Reagan jars 6 liters of jam every day. How much jam did Reagan jar if she spent 3 days making jam?

Find the domain of the function algebraically: <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D

BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

$R(x) = \frac{x}{x^2-x-2}$

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

$x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2$

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

#LearnwithBrainly

7 0

3 years ago

The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The

otez555 [7]

Answer:

empirical rule: 81.5%

table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

z = (35,000 -30,000)/5,000 = 1

Empirical rule solution

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

(100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

Calculator solution

A probability calculator for the Normal distribution tells you that ...

P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0

2 years ago

What are the zeros of the quadratic function? f(x)=3x2−300 Enter your answers in the boxes.

nata0808 [166]

Hi there!

We can find the zeros of a function by solving f(x) = 0. We find the following:

$3 {x}^{2} - 300 = 0$
Add 300 to both sides.

$3 {x}^{2} = 300$
Divide by 3.

${x}^{2} = 100$
Take the root and minus root of both sides.

$x = \sqrt{100} = 10 \\ or \\ x = - \sqrt{100} = - 10$

Therefore, the zeros are
x = 10 and x = -10.

~ Hope this helps you!

5 0

3 years ago

Who can help me out on this please??

Vera_Pavlovna [14]

Answer:

no

Step-by-step explanation:

4+6 does not equal 12 so there for it is incorrect

8 0

3 years ago

The mass of a basket with 25 chocolate bars is 110g. The mass of the empty basket is 310g.

Pepsi [2]

Answer:

a) 44g
b)4620g

Step-by-step explanation:

a)
25 chocolates = 1100g
1 chocolate = 1100/25
answer: 44g

b)
25 chocolates = 1100g
1 chocolate = 1100/25
100 chocolates = 1100/25×105
answer: 4620g

8 0

2 years ago