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3 years ago

Please help! I’m in a test rn! If f(x) and g(x) are inverse functions of each other, which of the following statements is true?

Mathematics

1 answer:

White raven [17]3 years ago

5 0

Answer:

D) $(g\cdot f)(x)=x$

Step-by-step explanation:

If two functions $f(x)$ and $g(x)$ are inverse of each other, then the following conditions must be true:

i. $(f\cdot g)(x)=x$

ii. $(g\cdot f)(x)=x$

Therefore, out of the four choices available, only option D matches the condition for inverse function to exist.

Therefore, $(g\cdot f)(x)=x$

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A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips, etc.). While

Murljashka [212]

Answer:

The expected number of appearance defects in a new car = 0.64

standard deviation = 0.93(approximately)

Step-by-step explanation:

Given -

7% had exactly three, 11% exactly two, and 21% only one defect in cars.

Let X be no of defects in a car

P(X=3) = .07 , P(X=2) = .11 , P(X=3) = .21

P(X=0 ) = 1 - .07 - .11 - .21 = 0.61

The expected number of appearance defects in a new car =

E(X) = $\nu$ = $= \sum X P(X) =3\times 0.07 + 2\times0.11 + 3\times0.21 + 0\times0.61$ = 0.64

$\sigma^{2}$ = variation of E(X) = $\sum (X - \nu) ^{2}P(X)$ = $(3 - 0.64) ^{2}\times0.07 + (2 - 0.64) ^{2}\times0.11 + (1 - 0.64) ^{2}\times0.21 + (0 - 0.64) ^{2}\times0.61$

= $(2.36) ^{2}\times0.07 + (1.36) ^{2}\times0.11 + (.36) ^{2}\times0.21 + ( 0.64) ^{2}\times0.61$ = 0.8704

standard deviation = $\sqrt{\sigma^{2}}$ = $\sqrt{0.8704^{2}}$ = 0.93(approximately)

4 0

3 years ago

What are 5 numbers that have 5, 11, and 2 as prime factors

Firdavs [7]

110, 220, 330, 440, 550

hope this helps

5 0

3 years ago

What is an equation parallel to y=3x-5

choli [55]

Answer:

ANY line that has a slope of 3, and any y intercept other than -5.

Step-by-step explanation:

Parallel lines have the same slopes, but different y intercepts.

So, it would be ANY line that has a slope of 3, and any y intercept other than -5.

here are a few examples:

y=3x-17

y=3x+4

y=3x+3293248032843209.3432492384032984032984023840398249082

y=3x+5

y=3x-1

y=3x

7 0

2 years ago

How many complex zeros does y = x^5 have?

lys-0071 [83]

Answer:

no complex zeros.

Step-by-step explanation:

The given equation is

$y=x^5$

To find the zeros equate y=0.

$x^5=0$

We know that, if n>0, then

$x^n=0\Rightarrow x=0$

So,

$x^5=0\Rightarrow x=0$

It means zero or root of the given equation is 0 with multiplicity 5.

Therefore, the given equation have no complex zeros.

4 0

2 years ago

Can someone answer this please??

anyanavicka [17]

volume of A = 1728

volume of B = 729

(1728 / 729) = (a / b)^3 (a = width of A, b = width of B)
a / b = cube root (1728 / 729) = 4/3 b = 10 (given)
a / 10 = 4/3 
a = 40/3 = 13.33333
so width of A is 13.33m

3 0

2 years ago