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ser-zykov [4K]
3 years ago
10

If f(x)=4x-3,what is f(x)^-1 ?

Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

For future students, the answer is x+3/4. I am taking my semester exam, and got this question right.

pls mark brainli est i need the crowns for the next level

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The number of ways in which 4 squares can be chosen at random on a chess board such that they lie on a diagonal line?.
wariber [46]

The number of ways is 364 if the number of ways in which 4 squares can be chosen at random.

<h3>What are permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

On a chessboard, four squares are randomly selected so that they are adjacent to each other and form a diagonal:

The required number of ways:

= 2(2[C(4, 4) + C(5, 4) + C(6, 4) + C(7, 4)] + C(8, 4))

= 2[2[ 1 + 5 + 15+35] + 70]

= 364

Thus, the number of ways is 364 if the number of ways in which 4 squares can be chosen at random.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ4

5 0
2 years ago
If f(x)f(x) is an exponential function where f(-0.5)=27f(−0.5)=27 and f(1.5)=21f(1.5)=21, then find the value of f(0.5)f(0.5), t
vovikov84 [41]

Given:

f(x) is an exponential function.

f(-0.5)=27

f(1.5)=21

To find:

The value of f(0.5), to the nearest hundredth.

Solution:

The general exponential function is

f(x)=ab^x

For, x=-0.5,

f(-0.5)=ab^{-0.5}

27=ab^{-0.5}          ...(i)

For, x=1.5,

f(1.5)=ab^{1.5}

21=ab^{1.5}          ...(ii)

Divide (ii) by (i).

\dfrac{21}{27}=\dfrac{ab^{1.5}}{ab^{-0.5}}

\dfrac{7}{9}=b^2

Taking square root on both sides, we get

\dfrac{\sqrt{7}}{3}=b

b\approx 0.882

Putting b=0.882 in (i), we get

27=a(0.882)^{-0.5}

27=a(1.0648)

\dfrac{27}{1.0648}=a

a\approx 25.357

Now, the required function is

f(x)=25.357(0.882)^x

Putting x=0.5, we get

f(0.5)=25.357(0.882)^{0.5}

f(0.5)=23.81399

f(0.5)\approx 23.81

Therefore, the value of f(0.5) is 23.81.

6 0
3 years ago
De 1 kg de queso se utilizaron 1/5 gramos para hacer una pizza y ½ para una tarta ¿Cuántos gramos de queso quedaron? ¿Existe más
Mumz [18]

Answer:

Se usaron 700 g de queso, quedando 300 g de queso.

Step-by-step explanation:

Si se usó 1/5 más 1/2 de queso, el total usado fue:

\frac{1}{5}+\frac{1}{2}=\frac{7}{10}    

Entonces, se usó 7/10 del kg inicial de queso. Sabiendo que:

1 kg      ------ 1000 g

7/10 kg ------ x g

Entonces x = 700 g, lo que significa que se usaron 700 g de queso, quedando 300 g de queso.

Este problema se puede resolver utilizando una regla de tres, como se hizo aquí, o mefiante razones, en una equacion lineal.

Espero te haya sido de ayuda!

4 0
3 years ago
How long is the arc intersected by a central angle of StartFraction 5 pi Over 3 EndFraction radians in a circle with a radius of
qaws [65]

The length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to \dfrac{5\pi}{3} is 10.5ft.

<h3>What is the length of the arc of a circle?</h3>

The length of the arc of a circle is equal to the product of the circumference of the circle and the ratio of the angle made by the arc of the circle to 2π. It is given by the formula,

\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}

It is given that the radius of the circle is equal to 2 ft while the angle made by the arc at the centre of the circle is equal to \dfrac{5\pi}{3}. And we know the formula for the length of the arc, therefore, the length of the arc,

\text{Length of the arc}= 2\pi r\times \dfrac{\theta}{2\pi}

                            = 2\pi \times 2 \times \dfrac{\frac{5\pi}{3}}{2\pi}\\\\= 10.471 \approx 10.5\rm\  ft

Hence, the length of the arc of the circle with a radius of 2 ft and the angle made at the centre equal to \dfrac{5\pi}{3} is 10.5ft.

Learn more about the Length of the Arc of a Circle:

brainly.com/question/1577784

5 0
2 years ago
Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1?
Effectus [21]
6f-1 and 2f+ 4f +2-3 are equal. 2f +4f+2-3 is 17 at f=3 because

(2•3)+(4•3)+(2-3) =

(6+12)+(-1) =

(18)+(-1)=

17
Plug in what f equals for f in the equation and evaluate
I hope this helps.

5 0
3 years ago
Read 2 more answers
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