f(x)=x-12

Mathematics
1 answer:
leva [86]2 years ago
5 0
I hope this helps you


f(x)=x-12


X=f(x)+12


f^-1(x)=x+12
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Follow the steps to solve this equation. 3(2x + 6) – 4x = 2(5x – 2) + 6 1. Use the distributive property: 6x + 18 – 4x = 10x – 4
Yuliya22 [10]

Answer:

x=2.

Step-by-step explanation:

We have been given an equation 3(2x+6)-4x=2(5x-2)+6. We are supposed to solve our given equation step by step.

Step 1: Use the distributive property.

3\cdot 2x+3\cdot 6-4x=2\cdot 5x-2\cdot 2+6

6x+18-4x=10x-4+6

Step 2: Combine like terms.

6x-4x+18=10x-4+6

2x+18=10x+2

Step 3: Use subtraction property of equality:

2x-2x+18-2=10x-2x+2-2

16=8x

Step 4: Use the division property of equality:

\frac{16}{8}=\frac{8x}{8}

2=x

Therefore, the solution of our given equation is x=2.

8 0
3 years ago
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The position of an object moving along a straight line for
NikAS [45]

Answer:

at 2/3 seconds

Step-by-step explanation:

S1(t) = t³ + 2

Average speed, dS1/dt = 3t²

S2(t) = t²

Average speed, dS2/dt = 2t

The distance between the objects is

dS1/dt - dS2/dt

= 3t² - 2t

The time the distance between the two object is at minimum is when the distance is 0

That is, when

3t² - 2t = 0

t(3t - 2) = 0

t = 0 or 3t - 2 = 0

t = 0 or t = 2/3

3 0
3 years ago
01. Se tienen los angulos consecutivos AOB, BOC y COD. se cumple m&amp; AOC=125° m <br>​
Citrus2011 [14]

La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°.

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.

<h3>Cómo analizar tres ángulos consecutivos</h3>

Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.

De acuerdo con el enunciado, tenemos las siguientes condiciones:

∠AOB + ∠BOC = 125°   (1)

∠BOC + ∠COD = 100°  (2)

Por (1) y (2) tenemos las siguiente identidad:

∠AOB - 25° = ∠COD

∠AOB - ∠COD = 25°

La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°. \blacksquare

En el segundo caso, tenemos el siguiente sistema:

∠AOB = ∠BOC + ∠COD     (3)

∠AOB + ∠BOC - ∠COD = 40°     (4)

Por (3) y (4) tenemos la siguiente identidad:

2 · ∠BOC = 40°

∠BOC = 20°

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°. \blacksquare

Para aprender más sobre ángulos, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/21209282

8 0
2 years ago
In ΔOPQ, the measure of ∠Q=90°, OQ = 20, PO = 29, and QP = 21. What is the value of the sine of ∠P to the nearest hundredth?
Rufina [12.5K]

Answer:

  0.69

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the sine is the ratio ...

  Sin = Opposite/Hypotenuse

For angle P, the opposite side is OQ. The hypotenuse is the longest side, PO. So, the sine is ...

  sin(P) = OQ/PO = 20/29

  sin(P) ≈ 0.69

3 0
3 years ago
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What is the value of y?
nika2105 [10]

Answer:

y =24

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

y+18  + 3y -41  = y+49

Combine like terms

4y -23 = y+49

Subtract y from each side

4y -y -23 = y+49-y

3y -23 = 49

Add 23 to each side

3y -23+23 = 49 +23

3y = 72

Divide by 3

3y/3 = 72/3

y =24

4 0
2 years ago
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