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3 years ago

What is the inverse function of f(x)= 4- x/6

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

Answer:

$f^{-1}(x) = 6(4-x) = 24-6x$

Step-by-step explanation:

Let $y=f(x)$ and swap x and y:

$x = 4 - \frac{y}{6}$

Then, rearranging for y:

$x+\frac{y}{6} = 4$

$\frac{y}{6}= 4-x$

$y= 6(4-x) = 24-6x$

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Factor -8c^5d^6-27c^4d^4-24c^2d^3

Nikolay [14]

GCF = -c^2d^3

Factors are -c^2d^3(8c^3d^3 + 27c^2d + 24)

7 0

3 years ago

Can u help me with this and I don't wanna rush u but can we hurry because my homework has a timer and it will close I've been wo

deff fn [24]

Answer:

Step-by-step explanation:

C , looks like the right answer, and probably this is too late to help... :/ sorry

3 0

3 years ago

¿Alguien sabe como realizarlo?

sashaice [31]

Hola! Intente resolverlo pero solo hice la primera por mi tiempo ahorita mismo y era:
f(0)=1
Toda la ecuación

7 0

2 years ago

A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is f

zaharov [31]

Answer:

3200 ft-lb

Step-by-step explanation:

To answer this question, we need to find the force applied by the rope on the bucket at time $t$

At $t=0, the weight of the bucket is 6+36=42 \mathrm{lb}$

After $t$ seconds, the weight of the bucket is $42-0.15 t \mathrm{lb}$

Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after $t$ seconds is $x=1.5 t$

Since the well is 80 ft deep, the time to pull out the bucket is $\frac{80}{2}=40 \mathrm{~s}$

We are now ready to calculate the work done by the rope on the bucket.

Since the displacement and the force are in the same direction, we can write

$W=\int_{t=0}^{t=36} F d x$

Use $x=1.5 t$ and $F=42-0.15 t$

$W=\int_{0}^{36}(42-0.15 t)(1.5 d t)$

$=\int_{0}^{36} 63-0.225 t d t$

$=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}$

$=\left[63 t-0.2 t^{2}\right]_{0}^{36}$

$W=3200 \mathrm{ft} \cdot \mathrm{lb}$

4 0

3 years ago

Find z of the diagonal triangle. <br> Also, complete b.

STatiana [176]

Answer:

x = 30.91 cm , y = 29,86 cm and z = 39.30 cm.

Total area of wood = 2942.54 cm^2.

Step-by-step explanation:

sin 15 =8/x

x = 8 / sin 15

x = 30.91 cm.

and

tan 15 = 8/y

y = 8 / tan 15

= 29.86 cm.

The value of z can be found using the Pythagoras theorem:

50^2 = x^2 + z^2

z^2 = 20^2 - x^2 = 50^2 - 30.91^2

z^2 = 1554.57

z = √1554.57

= 39.30 cm.

b. The area consists of 3 rectangles :- 1. sides x and z 2. sides z and 8 and the other has sides z and y. Also 2 triangles of height 8 and base length y cm.

Total area = 30.91 * 39.30 + 8 * 39.30 + 29.86 * 39.30 + 2 * 0.5 * 8 * 29.86

= 2942.54 cm^2.

3 0

4 years ago