All categories

1 year ago

Function g defined by g(x)=3-x^2 , x ER evaluate:g(2)

Mathematics

1 answer:

xenn [34]1 year ago

7 0

Given the function:

$g(x)=3-x^2,\text{ }x\in\Re$

You have to evaluate g(2), this means that you have to replace the equation of the function with x=2 and solve:

- First, replace x=2 into the equation

$\begin{gathered} g(x)=3-x^2 \\ g(2)=3-2^2 \end{gathered}$

- Next, solve the exponent and then the difference to find the value of g(2)

$\begin{gathered} g(2)=3-2^2 \\ g(2)=3-4 \\ g(2)=-1 \end{gathered}$

The value of g(x) when x=2 is -1.

You might be interested in

Understanding the Pythagorean Theorem – Finding an Unknown Hypotenuse (find the distance of the mechanical webbing needed by Spi

barxatty [35]

Answer:

100√65 yds

Step-by-step explanation:

The Pythagorean Theorem is a^2+b^2=c^2. In this case a=700, b=400, and c is the unknown.

700^2+400^2=c^2
490000+160000=c^2
650000=c^2
c=√650000

√650000=√(100^2•65)=100√65

7 0

3 years ago

A 5.5-foot-tall woman walks at 4 ft/s toward a street light that is 27.5 ft above the ground. what is the rate of change of th

Citrus2011 [14]

Answer:

Rate at which the shadow is moving = -5 ft/s.

Step-by-step explanation:

I can do the second part for you:

If the distance of the woman from the wall is Xp , the length of the shadow is Xs and the distance from the tip of the shadow to the wall is X we have the relation:

X = Xp + Xs.

We need to find X' (the rate that the tip of the shadow is moving). at Xp = 16 and X'p = -4 ft/s.

We need a relation between X and Xp so we have to eliminate Xs.

By similar triangles 5.5 / 27.5 = Xs / x

1/5 = Xs/x

Xs = x /5 so substituting in the above relation:

X = Xp + X/5

4X/5 = Xp

X = 5Xp / 4

Taking derivatives:

X' = 5X'p / 4

Now X'p is given as - 4 so

X' = -20/4 = -5 ft/s.

3 0

3 years ago

The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 househo

nalin [4]

Answer:

$\mu = 56.8$

$\sigma = 12.1$

A)what is the probability that the sample mean will be More than 58 pounds

P(x>58)

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{58-56.8}{12.1}$

$Z=0.09917$

refer the z table

P(x<58)=0.5359

P(X>58)=1-P(x<58)=1-0.5359=0.4641

Hence the probability that the sample mean will be More than 58 pounds is 0.4641

B)what is the probability that the sample mean will be More than 57 pounds

P(x>57)

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{57-56.8}{12.1}$

$Z=0.0165$

refer the z table

P(x<57)=0.5040

P(X>57)=1-P(x<57)=1-0.5040=0.496

Hence the probability that the sample mean will be More than 57 pounds is 0.496

C)what is the probability that the sample mean will be Between 55 and 57 pound

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{57-56.8}{12.1}$

$Z=0.0165$

refer the z table

P(x<57)=0.5040

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{55-56.8}{12.1}$

$Z=-0.1487$

refer the z table

P(x<55)=0.4443

P(55<x<57)=P9x<57)-P(x<55) =0.5040-0.4443=0.0597

Hence the probability that the sample mean will be Between 55 and 57 pounds is 0.0597

D)what is the probability that the sample mean will be Less than 53 pounds

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{53-56.8}{12.1}$

$Z=−0.314$

refer the z table

P(x<53)=0.3783

The probability that the sample mean will be Less than 53 pounds is 0.3783

E)what is the probability that the sample mean will be Less than 48 pounds

Formula : $Z=\frac{x-\mu}{\sigma}$

Substitute the values :

$Z=\frac{48-56.8}{12.1}$

$Z=−0.727$

refer the z table

P(x<48)=0.2358

The probability that the sample mean will be Less than 48 pounds is 0.2358

5 0

3 years ago

Keisha is walking around a track that is 400 yards long. How many more yards does she need to walk around the track to complete

lutik1710 [3]

400x4 is 1 mile so 400x8 is 2 miles so 3,200 is 2 miles minus 400 because she already walked that so the answer is 2,800

6 0

3 years ago

What is 1 , 318 × 27 ?

lisov135 [29]

Answer:

1,8586

Step-by-step explanation:

8 0

4 years ago